A number ending in zero is always even
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"For mathematicians the answer is easy: zero is an even number. ... Because any number that can be divided by two to create another whole number is even. Zero passes this test because if you halve zero you get zero."
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The standard definition of "even number" can be used to directly prove that zero is even. A number is called "even" if it is an integer multiple of 2. As an example, the reason that 10 is even is that it equals 5 × 2. In the same way, zero is an integer multiple of 2, namely 0 × 2, so zero is even.
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