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How Factors and Multiples Are Related in Common Core Math

In fourth grade math, Common Core students begin to study how numbers are built from multiplication relationships. The important relationship here is between factors and multiples.

A number’s factors are all the whole numbers by which you can divide it with no remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12. Factors come in pairs, so the factor pairs of 12 are 1 and 12, 2 and 6, and 3 and 4. Sometimes thinking only about the factors that are less than the number in question is useful. They’re called proper factors. The proper factors of 12 are 1, 2, 3, 4, and 6.

Meanwhile, the multiples of a number are all the numbers that it divides with no remainder. The multiples of 12 are 12, 24, 36, 48, and so on. Multiplying 12 by any whole number gives a multiple of 12

Every number has a limited number of factors and infinitely many multiples.

The key building blocks of numbers are prime numbers. A prime number is a number that has exactly two factors: 1 and itself. For example, 7 is a prime number. The only factors of 7 are 1 and 7. (You can divide 7 by 2, but the answer isn’t a whole number.)

Every whole number (besides 1) is either a prime number or it’s built out of prime numbers. If a whole number greater than 1 isn’t a prime number, it’s a composite number. Numbers such as 6, 9, 10, 12, and 100 are examples of composite numbers. For example, 6 has 2 and 3 as a pair of factors,

so 6 has more than just 1 and 6 as factors.

In fourth grade, students study the relationship between factors and multiples — namely that a number is a factor of its multiples and is a multiple of its factors. For example, the factors of 6 are 1, 2, 3, and 6. If you list out the multiples of any of these factors, 6 is on that list. The multiples of 2 are 2, 4, 6, 8, and so on. This intimate relationship between factors and multiples often leads to students confusing the terms factor and multiple. But getting the words right every time doesn’t matter nearly as much as knowing that numbers can be decomposed with multiplication by using factors.

When a number can be decomposed, this means that you can take the number apart, and you can do it in many ways. For example, you can think of 12 as 2 groups of 6, or as 6 groups of 2, or as 3 groups of 4, and so on.

This article is from the book:

• Common Core Math For Parents For Dummies with Videos Online ,

About the book author:

Christopher Danielson, PhD, is a leading curriculum writer, educator, math blogger, and author interpreting research for parents and teachers across the country from his home base at Normandale Community College in Minnesota.

This article can be found in the category:

• Common Core ,

How To Find Multiples Of Numbers In Math

Introduction

Multiplication and division are two of the important operations in mathematics. We can multiply a number by any number. Similarly, a number can be divided by any number. Two important terms that are related to the multiplication and division of numbers are factors and multiples. The understanding of one of these is incomplete without studying the other. Therefore, before we move ahead and learn about multiples let us know what we mean by factors of a number. 

What are Factors?

A factor of a number is an exact divisor of that number. In other words, a factor of a number is that number that completely divides the number without leaving a remainder. For example, each of the numbers, 1, 2, 3, 4, 6 and 12 is a factor of 12. However, none of the numbers 5, 7, 8, 9, 10 and 11 is a factor of 12. 

What is a multiple?

A multiple of a whole number is the product of the number and any counting number. If we multiply 3 by 1, 2 , 3 , 4, 5 , 6 ….. we get

3 x 1 = 3

3 x 2 = 6

3 x 3 = 9

3 x 4 = 12

3 x 5 = 15

3 x 6 = 18 etc.

Thus 3, 6 , 9 , 12 , 15 , 18  and so on are the multiples of 3.

Let us now look at the properties that are satisfied by the multiples.

Properties of Multiples

1. Every multiple of a number is greater than or equal to that number. For example, the multiples of 5 are 5, 10, 15, 20, 25, ……. . In fact, the multiples of a number are obtained by multiplying the number by 1, 2, 3, 4, 5, 6 …. and so on.  Therefore, the smallest multiple of a number is the number itself. Hence, every multiple of a number is greater than or equal to the number itself. 
2. The smallest multiple of a number is the number itself. Since every number can be multiplied by 1 to get the same number, therefore, every number is a multiple of itself.  
3. The number of multiples of a given number is infinite. For example, the multiples of 7 are 7, 14, 21, 28, 35 and so on. We can see that this is a never ending list. Hence, the number of multiples of a given number is infinite.   
4. All multiples of 2 are even numbers. We know that 2, 4, 6, 8, 10, 12 and so on are the multiples of 2. Also, all these numbers 2, 4, 6, 8, 10, 12 ….. are even numbers. Hence, all multiples of 2 are even numbers. 

