Even number

An even number is an integer that can be divided by two and remain an integer or has no not real remainder. For example, $16$ is an even number, because $16\div 2=8$, and $8$ 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 $n$ is an even number, we can write this as $2\mid n$, which means "$2$ divides $n$".

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, $-16$ is an even negative number. Also, $0$ is an even number, because $0\div 2=0$.

Related pages

• Odd number