# Multiples of a number

## How to find the multiples of a number?

Simply multiply this number by 1, 2, 3, 4, 5, etc.

Example: the multiples of 3 are: 3x1, 3x2, 3x3, 3x4, etc, these are equal to,

3, 6, 9, 12, 15, 18, 21, etc

The list of multiples of a number is infinite (we can't list all of them!).

## Easily identify multiples of 2, 3, 5...

- A multiple of 2 always ends with an even digit: 0, 2, 4, 6 or 8.

- A mutliple of 3: the sum of its digits is a multiple of 3.

- A multiple of 4: its last 2 digits form a number which is a multiple of 4.

- A multiple of 5: always ends with 0 or 5.

- A mutliple of 9: the sum of its digits is a multiple of 9.

- A multiple of 10: always ends with 0.

## Special cases

- A number is always multiple of itself.

- 0 is a multiple of all numbers (0 = 0 x n).

## Programming

### Python

This python program finds the first c multiples of a given integer n.

```
def multiples(n, c):
m = []
for i in range (c):
m.append((i+1) *n)
return m
```