# Arithmetic » Divisor, divisible and multiple

## Divisor and divisible

A number is divisible by another number when the result of the division of those two numbers is a whole number. The number by which you divide is then a divisor of the number that is divided.

Example
36 : 3 = 12
Because the outcome is a whole number, 36 is divisible by 3.
The number 3 is a divisor of 36.

All the divisors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36.

### What about the numbers 0 and 1?

The division 0 : 3 = 0 gives a whole number as a result.
Therefore 0 is divisible by 3.
The number 3 is therefore also a divisor of 0.
What we do with 3 here, we can do with every whole number.
So every whole number (including 0) is a divisor of 0.

The number 1 is only divisible by 1.
The number 1 therefore has only one divisor: the number 1.

### Prime numbers

Prime numbers are numbers with only two divisors.
Namely the number 1 and the number itself.
The first ten prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.