Question

If A is an odd integer and B is an odd integer, is A*B sometimes, always, or never odd? Explain

Answer 1

Always

Explanation:

In order for an integer to be even, one of the factors must be 2. Otherwise, it is odd.

If A is an odd number, it does not have a factor of 2.

If B is an odd number, it also does not have a factor of 2.

Therefore, AB also does not have a factor of 2, so it is always odd.