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Why is zero even?

Updated: 11/2/2022
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12y ago

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The mathematical definition of an even number is

An integer n is even if there exists and integer m such that n = 2m.

Is zero an integer? Yes.

Does there exist an integer m such that 0 = 2m. Yes. Let m = 0 and 0 = 2 x 0.

Additionally, additive rules state that

even + even = even

odd + odd = even.

Under these rules, zero can be even, but cannot be odd.

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12y ago
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11y ago

An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. 0 is an even number.

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Q: Why is zero even?
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