Let us understand multiples through an example.

Example

Write first five multiples of 17.

Solution

In order to obtain tehf irst five numbers of 17, we will multiply it by 1, 2, 3,  and 5. We will get – 

17 x 1 = 17

17 x 2 = 34

17 x 3 = 51

17 x 4 = 68

17 x 5 = 85

Hence, the first five multiples of 17 are 17, 34, 51, 68 and 85.

Common Multiples of Numbers

We have now understood what we mean by multiples of numbers. Now, if we look at two or more numbers simultaneously, we can obtain some common multiples of those numbers. For instance, we if have two numbers 4 and 6, we can easily say that 12 is a common multiple of both 4 and 6 as 4 x 3 = 12 and 6  x2 = 12. This means that two or more numbers can have common multiples. Those multiples which are common among the multiples of two or more numbers are known as common multiples of those numbers. 

Let us understand this using an example – 

Example

List 3 common multiples of 3, 4 and 9

Solution

We have been given three numbers 3, 4 and 9 and we need to find common multiples of these three numbers.

Let us first write the multiples of the given numbers separately. We will have,

Multiples of 3 are 3, 6, 9, 12, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99, 102, 105, 108, 111 ……….

Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112 ……..

Multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117 …….

From the above multiples of 3, 4 and 9 we can see that the common multiples of 3, 4 and 6 are 36, 72 and 108.

Hence, common multiples of 3, 4 and 6 are 36, 72 and 108.

From above we can see that though there is no end to the list of multiples, there is always the first multiple of a number or group of numbers. Therefore, we cannot define the largest multiple of a number or a group of numbers but we can always list out the first multiple of a number. In the case of a group of numbers, this first multiple is also the least common multiple of these numbers.  

Let us find out what we mean by the least common multiple of numbers. 

Least Common Multiple ( L C M )

If a number is a multiple of two or more numbers, it is called a common multiple of the numbers. For example, we know that

2 x 3 = 6

Therefore, 6 is a multiple of both 2 and 3. Therefore 6 is said to be a common multiple of both 2 and 3.

The Least Common Multiple ( L C M ) of two or more numbers is defined as the smallest number ( other than zero ) that is a multiple of those numbers. In other words, the least common multiple of two or more numbers is the smallest number which is divisible by all the given numbers. This means that there cannot be a number divisible by the given numbers and smaller than the least common multiple.

Let us understand this through an example.

Suppose we have two numbers, 8 and 12.

Let us check the multiples of these two numbers. We have,

Multiples of 8 = 8, 16, 24, 32, 40 , 48, 56, 64, 72 and so on…..

Multiples of 12 = 12, 24, 48, 60, 72 and so on …………

From above we can see that the common multipleS of 8 and 12 are 24, 48, 72 and so on. Among these 24 is the least common multiple of these two numbers. Therefore, 12 is the least common multiple or L C M of 8 and 12.

We have just seen that by writing the multiples of each number, we can compare their multiples and find out the least common multiple among them. But is this the only way to find the least common multiple or do we have some defined steps using which we can find the L C M of two or more numbers? Let us find out.

How to Find a Least Common Multiple ( L C M ) ?

There are two major methods using which we can find the L C M of two or more numbers. These methods are – 

1. Prime Factorisation Method
2. Common Division Method

Let us discuss these methods one by one.

Prime Factorisation Method

As the name suggests, the prime factorisation method involves finding the prime factors of the given numbers and then computing the least common multiple ( L C M ). In this method, the following steps are used to find the L C M  – 

1. Obtain the given numbers.
2. Find the prime factors of each number. 
3. Expand each number as a product of its prime factors
4. Find the product of all different prime factors with the highest power in the prime factorisation of each number.
5. The number obtained in the above step is the required L C M of the given numbers.

 Let us understand the above steps using an example.

Example

Find the L C M of 40, 36 and 126 using the prime factorisation method.

