What is a Multiple? - How to find the Multiples of a Number (2023)

In mathematics, multiples is one of the important concepts which is used in many real life applications. As we know, the multiplication tables are the basis for finding the multiples of given numbers. In this article, you will learn what is a multiple in maths, how to find the multiples of a given number and examples of multiples in detail.

Table of Contents:

  • Multiple of a Number
  • Poperties
  • How to Find
  • Multiple of 2
  • Multiple of 3
  • Multiple of 4
  • Multiple of 5
  • Multiple of 6
  • Multiple of 8
  • Multiple of 10

What is a Multiple of a Number?

A multiple of a number is a number that is the product of a given number and some other natural number. For example, when we multiply 7 by 3, we get 21, i.e. 7 × 3 = 21. Here, 21 is the multiple of 7. Also, 7 and 3 are called the factors of 21.

(Video) Finding Multiples of a Number

Read more:

  • Factors and Multiples
  • Addition
  • Multiplication
  • Division

Properties of Multiples of a Number

Some of the important properties of multiples of a number are listed below.

(Video) What are multiples and how to find multiples of a number?

  • Every multiple of a number is greater than or equal to that number.
  • For example, 5, 10, 15, 20,…. are the multiples of 5. Here, we can observe that each of these multiples is greater than or equal to 5.
  • The number of multiples of a given number is infinite.
  • As we know, 9, 18, 27, 36, 45, 54,…. are the multiples of 9. However, this list of multiples is endless since we can multiply infinite integers to the given number.
  • Every number is a multiple of itself. For example, 7 is a multiple of 7 since the multiples of 7 include 7, 14, 21, 28, etc.
  • If Q is the multiple of P, then Q is exactly divisible by P. 32/8 = 4 such that 32 is a multiple of 8.
  • The above property is used to verify the multiples of a number.

How to Find the Multiple of a Number

If two values p and q are there, we say that q is a multiple of p if q = np for some integer n. Thus, multiples of a number can be obtained by multiplying the given number with some integer but not a fraction. Also, we can find the multiples for a given number using repeated addition of the number as many times as required. Some of the examples are shown below such as multiples of 2, 3, 4, 5, and so on.

What is a Multiple of 2

Multiple of 2 is the number obtained by multiplying 2 with integers such as 1, 2, 3, and so on. In other ways, we can find by repeatedly adding 2. Let’s have a look at the first 10 multiples of 2 in both of these methods.

Multiples of 2:-

Using multiplication

Using repeated addition

2 × 1 = 2

2 × 2 = 4

2 + 2 = 4

2 × 3 = 6

2 + 2 + 2 = 6

2 × 4 = 8

2 + 2 + 2 + 2 = 8

2 × 5 = 10

2 + 2 + 2 + 2 + 2 = 10

2 × 6 = 12

2 + 2 + 2 + 2 + 2 + 2 = 12

2 × 7 = 14

2 + 2 + 2 + 2 + 2 + 2 + 2 = 14

2 × 8 = 16

2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 16

2 × 9 = 18

2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 18

2 × 10 = 20

2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 20

What is a Multiple of 3

Multiple of 3 is the number obtained by multiplying 3 with integers such as 1, 2, 3, and so on. In other ways, we can find by repeatedly adding 3. Go through the table given below to get the first 10 multiples of 3 in both of these methods.

(Video) How to find Multiples and Factors #3

Multiples of 3:-

Using multiplication

Using repeated addition

3 × 1 = 3

3 × 2 = 6

3 + 3 = 6

3 × 3 = 9

3 + 3 + 3 = 9

3 × 4 = 12

3 + 3 + 3 + 3 = 12

3 × 5 = 15

3 + 3 + 3 + 3 + 3 = 15

3 × 6 = 18

3 + 3 + 3 + 3 + 3 + 3 = 18

3 × 7 = 21

3 + 3 + 3 + 3 + 3 + 3 + 3 = 21

3 × 8 = 24

3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 = 24

3 × 9 = 27

3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 = 27

3 × 10 = 30

3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 = 30

What is a Multiple of 4

The number obtained by multiplying 4 with integers such as 1, 2, 3, and so on is called the multiple of 4. In other ways, we can find by repeatedly adding 4. The below table contains the first 10 multiples of 4 in both of these methods.

Multiples of 4:-

Using multiplication

Using repeated addition

4 × 1 = 4

4 × 2 = 8

4 + 4 = 8

4 × 3 = 12

4 + 4 + 4 = 12

4 × 4 = 16

4 + 4 + 4 + 4 = 16

4 × 5 = 20

4 + 4 + 4 + 4 + 4 = 20

4 × 6 = 24

4 + 4 + 4 + 4 + 4 + 4 = 24

4 × 7 = 28

4 + 4 + 4 + 4 + 4 + 4 + 4 = 28

4 × 8 = 32

4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 32

4 × 9 = 36

4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 36

4 × 10 = 40

4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 40

What is a Multiple of 5

Multiple of 5 is the number obtained by multiplying 5 with numbers such as 1, 2, 3, and so on. In other ways, we can find by repeatedly adding 5. Go through the table given below to get the first 10 multiples of 5 in both of these methods.

