An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. 2 is always even.
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The product of two odd numbers is always odd.
The sum of two odd numbers is always even.
Multiply two odd numbers Add an even and an odd Subtract an odd and an even
The sum of two odd numbers is always even.
If you're adding an odd number of numbers, if two are even and one is odd, you will get an odd number as a result. Three odds are odd. If two are odd and one is even, you have an even result. Three evens are even.