Solution

We have been given the numbers 40, 36 and 126 and we are required to find the L C M of these numbers. Going by the above steps let us first find the prime factors of each of the given numbers. We have,

Prime factors of 40 are – 

40 = 2 x 2 x 2 x 5

Prime factors of 36 are – 

36 = 2 x 2 x 3 x 3

Prime factors of 126 are – 

126 = 2 x 3 x 3 x 7

We can see in the above prime factorisations of the above numbers, the number 2 appears a maximum of three times, which is the case in the number 40. Similarly, the number 3 appears as a factor for the maximum number of 2 times, which is the case in 36 and 126. The prime factors 5 and 7 occur only in 40 and 126 respectively. Therefore, the required L C M of the numbers, 40, 36 and 126 will be 

L C M of 40, 36 and 126 = 2 x 2 x 2 x 3 x 3 x 5 x 7 = 2520

Hence, L C M of 40, 36 and 126 = 2520

Common Division Method

The following steps are followed to find the L C M of two or more numbers using the common division method – 

1. Obtain the given numbers.
2. Arrange the given numbers in a row separated by commas.
3. Obtain a number that divides exactly at least two of the given numbers.
4. Divide the numbers which are divisible by the number chosen in the above step and write the quotients just below them. Carry forward the numbers which are not divisible.
5. Repeat the above steps till no two of the given numbers are divisible by the same number.
6. Find the product of the divisors and the undivided numbers to get the required L C M of the given numbers.

Let us understand the above steps using an example.

Example

Find the L C M of 624 and 936 using the common division method.

Solution

We have been given the numbers 624 and 936 and we are required to find the L C M using 624 and 936.

We have,

From the above common division we have,

L C M of the numbers 624 and 936 = 2 x 2 x 2 x 3 x 13 x 2 x 3 = 1872

Hence, L C M of the numbers 624 and 936 = 1872

Applications of Least Common Multiple ( L C M)

We shall now have a look at some applications of L C M in solving some practical problems.   Let us consider some examples.

Example 1 Determine the two numbers nearest to 10000 which are exactly divisible by each of 2, 3, 4, 5, 6 and 7.

Solution The smallest number which is exactly divisible by 2, 3, 4, 5, 6 and 7 is their L C M. but, we have to find two numbers nearest to 10000 which are exactly divisible by the given numbers i.e. 2, 3, 4, 5, 6 and 7. We can see that such numbers are multiples of the L C M of the given numbers. To find the L C M of 2, 3, 4, 5, 6 and 7 we have,

Therefore, the L C M of 2, 3, 4, 5, 6 and 7 is 420.

The number nearest to 10000 and exactly divisible by each of 2, 3, 4, 5, 6 and 7 should also be exactly divisible by their L C M i.e. 420. Let us now divide 10000 by 420. We find that the remainder is 340. 

Number just less than 10000 and exactly divisible by 420 

= 10000 – 340 = 9660.

Number just greater than 10000 and exactly divisible by 420 

= 10000 + ( 420 – 340 ) = 10080

Hence the two numbers nearest to 10000 which are exactly divisible by each of 2, 3, 4, 5, 6 and 79660 and 10080.

Example 2 Sam has a camera that allows 24 exposures whereas Peter has a camera that allows 36 exposures. Both of them want to be able to take the same number of photographs and complete their rolls of the film. How many rolls should each buy?

Solution We have been given that Sam has a camera that allows 24 exposures whereas Peter has a camera that allows 36 exposures. Both of them want to be able to take the same number of photographs and complete their rolls of the film.

Since the film in Sam’s camera can take 24 exposures and the film in Peter’s camera can take 36 exposures and both of them want to take the same number of photographs while completing the rolls of the film as well, therefore, the total number of exposures taken by each will be the L C M of 36 and 24. Hence, let us find the L C M of 36 and 24.