(Video) Multiples | Mathematics Grade 4 | Periwinkle

Multiples of 5:-

Using multiplication

Using repeated addition

5 × 1 = 5

5 × 2 = 10

5 + 5 = 10

5 × 3 = 15

5 + 5 + 5 = 15

5 × 4 = 20

5 + 5 + 5 + 5 = 20

5 × 5 = 25

5 + 5 + 5 + 5 + 5 = 25

5 × 6 = 30

5 + 5 + 5 + 5 + 5 + 5 = 30

5 × 7 = 35

5 + 5 + 5 + 5 + 5 + 5 + 5 = 35

5 × 8 = 40

5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 = 40

5 × 9 = 45

5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 = 45

5 × 10 = 50

5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 = 50

What is a Multiple of 6

Multiple of 6 is the product obtained after multiplying 7 with some integers like 1, 2, 3, and so on. The below table shows the first 10 multiples of 6 using multiplication and repeated addition.

Multiples of 6:-

Using multiplication

Using repeated addition

6 × 1 = 6

6 × 2 = 12

6 + 6 = 12

6 × 3 = 18

6 + 6 + 6 = 18

6 × 4 = 24

6 + 6 + 6 + 6 = 24

6 × 5 = 30

6 + 6 + 6 + 6 + 6 = 30

6 × 6 = 36

6 + 6 + 6 + 6 + 6 + 6 = 36

6 × 7 = 42

6 + 6 + 6 + 6 + 6 + 6 + 6 = 42

6 × 8 = 48

6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 = 48

6 × 9 = 54

6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 = 54

6 × 10 = 60

6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 = 60

What are the Multiples of 8

The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96,…… These can be expressed using multiplication of 8 by other numbers like 1, 2, 3, and so on and also using repeated addition.

(Video) What are Multiples of a Number? How are Factors and Multiples related? | Don't Memorise

Multiples of 8:-

Using multiplication

Using repeated addition

8 × 1 = 8

8 × 2 = 16

8 + 8 = 16

8 × 3 = 24

8 + 8 + 8 = 24

8 × 4 = 32

8 + 8 + 8 + 8 = 32

8 × 5 = 40

8 + 8 + 8 + 8 + 8 = 40

8 × 6 = 48

8 + 8 + 8 + 8 + 8 + 8 = 48

8 × 7 = 56

8 + 8 + 8 + 8 + 8 + 8 + 8 = 56

8 × 8 = 64

8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = 64

8 × 9 = 72

8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = 72

8 × 10 = 80

8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = 80

What is a Multiple of 10

Finding the multiple of 10 is quite simple. Suppose, the fifth multiple of 10 can be obtained by getting the 5 times value of 10, i.e. 5 × 10 = 50. Similarly, the first 10 multiples of 10 can be expressed as:

Multiples of 10:-

Using multiplication

Using repeated addition

10 × 1 = 10

10 × 2 = 20

10 + 10 = 20

10 × 3 = 30

10 + 10 + 10 = 30

10 × 4 = 40

10 + 10 + 10 + 10 = 40

10 × 5 = 50

10 + 10 + 10 + 10 + 10 = 50

10 × 6 = 60

10 + 10 + 10 + 10 + 10 + 10 = 60

10 × 7 = 70

10 + 10 + 10 + 10 + 10 + 10 + 10 = 70

10 × 8 = 80

10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 = 80

10 × 9 = 90

10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 = 90

10 × 10 = 100

10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 = 100

FAQs

How do you calculate multiples? ›

A multiple is simply a ratio that is calculated by dividing the market or estimated value of an asset by a specific item on the financial statements.

What are multiples and how do you find them? ›

Multiples are unlimited, and can be found by simply skip counting. For example, the multiples of 30 are 30,60,90… and so on. However, the factors of 30 are limited. The factors of 30 are the numbers that multiply to 30, such as 1×30, 2×15, and 5×6.

How can you tell if 24 is a multiple of a given number? ›

In the given sequence of numbers, we can notice that the difference between any two consecutive numbers is always 24. Hence, we can say that those numbers are multiples of 24. We can also see that a negative number can also be a multiple of 24.

How do you explain multiples in math? ›

A multiple in math are the numbers you get when you multiply a certain number by an integer. For example, multiples of 5 are: 10, 15, 20, 25, 30…etc. Multiples of 7 are: 14, 21, 28, 35, 42, 49…etc.

How do you find multiples of 7? ›

Multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, … and so on. How do we get to know a number is multiple of another number? If a number is multiple of another number, then it is evenly divisible by the original number. For example, 14 divided by 7 is equal to 2, thus it is a multiple of 7.

How do you find multiples of 6? ›

We can arrange the multiples of 6 in increasing order, 0, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96,… so that they form a simple pattern increasing by 6 at each step. Because 6 is an even number, all its multiples are even.

What is the multiple of 24 and 36? ›

LCM of 24 and 36 is 72. In Maths, the LCM of any two numbers is the value which is evenly divisible by the given two numbers. Least common multiple of 24 and 36 is the smallest number we get among the common multiples.

