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Is the product of any two integers an integer?
Yes, the product of 2 integers are always an integers. ex. -2*3=-6
What positive integer less than -6?
There are no positive integers less than any negative ones.
Do integers have to have an opposite or just be a positive or negative number?
An integer is just a whole number, excluding zero. Any positive integer will always have an opposite just by placing a negative sign in front of the positive integer. You can also say that any negative whole number is an integer.
What is the largest positive integer?
The set of positive integers is {1, 2, 3, 4, 5, ...}. Because the values approach positive infinity there is no largest positive integer. If you pick any positive integer, you can always create a larger one by simply adding 1 to it. So there can be no largest positive integer.
Is there a greatest positive integer?
No. The positive integers are {1, 2, 3, 4, 5, ...}. They start at 1 (which is the least positive integer) and progress forever (to infinity). There is no end to the positive integers, so there is no greatest positive integer. Another way to look at it might be to think of any really large integer (a "counting" or "whole" number) and add one. That will create a "next bigger" large number. You can continue to do this infinitely many times.
