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.

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.

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

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