# What are the multiples of 5?

## What are the multiples of 5?

We know that *multiples* are the result we get when we multiply two numbers. In other words – *a multiple is a product of two numbers. *You can also remember that word ‘multiple’ means the multiplication of two numbers.

The multiples of 5 are the values that we get by multiplying any number to the number 5.

Let us start by identifying the first 10 multiples of 5

The first 10 multiples of 5 | |
---|---|

5 x 1 = 5 | 5 x 6 = 30 |

5 x 2 = 10 | 5 x 7 = 35 |

5 x 3 = 15 | 5 x 8 = 40 |

5 x 4 = 20 | 5 x 9 = 45 |

5 x 5 = 25 | 5 x 10 = 50 |

## Remember

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

We can write any number of multiples for 5 similarly.

**How to identify the multiple of 5?**

Let us take the first 10 multiples we found out earlier.

Ever wondered why the multiplication table of 5 is very easy to remember?

It is because the one’s digit in all the multiples alternates between 0 and 5. Did you notice the first multiple is 5, the third multiple is 15, the fifth multiple is 25, and so on?

Similarly, the second multiple is 10, the fourth multiple is 20, the sixth multiple is 30, and so on.

So all the multiples that we get by multiplying the odd numbers have 5 in the one’s place and the multiples we get by multiplying the even numbers have 0 in the one’s place.

## Test of Divisibility of 5

### What are tests of divisibility?

The test of divisibility is the easy way to identify whether a number is divisible by a given number. This is done without actually dividing the numbers.

The test of divisibility helps to find the factors of a number without actually dividing them.

The test of divisibility of 5 is that the given number should have either 0 or 5 in the one’s place.

That is if a number has 0 or 5 in one’s place, the given number is divisible by 5.

**Question 1 (SOLVED):****Find the numbers that are divisible by 5.**

1587, 2500, 75,2685, 4971

Solution:

- Observe the value in the one’s digit in each of the given numbers.
- Pick the numbers that have either 0 or 5 in the one’s place. Here they would be 2500, 75, 2685.
- These are the numbers that are divisible by 5.

The test of divisibility helps to find even if a very large number is divisible by 5 or not.

Yes, because we know that all the multiples of 5 have 0 or 5 in the one’s place, this number is divisible by 5 since there is 0 in the one’s place.

### Important points about multiples

- The number 5 becomes the first and the least multiple of itself.
- 5 is the only prime multiple of 5.
- 5 is also the least common multiple of its any other multiples.

The least common multiple of two numbers is the smallest number that will divide both the given numbers.

If we take two multiples of 5, say, 30 and 55. The least value that can divide both 30 and 55 is 5.