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“.
Also Read: Factors of 5
Table of Contents
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:
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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:
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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.
This article is written by Dr. T. Mandal, Ph.D in Mathematics. On Mathstoon.com you will find Maths from very basic level to advanced level. Thanks for visiting.