What are the Multiples of 5?
When the number 5 is multiplied by any natural number, the result is known as a multiple of 5.
For example, if we multiply 5 by 3, the product is 15. As a result, 15 is a multiple of 5 and 3.
The multiples of 5 can be written as 5n, where n is a natural number, n = 1, 2, 3, 4, 5, 6, ….
The multiples of 5 will be 5, 10, 15, 20, 25, 30,…
Hence, we can conclude that any number that can be expressed as a product of 5 and a natural number is a multiple of 5.
For example, 140, 145, and 180 are multiples of 5 because we can get all these numbers by multiplying 5 with a natural number.
5 × 28 = 140 | 5 is multiplied by 28 to get 140 |
5 × 29 = 145 | 5 is multiplied by 29 to get 145 |
5 × 36 = 180 | 5 is multiplied by 36 to get 180 |
How can we find the Multiples by Repeated Addition?
Repeated addition is the process of adding the same number repeatedly.
If we want to find the first six multiples of 5, we can write it in the following way:
5 × 1 = 5 | 5 |
5 × 2 = 10 | 5 + 5 = 10 |
5 × 3 = 15 | 5 + 5 + 5 = 15 |
5 x 4 = 20 | 5 + 5 + 5 + 5 = 20 |
5 x 5 = 25 | 5 + 5 + 5 + 5 + 5 = 25 |
5 x 6 = 30 | 5 + 5 + 5 + 5 + 5 + 5 = 30 |
A List of the First 10 Multiples of 5
Multiplication | Multiples of 5 |
|---|---|
5 x 1 | 5 |
5 x 2 | 10 |
5 x 3 | 15 |
5 x 4 | 20 |
5 x 5 | 25 |
5 x 6 | 30 |
5 x 7 | 35 |
5 x 8 | 40 |
5 x 9 | 45 |
5 x 10 | 50 |
Solved Multiples of 5 Examples
Example 1: John, Tom, and Ray decided to buy jackets in the order of the first three multiples of 5. Can you make a list of how many jackets each of them bought?
Solution:
5 x 1 = 5
5 x 2 = 10
5 x 3 = 15
The first three multiples of 5 are 5, 10, and 15.
So, John bought 5 jackets, Tom bought 10 jackets, and Ray bought 15 jackets.
Example 2: Is 21 a multiple of 5?
Solution:
21 \(\div\) 5 = 4R1. 5 does not divide 21 exactly. Therefore, 5 is not a factor of 21. Hence, 21 is not a multiple of 5.
Example 3: How can we show that 60 is a multiple of 5?
Solution:
On dividing 60 by 5, we get:
\(\frac{60}{5}\) = 12R0
When 60 is divided by 5, the remainder is 0.
So, 60 is a multiple of 5.
A multiple is a product obtained by multiplying two numbers together.
Let us list the first 8 multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40. So, the 5th multiple of 5 is 25.
The smallest multiple of 5 is 5
There are infinite numbers. Hence, a number can have infinite multiples.
By multiplying 5 by 20, we can find the 20th multiple of 5. Therefore, 20 x 5 = 100. As a result, 100 is the 20th multiple of 5.