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Is zero is an odd number or even?

Updated: 4/28/2022
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In mathematics (number theory specifically), the definition of an even number is as follows:

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

Put in more simple language, a number is even if you can divide it by 2 and get a remainder of 0.

So, is 0 even? Let's see if the conditions of the definition are satisfied:

Is zero an integer? Yes.

Does there exist an integer m such that 0 = 2m. Yes. That integer is 0.

Alternatively, let's look at the simplified definition:

Can you divide 0 by 2? Yes, the answer is 0.

Is the remainder 0? Yes.

By any mathematical definition, 0 is even.

Please do not confuse the fact that 0 is even with the fact that 0 is neither positive nor negative. The two are unrelated. The definition of "evenness" does not require a number to be positive or negative. And, yes, to a mathematician zero is a number and an integer.

Please take a moment and read the article in the "Related Links" section called "The Evenness of Zero."

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Q: Is zero is an odd number or even?
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Is zero a even number?

No. Zero is neither an odd or an even number.


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