# Multiples of 3

The multiples of 3 are obtained by multiplying integers with 3. In this section, we will learn about the multiples of 3. For more details about multiples, see our page “Multiples of a Number“.

#### What are Multiples of 3?

A number is called a multiple of 3 if it is completely divisible by 3 with the remainder zero.

For example, 3 divides 9 completely, so by the definition 9 is a multiple of 3. Similarly, 9, 12, 15, 18, 30, 300, etc. are all examples of multiples of 3 as they are completely divisible 3.

Remark: From the above definition, it is clear that any multiple of 3 can be written as 3n for some integer n. So the set of multiples is given by

{3n: n is an integer}

#### First 10 Multiples of 3

The first 10 multiples of 3 are as follows:

 3×1=3 3×2=6 3×3=9 3×4=12 3×5=15 3×6=18 3×7=21 3×8=24 3×9=27 3×10=30

So we have:

 The first 10 multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27 and 30.

Question: What are the first ten multiples of 3?

Video Solution:

#### First 20 Multiples of 3

The first 20 multiples of 3 are given below:

3×1=3           3×2=6

3×3=9           3×4=12

3×5=15         3×6=18

3×7=21         3×8=24

3×9=27         3×10=30

3×11=33       3×12=36

3×13=39       3×14=42

3×15=45       3×16=48

3×17=51       3×18=54

3×19=57       3×20=60

So we have:

 The first 20 multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57 and 60.

#### Properties of Multiples of 3

• Multiples of 3 can end with either 0, 1, 2, 3, 4, 5, 6, 7, 8 or 9.