# Multiples of 6

The multiples of 6 are obtained by multiplying integers with 6. In this section, we will learn about the multiples of 6. For more details about multiples, see our page “Multiples of a Number“.

#### What are Multiples of 6?

A number is called a multiple of 6 if it is completely divisible by 6 with the remainder zero.

For example, 6 divides 12 completely, so by the definition 12 is a multiple of 6. Similarly, 6, 12, 18, 24, 60, 600, etc. are all examples of multiples of 6 as they are completely divisible 6.

Remark: From the above definition, it is clear that any multiple of 6 can be written as 6n for some integer n. So the set of multiples is given by

{6n: n is an integer}

#### First 10 Multiples of 6

The first 10 multiples of 6 are as follows:

 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

So we have:

 The first 10 multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54 and 60.

Question: What are the first ten multiples of 6?

Video Solution:

#### First 20 Multiples of 6

The first 20 multiples of 6 are given below:

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

So we have:

 The first 20 multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114 and 120.

#### Properties of Multiples of 6

• Multiples of 6 are always even numbers.

• Multiples of 6 always end with either 0, 2, 4, 6 or 8.

• If a number ends with 1, 3, 5, 7 or 9 then the number is not a multiple of 6.