We have,

From above, we can see that the L C M of 36 and 24  = 2 x 2 x 3 x 3 x 2 = 72

  Hence, the number of rolls Sam should buy will be $\frac{72}{24}$  = 3

Similarly, the number of rolls Peter should buy will be $\frac{72}{36}$  = 2

Key Facts and Summary

1. A factor of a number is an exact divisor of that number.  
2. A multiple of a whole number is the product of the number and any counting number. 
3. If a number is a multiple of two or more numbers, it is called a common multiple of the numbers.
4. Every multiple of a number is greater than or equal to that number.
5. The smallest multiple of a number is the number itself.
6. The number of multiples of a given number is infinite.
7. All multiples of 2 are even numbers.
8. Those multiples which are common among the multiples of two or more numbers are known as common multiples of those numbers.
9. We cannot define the largest multiple of a number or a group of numbers but we can always list out the first multiple of a number.
10. The Least Common Multiple ( L C M ) of two or more numbers is defined as the smallest number ( other than zero ) that is a multiple of those numbers. 
11. There are two major methods using which we can find the L C M of two or more numbers – Least Common Method ( L C M ) and Common Division Method.
12. For finding the L C M using the Prime factorization method, we expand each number as a product of its prime factors. Then we find the product of all different prime factors with the highest power in the prime factorisation of each number.
13. For finding the L C M using the common division method we divide the numbers which are divisible by the number chosen in the above step and write the quotients just below them. Then we carry forward the numbers which are not divisible.

Multiplying One-Digit Whole Numbers by Multiples of 10 3rd Grade Math Worksheets
Factors and Multiples (Ages 8-10) Worksheets (Space themed)
Understanding Factors and Multiples 4th Grade Math Worksheets

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Theory of numbers. Divisors and multiples OTUS

The school provides basic knowledge of basic sciences. Mathematics plays a huge role. It is used not only in calculations, but also in programming.

This article deals with the theory of numbers. It is a kind of “base” that helps to consider mathematical actions and operations in more detail. Divisors of numbers play a special role in it. Knowing about them, you can quickly and accurately carry out most operations. An example is to count fractions and correctly highlight the shares. nine0003

Divisors of numbers are those values ​​that, when divided by which, the «original» numeric component will have no remainder. Is an integer without fail. Example — 21 has two divisors: 3 and 7. You can check this using the multiplication table, which is studied in elementary grades. There are no other components mentioned by 21. In other cases, when dividing, a remainder will be obtained.

Multiples

We got acquainted with the divisors of numbers. Now it is worth paying attention to one more point studied in the lower grades. It’s about multiples. nine0003

Short — this is a situation in which some value was divided without a remainder by another. A multiple of a is a value that is divisible by a without a remainder.

Each «number» in mathematics has an infinite number of multiples. Example — 5. This includes: 5, 10, 15, 20, 25, 100, 1005 and so on. All of them will be divisible by five without a remainder.

Primes and composites

In elementary grades, teachers say that there are primes and composites in mathematics. Here you need to remember:

1. A prime number is a natural number that is only divisible by itself and one.
2. The unit is not included in the simple series.
3. A composite number is a difficult element in mathematics. The unit is also not included. Has multiple dividers. More than two, according to the information provided in the primary grades.

If you are interested in how many divisors a given prime number has, the answer will be obvious — there are only two of them. And finding those is easy. This information is obvious from the definition itself. nine0003

Composite numbers can have an infinite number of divisors. It is impossible to answer exactly how much — it all depends on the specific situation. The main thing is that in the end there will be more than two of them.

In programming, finding a «simple number» is quite easy. The operation is easily done in O(N), where N is the element to be tested. It is enough to check whether it will be divided without a remainder by at least one element among the chain: 2, 3, 4, …, N-1. In school classes, relevant information is not studied. It will be useful to direct programmers. nine0003

Here is an implementation example. This code just needs to be processed by the compiler and look at the output. N — substitute your value.

Divisibility — signs

In different grades of elementary school (sometimes in the middle school) not only the divisors of a number, but also the signs of divisibility are actively considered. This information is also included in the theory under consideration. It helps to find the prime divisors of a given number much faster. And also — to understand whether it is simple or complex. Finding out the number of divisors that numbers have will be much easier. nine0003

For ten

If a “number” ends in 0, it can be divisible by 10 without a remainder. This is a rule to remember in lower grades. Typically, such elements are complex / composite. Teachers talk about this even in elementary grades. This is due to the fact that the “digit”, which is divisible by 10, can usually be divided:

• by itself;
• for ten;
• for five.

