# Zero - Is it an even number?

1. Dec 10, 2006

### Harmony

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

2. Dec 10, 2006

### Hootenanny

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

3. Dec 10, 2006

### HallsofIvy

Staff Emeritus
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.

4. Dec 11, 2006

### cepheid

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

5. Dec 11, 2006

### HallsofIvy

Staff Emeritus
Yes. Probably a typo.

6. Dec 12, 2006

### Hootenanny

Staff Emeritus
Indeed, well spotted cepheid.