# Multiples of 9

The multiples of 9 are obtained by multiplying integers with 9. In this section, we will learn about the multiples of 9. For more details about multiples, see our page “Multiples of a Number“.

#### What are Multiples of 9?

A number is called a multiple of 9 if it is completely divisible by 9 with the remainder zero.

For example, 9 divides 18 completely, so by the definition 18 is a multiple of 9. Similarly, 9, 18, 27, 36, 90, 900, etc. are all examples of multiples of 9 as they are completely divisible 9.

Remark: From the above definition, it is clear that any multiple of 9 can be written as 9n for some integer n. So the set of multiples is given by

{9n: n is an integer}

#### First 10 Multiples of 9

The first 10 multiples of 9 are as follows:

 9×1=9 9×2=18 9×3=27 9×4=36 9×5=45 9×6=54 9×7=63 9×8=72 9×9=81 9×10=90

So we have:

 The first 10 multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72, 81 and 90.

Question: What are the first ten multiples of 9?

Video Solution:

#### First 20 Multiples of 9

The first 20 multiples of 9 are given below:

9×1=9           9×2=18

9×3=27         9×4=36

9×5=45         9×6=54

9×7=63         9×8=72

9×9=81         9×10=90

9×11=99       9×12=108

9×13=117     9×14=126

9×15=135     9×16=144

9×17=153     9×18=162

9×19=171     9×20=180

So we have:

 The first 20 multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171 and 180.