Is zero an even number?

[Harmony]

I was wondering if zero is an even number, or it depends on situation?

 

[Hootenanny]

Even numbers(n) are often defined by the equation $n=2k\;\;\;\; n\in\mathbb{Z}$. So, yes, zero is an even number.

 

[HallsofIvy]

Conversely, an even number is one that is evenly divisible by 2: there is no remainder. Since 0/2= 0, yes, 0 is an even number.

 

[cepheid]

Even numbers(n) are often defined by the equation $n=2k\;\;\;\; n\in\mathbb{Z}$. So, yes, zero is an even number.

Shouldn't it be $k \in \mathbb{Z}$ ?

 

[HallsofIvy]

Yes. Probably a typo.

 

[Hootenanny]

Indeed, well spotted cepheid.