What is the multiple of 81? ›

So, the first 10 multiples of 81 are: 81, 162, 243, 324, 405, 486, 567, 648, 729 and 810.

How do you find multiples of 15? ›

Multiples of 15 are 15, 30, 45, 60, 75, 90, 105. If a number can be divided or multiplied by 15, resulting in a whole number, we can say that that is a multiple of 15. The numbers that are n-times of 15 produced numbers that are multiples of 15, where n = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10… and so on.

What grade do kids learn multiplication? ›

Kids start learning multiplication in second grade, and division in third grade. These math concepts get more advanced as time goes on. Learning to multiply and divide is challenging for many kids.

What is the rule of multiples? ›

The multiple rule states that the derivative of any constant times any function is equal to the constant times the derivative of the function.

What is a simple definition of multiple? ›

The basic definition of multiple is manifold. In math, the meaning of a multiple is the product result of one number multiplied by another number.

What is a good definition for multiple? ›

adjective. consisting of, having, or involving several or many individuals, parts, elements, relations, etc.; manifold.

What is a multiple of 18? ›

The list of multiples of 18 are: 18,36,54,72,90,108,126,144,162,180,198,216,234,252,270,…. Sometimes multiples are misunderstood as factors also, which is not correct. Factors of 18 consist of only those numbers which are multiplied together to get the original number.

Is 35 a multiple of 6? ›

The multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, etc.

Is 35 a multiple of 5? ›

The multiples of 5 include 5, 10, 15, 20, 25, 30, 35, 40,….

What is the multiple of 17 after 13? ›

The multiples of 17 up to 1000 are: 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 272, 289, 306, 323, 340, 357, 374, 391, 408, 425, 442, 459, 476, 493, 510, 527, 544, 561, 578, 595, 612, 629, 646, 663, 680, 697, 714, 731, 748, 765, 782, 799, 816, 833, 850, 867, 884, 901, 918, 935, 952, 969, 986.

How do you find multiples of 12? ›

The multiples of 12 will be obtained by multiplying numbers such as 1, 2, 3, 4, 5, etc., by 12. Some of the multiples of 12 include 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, etc.

What are multiples of 42? ›

The first ten multiples of 42 are 42, 84, 126, 168, 210, 252, 294, 336, 378, 420.

What is a multiple of 24 and 42? ›

What is LCM of 24 and 42? The answer to this question is 168.

What are the multiples of 72 and 24? ›

The first three common multiples of 72 and 24 are 72, 144, and 216.

What are the multiples of 24 and 64? ›

LCM of 24 and 64 is the smallest number among all common multiples of 24 and 64. The first few multiples of 24 and 64 are (24, 48, 72, 96, . . . ) and (64, 128, 192, 256, 320, 384, . . . )

Is 54 a multiple of 9? ›

So, the multiples of 9 are : 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, …

What are multiples of 20? ›

Hence, the first five multiples of are: 20 , 40 , 60 , 80 and 100 .

What are the multiples of 54? ›

What are the multiples of 54 in Maths? The first ten multiples of 54 are 54, 108, 162, 216, 270, 324, 378, 432, 486 and 540.

What is the multiple of 21? ›

What are multiples of 21? The multiples of 21 are 21, 42, 63, 84, 105, 126, 147, 168, 189, 210, ….

What are multiples of 36? ›

Solution: The multiples of 36 are 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540, 576, 612, 648, 684, 720,…

What are multiples of 35? ›

What are the Multiples of 35? So, the first 10 multiples of 35 are: 35, 70, 105, 140, 175, 210, 245, 280, 315 and 350. There are an endless number of multiples of 35.

What is the rule for multiples of 4? ›

Divisibility Rule of 4

If the last two digits of a number are divisible by 4, then that number is a multiple of 4 and is divisible by 4 completely. Example: Take the number 2308. Consider the last two digits i.e. 08. As 08 is divisible by 4, the original number 2308 is also divisible by 4.

What is the easiest way to find multiples of 3? ›

To find the Multiples of 3, we have to multiply them with many numbers. We will start by multiplying it with 1 and will end by multiplying it with 10. This will give us the first 10 Multiples of 3. So, the first 10 Multiples of 3 from above come out to be 3, 6, 9, 12, 15, 18, 21, 24, 27, 30.

Is 32 a multiple of 8? ›

The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80… and so on.

Is 42 a multiple of 8? ›

42 divided by 8 is 5.25. In this case, the quotient is not a whole number, therefore, 42 is not a multiple of 8.

Is 24 a multiple of 3? ›

The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, …

Is 64 a multiple of 4? ›

multiple of 4: 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88,92,96. therefore, first three common multiples between 3 and 4 12,24,36.

What is the multiple of 9? ›

The first ten multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90. For the tens places, note that the number 9 can be thought of as 0 tens and 9 ones so the tens place has a 0.

What are common multiples Grade 4? ›

Multiples that are common to two numbers are known as common multiples of those numbers. Let us understand with the help of an example. 30 = 30, 60, 90, 120, 150, 180, 210, 240, 270….. 45 = 45, 90, 135, 190, 225, 270……….

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