# Numbers parity

Any number, except zero, multiplied twice, is an even number.

A pair has two elements.

## Demonstration:

One multiplied twice, result is a pair.

A pair has two elements.

Two multiplied twice, result is two pairs.

### Zero exception:

Zero multiplied twice, resulting zero pairs.

Zero pair has zero elements, therefore:

The number zero is neither odd nor even.

### Conclusion:

The smallest odd number is one.

The lowest even number is two.

The number zero is neither odd nor even.

## The classic definition:

necessary condition,

(NOT SUFFICIENT CONDITION,)

to determine whether a number is even,

to be divisible by two.

### Bibliography:

- Number Zero parity | GitBook
- Parity of zero - Wikipedia, the free encyclopedia
- 0 (number) - Wikipedia, the free encyclopedia
- Talk:Parity of zero - Wikipedia, the free encyclopedia
- Чётные и нечётные числа — Википедия
- 0 (число) — Википедия
- Number theory - How is named this property of zero parity? - Mathematics Stack Exchange

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