Unless you specify a range, numbers keep on going. Theoretically, infinity has an infinite number of factor pairs.
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Number of factor pairs = number of rectangles
Yes. Factor pairs are always repeated across pairs since factor pairs are certain kinds of pairs.
The factor pairs of 27 are 1x27 and 3x9.
The factor pairs of 14 are 1*14, and 2*7
1x40, 2x20, 4x10, 5x8 are all the factor pairs of 40.