The validity of the last statement follows from the previously studied definitions. nine0003

Divisible by 5 and 2

Now it’s worth exploring more complex options. They are also considered in primary classes and allow you to understand how many divisors the «number» given in the example will have. Among the basic knowledge that needs to be mastered in elementary school, there are signs of divisibility into two and five.

Here, in elementary grades, you need to remember that:

1. Any «digit» that ends in 0 is divisible by 5 and 2 without a remainder.
2. If the end is 0 or 5, then division without remainders by «five» is possible. nine0022
3. When a «digit» ends with 0, 2, 4, 6, 8, it will be divided by 2. The remainder is not provided.

All this will help you find the divisor of a number faster in primary classes. But there are other signs of divisibility. They are also necessary to find the elements under consideration.

According to the established rules, if the sum of the digits in a given element is divisible by 3, then all of it is also divided without a remainder into a “three”. Example — 27. The sum of its components will be equal to 9. It is divisible by 3. It follows that 27, when divided by a «three», does not form a remainder. nine0003

Considering the divisors of a number, it is worth paying attention to one more sign of divisibility. We are talking about 9. If the sum of the digits in a given component is divisible by «nine», then all of it also does not form a remainder due to the mathematical manipulations performed. The corresponding principle is also studied in the lower grades.

Factoring

Factoring is another operation that is studied in the theory under consideration in elementary grades. You can decompose any natural number that is included in the given expression by it, but presented in a different form. To do this, you need to study the divisors of numbers. They will be useful in the corresponding operation. nine0003

The essence of the technique is that you need to represent the «number» as a product of several prime factors (divisors of given numbers). Example — given «six». Find the divisors of this number. A student of elementary grades will be able to cope with the corresponding task:

• 1;
• 2;
• 3;
• 6.

Now there will be no problems in searching for natural factors. And in the representation of the «numbers» by the corresponding entry — too. Six is ​​3*2 and 6*1. nine0003

It is worth paying attention — according to the rules dictated by mathematics in elementary grades, only a composite «number» can be factored. It will have a prime divisor of the natural given number. A simple given «figure» is not subject to decomposition.

This version of decomposition is elementary. It is easy to master even in elementary grades, after studying the multiplication table. Suitable for small numbers. When it comes to large values, you should use a different method:

1. Draw a vertical line.
2. Write dividends on the left.
3. Write the divisors of the given number on the right.
4. Collect the received information into multipliers.

The rules studied in elementary grades indicate that the signs of divisibility come to the rescue here.

Above is an example of the implementation of the reception with the number 180.

Rule for detecting divisors

0003

1. Write one as the first divisor.
2. Decompose the initial element into prime factors.
3. Write out from the corresponding divisors those into which the initially given «figure» is divisible without a remainder. If you repeat, you will not need to re-record it.
4. Find all the products of the obtained prime factors with each other.

The responses received are the rest of the required components. If this principle is learned in the lower grades of the school, it will be possible to quickly understand mathematics and counting. nine0003

Fractions

Closer to the middle grades, the school curriculum begins to offer fractions. There the topic will be especially relevant. The same number can be written as a decimal (15 — 3 * 5) and as a fraction.

Fractions have:

• numerator — what is written above the separator line;
• the denominator is the lower part of the record.

In order to bring fractions to a common denominator in any class without problems, you will need:

1. Find the common multiple of the denominators. This entry will be the common denominator. nine0022
2. Divide the common denominator by the denominator of each individual fraction. Get an extra multiplier.
3. Multiply the numerator of each fraction by an additional factor.

Only then can you add and subtract fractions. Relevant information will be useful in any class of school and even in adult life with a variety of calculations.

Do you want to master a modern IT-specialty? Otus has a huge selection of courses in popular IT areas! nine0152

what is it, how do they differ from each other, how to find, examples of solutions

What are divisors and multiples

Definition 1

Division is a mathematical operation that determines how many times one number is contained in another. The inverse operation is multiplication.

The following components are distinguished division :

• dividend;
• divider;
• private.

Definition 2

Dividend is a number that is divided into several parts.

The divisor is a number that shows how many parts the dividend should be divided into.

The quotient is the number that is the result of division.

a:b=c, where a is the dividend, b is the divisor, c is the quotient.

Multiplying quotient by divisor gives dividend .

To get divisor , you need divisible divided by private .

