An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2.
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A number is even when you can divide it by 2. Ex: 44/2=22 (even) 18436/2=8218 (even) 165/2=82.5 (odd)
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2.
If the factorization includes the number 2, it's even. If not, it's odd.
It's just one of those laws of maths. It can be used as an indication to whether the answer could be right. It's similar to even + even = even Even + odd = odd Odd + odd = even
The procedure is the same whether the number is even or odd. There is no separate procedure for odd numbers.