Multiples of 6

Multiples are the numbers that give products of any number multiplied by other natural numbers. We know that 6 is a factor of 6, and also 6 is a multiple of 6. However, there is a difference between factors and multiples, which you can learn here. 

The multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, etc. It is a sequence where the difference between each next number and the preceding number, i.e. two consecutive multiples or products, is 6.

What are Multiples of 6?

The multiples for 6 are the numbers that are generated when 6 is multiplied by any natural number, such as 1, 2, 3, 4, 5, 6, 7, etc. That means any number that can be expressed in the form of 6n where n is an integer is a multiple of 6. As we know, if two values, p and q, are there, we say that q is a multiple of p if q = np for some integer n.

Some of the multiples of 6 include the following.

6, 12, 18,…., 54, 60,…, 90, 96,…

As per the definition given above, the multiple of 6 is obtained by multiplying some integer with 6.

For example, 48, 66, 102, and 126 are all multiples of 6 for the following reasons.

6 × 8 = 48 6 multiplied by 8 to get 48
6 × 11 = 66 6 multiplied by 11 to get 66
6 × 17 = 102 6 multiplied by 17 to get 102
6 × 21 = 126 6 multiplied by 21 to get 126

We can also find the multiples through the repeated addition of a number as many times as required. For example, to get the first five multiples of 6, we have to multiply 6 by 1, 2, 3, 4 and 5 or add the number of times as shown below:

The first multiple of 6 is: 6 × 1 = 6

The second multiple of 6 is: 6 × 2 = 12 Or 6 + 6 = 12 {here 6 is added for twice}

The third multiple of 6 is: 6 × 3 = 18 Or 6 + 6 + 6 = 18 {here 6 is added for thrice}

The fourth multiple of 6 is: 6 × 4 = 24 Or 6 + 6 + 6 + 6 = 24

The fifth multiple of 6 is: 6 × 5 = 30 Or 6 + 6 + 6 + 6 + 6 = 30

Similarly, we write several multiples of the given numbers.

Multiples of 6 Table

The below table contains the first 20 multiples of 6 along with the multiplication notation in each case.

Multiplication of 6 with numbers Multiples of 6
6 × 1 6
6 × 2  12
6 × 3 18
6 × 4 24
6 × 5 30
6 × 6 36
6 × 7 42
6 × 8 48
6 × 9 54
6 × 10 60
6 × 11 66
6 × 12 72
6 × 13 78
6 × 14 84
6 × 15 90
6 × 16 96
6 × 17 102
6 × 18  108
6 × 19 114
6 × 20 120

From the above table, we can say that the multiples of the number 6 are the results in the multiplication table of 6, as both are the same.

What are the multiples and factors of 6?

As we already discussed, multiples are the n-times of any given number. But factors are the numbers that when multiplied together, produce the original number.

The multiples of any number could get extended till any number of times, but the factors are fixed for any numbers.

The multiples of 6 are 6, 12, 18, 24, 30, etc., and the factors of 6 are 1, 2, 3, and 6.

How many multiples of 6 are there?

We know that the natural numbers or positive integers are not finite and hence, there are infinite multiples for any number. Similarly, there exist an infinite number of multiple of 6, such as:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72,……

Multiples of 6 up to 100

The list of multiples of 6 up to are given below.

{6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96}

Video Lesson on Common Multiples

Get the Multiples of More Numbers Here

Multiples of 2 Multiples of 3 Multiples of 4
Multiples of 5 Multiples of 7 Multiples of 8
Multiples of 9 Multiples of 12 Multiples of 15

To get more articles related to multiples and common multiples, visit byjus.com today! Also, get interactive videos on all math concepts by downloading BYJU’S – The Learning App.

Frequently Asked Questions on Multiples of 6 – FAQs

Q1

What are the multiples of 6?

The multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, etc.
Q2

Is 6 a multiple or a factor or 6?

6 is both multiple and factor of 6. 6 is the smallest multiple of 6 and the largest factor of 6.
Q3

How do you find multiples of 6?

The multiples for 6 are the numbers that are obtained when 6 is multiplied by any natural number, such as 1, 2, 3, 4, 5, 6, 7, etc.
Q4

What are the first 8 multiples of 6?

The first 8 multiples of 6 are 6, 12, 18, 24, 30, 36, 42, and 48. These can be expressed as:
6 × 1 = 6
6 × 2 = 12
6 × 3 = 18
6 × 4 = 24
6 × 5 = 30
6 × 6 = 36
6 × 7 = 42
6 × 8 = 48
Q5

Are multiples of 3 always multiples of 6?

No, not all the multiples 3 are multiple of 6. Only a few multiples of 3 will be the multiples for 6. In contrast, all the multiples of 6 are the multiples for 3 since 3 is a factor of 6.
Quiz on Multiples of 6

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