Is zero even, or odd? Or is it both? Believe it or not, there is a right answer to this question: Zero is even — and only even.

## Is 0 Even?

An even number in mathematics is a number that can be written as `n=2⋅k`

for a whole number `k`

. If `k=0`

, the equation `0=2⋅k`

remains accurate. This makes zero an even number.

To understand how we come to this conclusion, we first need to define what “even” means.

## Why Is Zero Even?

An even number is a number `n`

which can be written as `n=2⋅k`

for a whole number `k`

. That means if we divide an even number by two, there is no remainder left.

Can we write `0=2⋅k`

for some `k`

? Yep, we can if we choose `k=0`

.

That means that zero is even.

## Is Zero Also Odd?

Again, we first need to define what “odd” means. The common definition is very similar to the definition of even.

An odd number is a number n which can be written as `n=2⋅k+1`

for a whole number `k`

.

Can we write `0=2⋅k+1`

for some whole number k?** **Nope. We can’t because solving this equation for `k`

yields `k=-1/2`

, which is not a whole number.

## Frequently Asked Questions

### Is zero an even or odd?

Zero is an even number because it is an integer and a multiple of two.

### Why is zero a number?

Zero is a number because it is categorized as an integer, and integers are classified as real numbers.

### Is 0 the smallest even number?

Zero is the smallest even number because it can be divided by 2, with the result still being an integer.