Multiples of 5

Trigonometry

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Multiples of 5

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.

Get the Multiples of More Numbers Here

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Frequently Asked Questions on Multiples of 5 – FAQs

What are the multiples of 5 starting from 100?

The multiples of 5 starting from 100 are 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, etc.

What are the first 5 multiples of 5?

The first 5 multiples of 5 are 5, 10, 15, 20, and 25. These can be written as:
5 × 1 = 5
5 × 2 = 10
5 × 3 = 15
5 × 4 = 20
5 × 5 = 25

What do the multiples of 5 always end in?

A multiple of 5 always end in 0 or 5. In other words, if a number ends in 0 or 5, then that number is a multiple of 5.

What are the first five multiples of 15?

The first five multiples of 15 are 15, 30, 45, 60, and 75. These can be written as:
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 5 include 5, 10, 15, 20, 25, 30, 35, 40,….
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.