# Even number

integer divisible by two

An even number is an integer that can be divided by two and remain an integer or has no remainder. For example, ${\displaystyle 16}$ is an even number, because ${\displaystyle 16\div 2=8}$, and ${\displaystyle 8}$ is an integer.

## Definition

If an even number is divided by two, the result is another integer. Another way to say this is that even numbers are divisible by two. If ${\displaystyle n}$  is an even number, we can write this as ${\displaystyle 2\mid n}$ , which means "${\displaystyle 2}$  divides ${\displaystyle n}$ ".

An integer that is not an even number is an odd number. The quality of being odd or even is called the parity of a number.

Since even numbers are integers, negative numbers can be even. For example, ${\displaystyle -16}$  is an even negative number. Also, ${\displaystyle 0}$  is an even number, because ${\displaystyle 0\div 2=0}$ .