# Multiples of 5

The multiples of 5 are obtained by multiplying integers with 5. In this section, we will learn about the multiples of 5. For more details about multiples, see our page “Multiples of a Number“.

#### What are Multiples of 5?

A number is called a multiple of 5 if it is completely divisible by 5 with the remainder zero.

For example, 5 divides 10 completely, so by the definition 10 is a multiple of 5. Similarly, 5, 10, 15, 20, 50, 500, etc. are all examples of multiples of 5 as they are completely divisible 5.

Remark: From the above definition, it is clear that any multiple of 5 can be written as 5n for some integer n. So the set of multiples of 5 is given by

{5n: n is an integer}.

Note that the above set is the set of multiples of 5 in set builder form.

#### First 10 Multiples of 5

The first 10 multiples of 5 are as follows:

 5×1=5 5×2=10 5×3=15 5×4=20 5×5=25 5×6=30 5×7=35 5×8=40 5×9=45 5×10=50

So we have:

 The first 10 multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45 and 50.

Question: What are the first ten multiples of 5?

Video Solution:

#### First 20 Multiples of 5

The first 20 multiples of 5 are given below:

5×1=5           5×2=10

5×3=15         5×4=20

5×5=25         5×6=30

5×7=35         5×8=40

5×9=45         5×10=50

5×11=55       5×12=60

5×13=65       5×14=70

5×15=75       5×16=80

5×17=85       5×18=90

5×19=95       5×20=100

So we have:

 The first 20 multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95 and 100.

#### Properties of Multiples of 5

• Multiples of 5 always end with either 0 or 5.

• If a number ends with 0 or 5 then the number is a multiple of 5.

• If a number ends with either 1, 2, 3, 4, 6, 7, 8 or 9, then the number cannot be a multiple of 5.