Yes. Odd times odd is odd. Odd times even is even. Even times even is even.
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No. In fact, you NEVER get an odd number.
Yes, an even number plus an even number is always even. Also, and odd number plus an odd number is always even.
Two odd numbers always sum to an even number. Always. Two even numbers always sum to an even number, and an odd number and an even number always sum to an odd number.
Yes, because the number of sides of a pyramid is equal to the bottom face's number of edges times 2. Any number multiplied by two except zero is even.
The square of an even number is always even.