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It is 8x8 so 64 squares. BUT.. you might look at two square as a rectangle and 3 squares etc. However, if you are just talking about the individual square the answer is 64
There are infinitely many such rectangles.
if x is the prime number, there will be an infinite number of rectangles of dimension (1*x)
There are 64 squares on a chessboard.
As I understand it, the number of factor pairs is equal to the number of rectangles.