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Why is 0 an even number?

Updated: 9/16/2023
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Wiki User

13y ago

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We need to refer to the mathematical definition of the word "even."

The most commonly accepted definition is that a number "a" is even if there exists an integer "n" which makes the following statement true:

a = 2 x n

0 is an integer. So let n = 0 in the above equation and we get:

0 = 2 x 0

So 0 satisfies the mathematical definition for being even.

Please refer to the article in the "related links" section for a discussion about the misconceptions about zero and why people mistakenly think it is not an even number.

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13y ago
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Wiki User

9y ago

All even numbers leave a remainder of 0 when they are divided by 2. The number 0 does so and so is an even number.

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Q: Why is 0 an even number?
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