Concept

Factor Pair

A factor pair of a number is a pair of two integers that result in the given number when multiplied together. The factor pairs of 30 are examined below as an example.

Factor Pairs

The factor pairs of 30 are (1,30), (2,15), (3,10), (5,6), (-1,-30), (-2,-15), (-3,-10), and (-5,-6). The following table shows some examples of numbers and their factor pairs.

Number Factor Pairs
12 (1,12), (2,6), (3,4), (- 1,- 12), (- 2,- 6),(- 3,- 4)
8 (1,8), (2,4), (-1,-8), (-2,-4)
7 (1,7), (-1,-7)
3 (1,3), (-1,-3)

Note that a prime number has exactly two factor pairs.

Exercises
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