factor pair
Two whole numbers that are multiplied to get a product
A factor pair is a pair of two numbers that can be multiplied together to get a given number. For example, the factor pairs of 12 are (1, 12), (2, 6), and (3, 4), because these pairs of numbers when multiplied together give the number 12.
In general, if a positive integer n has at least one factor pair, then its smallest factor is 1 and its largest factor is n itself. Any factor pair (x, y) of n must have x and y as factors of n, and their product must equal n. It’s important to note that factor pairs can include multiples of the same number (as in the case of (2, 6) for 12 in the example above).
Factor pairs are often helpful in solving problems that involve finding the factors or divisors of a number, such as finding all the factors of a given number, determining whether a number is prime or composite, or simplifying fractions.
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