A whole number is even when it can be divided into two equal whole-number groups, or equivalently when division by 2 leaves remainder 0; it is odd when division by 2 leaves remainder 1. In base-ten notation, the ones digit identifies the classification (0, 2, 4, 6, or 8 for even and 1, 3, 5, 7, or 9 for odd), including that zero is even; formal parity rules for negative or nonwhole numbers are not included.
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A whole number is even if it can be divided into 2 equal groups with no leftovers. It is odd if dividing by 2 leaves 1 leftover.
A quick way to tell is to look at the ones digit:
Find the ones digit.
The ones digit in is .
Check the list.
is one of the even digits: .
Conclude.
Therefore, .
We can check by dividing:
There is no remainder, so is even. Remember, is also an even number because leaves a remainder of .
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