askvity

Is zero even or odd or neither?

Published in Number Theory 1 min read

Zero is an even number.

Understanding Parity of Zero

The parity of a number refers to whether it is even or odd. According to Wikipedia's article on the "Parity of zero" (Parity of zero - Wikipedia en.wikipedia.org › wiki › Parity_of_zero), in mathematics, zero is considered an even number.

Why is Zero Even?

The definition of an even number is that it is an integer multiple of 2. Zero fits this definition because:

0 = 0 × 2

Therefore, zero satisfies the condition for being an even number.

Even vs. Odd: Key Differences

Feature Even Number Odd Number
Definition Integer multiple of 2 Not an integer multiple of 2
Divisibility by 2 Divisible without remainder Divisible with remainder of 1
Examples -2, 0, 2, 4, 6,... -3, -1, 1, 3, 5,...

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