the theorem that an integer can be written as the sum of the product of two integers, one a given positive integer, added to a positive integer smaller than the given positive integer. Compare Euclidean algorithm.
Mathematics. the product of a given positive integer multiplied by all lesser positive integers: The quantity four factorial (4!) = 4 ⋅ 3 ⋅ 2 ⋅ 1 = 24. Symbol: n!, where n is the given integer.