Divisible = quotient * divisor Divisor = dividend / quotient

Example 1

For example, you want to divide 16 tangerines equally between two children. For this 16:2=8. Thus, each child will receive 8 tangerines.

16 in this example is the dividend, 2 is the divisor, 8 is the quotient. Sixteen divided into two parts, eight in each. Or eight is contained in 16 twice. Or 2 is contained in 16 eight times. Division passed without remainder — whole . Then the number 2 is the divisor of the number 16.

Definition 3

The divisor of the number a is the number b by which a is divisible by .

Example 2

For example, 9:4=2 (remainder 5).

In example 9 — dividend, 4 — divisor, 2 — partial quotient, 5 — remainder.

The remainder of division is the number that is less than the divisor . Formed when dividing with a remainder. So, in the example 9:4 = 2 (remainder 5) — the number 4 is not a divisor of the number 9.

Exercise

Task: find such a pair of divisors of the number 144 if one of the divisors is 2.

Explanation:

Let the unknown divisor be x. To find another divisor, if any is known, we need to divide the number given to us by the known divisor.

Then we represent the solution of this problem in the form of an equation:

144:x=2;x=144:2;x=72.

72 is an integer, no remainder.

Check:

The product of divisors should result in 144:

72*2=144 is true, so 72 is the root of the equation and divisor 144.

Answer: the numbers 2 and 72 are divisors of 144.

Definition 4

, no remainder .

Example 3

For example, 15:3 whole.

15:3=5.

Then the number 15 is a multiple of 3.

They write: 15 is a multiple of 3.

The word « is a multiple of » is synonymous with the word « divisible by «. nine0003

The phrase «15 is a multiple of 3» can be mentally replaced by «15 is divisible by 3».

Note 1

15 is divisible by a multiple of 3.

Basic concepts and definitions

Definition 5

The divisor is the number times which the given number is divisible by by . The divisor is always less than or equal to the number.

Divisible = no remainder.

The smallest divisor of of any number is one .

Greatest divisor 9The number 0160 is the number itself is .

The divisor of zero will be any number, but 0 itself will not be a divisor.

When dividing zero by any number, we get 0. But you cannot divide by zero.

One has only one divisor — one.

Numbers other than 1 have at least two divisors.

Definition 6

A multiple of is the number that divides by the given number evenly. Always greater than or equal to a number.

The smallest multiple of is itself.

The greatest multiple of cannot be found in because the series of natural numbers is infinite. Any natural number has an infinite number of multiples.

Zero is a multiple of any number. Multiplying by zero always results in zero.

When one number is evenly divisible by another, then the first number is a multiple of the second, and the second is a divisor of the first.

Note 2

a:b=c where a is a multiple of b and b is a divisor of a. nine0003

How do they differ from each other, how to find

The divisor differs from the multiple of in that:

• the divisor is the number ON which divides the given number;
• multiple is a number that itself DIVIDES the given number.

To find the divisors of number , you need to factorize this number into factors .

Factorize — represent a number as a product of integers. nine0003

To check if one number is a divisor of another, we need to divide the number given to us.

To find a multiple of number of a given number, you need this number successively to multiply by natural numbers. Each number obtained will be a multiple — will be divisible — given.

Divisors and multiples are related. For example, the divisor of 15 is 3 and a multiple of 3 is 15.

Problem Solving Examples

Task 1

It is necessary to find the divisors of the number 14.

There are two ways to solve the task.

Method 1:

Divide 14 consecutively by natural numbers from 1 to 14. Remember that the divisor is always less than or equal to the given number.

14:1=14;14:2=7;14:3=4 (remainder 2);14:4=3 (remainder 2);14:5=2 (remainder 4);14:6=2 ( remainder 2);14:7=2;14:8=1 (remainder 6);14:9=1 (remainder 5);14:10=1 (remainder 4;)14:11=1 (remainder 3); 14:12=1 (remainder 2); 14:13=1 (remainder 1); 14:14=1. nine0003

We choose such numbers as a divisor, when dividing by which we not got the remainder: 1, 2, 7, 14.

Answer: divisors of the number 14: 1, 2, 7, 14.

Method 2:

Let’s represent 14 as a product of numbers:

14=14*1=2*7

Factors will be divisors, since we can divide 14 entirely by each of them.