# Odd and Even numbers

**Topic promise:** This topic will acclimatise you to positive and negative numbers.

**Topic duration:** 9 minutes

Evens: Integers that are divisible by 2

Odds: Integers that are not divisible by 2

Evens and odds are defined only for integers.

Even and odds are defined for positives as well as negatives

… -4, -2, 0, 2, 4, … are even integers

… -3, -1, 1, 3, … are odd integers

**Note: 0 is an even integer**

0/2 = 0. On dividing 0 by 2, the result is an integer (0) therefore 0 is an even integer.

- even + even = even
- even – even = even
- even x even = even
- even / even = anything (even, odd, or not an integer)

- even + odd = odd
- even – odd = odd
- even x odd = odd
- even / odd = even or not an integer

- odd + odd = even
- odd – odd = even
- odd x odd = odd
- odd / odd = odd or not an integer

- odd/ even = not an integer

## GMAT Integer Properties - Odd Even Practice

The power of a number does not change the even-odd nature of the number.

(Even)^{n} = Even

(Odd)^{n} = Odd