The multiples of 5 are the numbers that are generated when 5 is multiplied by any natural number. That means any number that can be expressed in the form of 5n where n is an integer is a multiple of 5. As we know, if two values, p and q, are there, we say that q is a multiple of p if q = np for some integer n.
Some of the multiples of 5 include the following.
5, 10, 15, 20, 25, ….., 50, 55, 60,….., 120, 125,…..
All numbers which can be divided or are a product of 5 are multiples of 5. Although the factors of 5 are the numbers that, when multiplied together, gives the original number. Hence, there is a difference between factors and multiples.
What are the multiples of 5?
As per the definition given above, the multiple of 5 is a number obtained by multiplying some integer with 5.
For example, 10, 20, 25 and 55 are all multiples of 5 for the following reasons.
| 5 × 2 = 10 | 5 multiplied by 2 to get 10 |
| 5 × 4 = 20 | 5 multiplied by 4 to get 20 |
| 5 × 5 = 25 | 5 multiplied by 5 to get 25 |
| 5 × 11 = 55 | 5 multiplied by 11 to get 55 |
How to find multiples of 5?
We can also obtain multiples through the repeated addition of a number as many times as required. For example, the first five multiples of 5 can be written as:
5 × 1 = 5
5 × 2 = 10 or 5 + 5 = 8 {here 5 is added for twice}
5 × 3 = 15 or 5 + 5 + 5 = 15 {here 5 is added for thrice}
5 × 4 = 20 or 5 + 5 + 5 + 5 = 20
5 × 5 = 25 or 5 + 5 + 5 + 5 + 5 = 25
In the same way, we write several multiples of the given numbers.
If we have to verify that any number is a multiple of 5 or not, then we need to divide that number by 5. If there is any remainder left, then that number is not a multiple of 5. Let us see some examples here:
- 10 ÷ 5 = 2 (Multiple)
- 12 ÷ 5 = 2 and remainder is 2 (Not a multiple)
- 45 ÷ 5 = 9 (Multiple)
- 54 ÷ 5 = 10 and remainder is 4 (Not a multiple)
Chart of Multiples of 5 up to 20 times
The below table contains the first 20 multiples of 5 along with the multiplication notation in each case.
| Multiplication of 5 with numbers | Multiples of 5 |
| 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 |
From the above table, we can say that the multiples of the number 5 are the results in the multiplication table of 5, as both are the same.
Some interesting facts about multiples of a number are listed below:
- Every multiple of a number is greater than or equal to that number.
- The number of multiples of a given number is infinite.
- Every number is a multiple of itself.
Video Lesson on Common Multiples
Get the Multiples of More Numbers Here
| Multiples of 2 | Multiples of 3 | Multiples of 4 |
| Multiples of 6 | Multiples of 7 | Multiples of 8 |
| Multiples of 9 | Multiples of 12 | Multiples of 15 |
To get more articles related to multiples and common multiples, visit byjus.com today!
Frequently Asked Questions on Multiples of 5 – FAQs
What are the multiples of 5 starting from 100?
What are the first 5 multiples of 5?
5 × 1 = 5
5 × 2 = 10
5 × 3 = 15
5 × 4 = 20
5 × 5 = 25
What do the multiples of 5 always end in?
What are the first five multiples of 15?
15 × 1 = 15
15 × 2 = 30
15 × 3 = 45
15 × 4 = 60
15 × 5 = 75
What are the common multiples of 5 and 10?
The multiples of 10 include 10, 20, 30, 40, 50, 60,….
Thus, the common multiples of 5 and 10 are 10, 20, 30, 40,….
That means all the multiples of 10 will be the common multiples for 5 and 10.
Comments