# Is zero even or odd? [duplicate]

I have been sitting here wondering if zero is even or odd and if it is even why is it even. I have no justification for why it is odd or even. Understanding that justification would be great.

It feels even, but no idea why.

## marked as duplicate by Eric Wofsey, Namaste, Antonios-Alexandros Robotis, Community♦Jun 28 '17 at 1:15

• is zero divisible by 2? – garserdt216 Jun 28 '17 at 1:07
• $n$ is even if $n=2k$ fo some integer $k$. $0=2*0$. So it is even. $n$ is odd if $n=2k+1$ for some integer $k$. If $0=2k+1$ then $k=-1/2$ and that isn't an integer. So $0$ is not odd. There is no mystery or special 0 subtlety. $0$ is simply even, which shouldn't be any more surprising than $4$ is even or $5$ is odd. Why the heck wouldn't 0 be even? – fleablood Jun 28 '17 at 5:37