Your answer will always be even
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Every odd number. Multiplying two even numbers gives an even number. Multiplying an odd and an even number gives an even number. Multiplying two odd numbers gives an odd number.
Yes
You can tell it will be even when the number you are multiplying has a 2 4 6 8. You can tell it will be odd when the number you are multiplying has a 1 3 5 7.
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Even minus odd is odd.
If there is an even number of minus signs, the answer is positive; if there is an odd number of minus signs, the answer is negative.