Well, it depends on if you are talking negative or positive.
Think of it this way:
-Negative = hate (H)
-Positive = love (L)
love to hate = hate
hate to love = hate
love to love = love
hate to hate= love
Get it?
* * * * *
All that is valid but totally irrelevant. The simple answer
is:
Yes, the product of two integers is always an integer.