1. the product of all the integers up to and including a given integer;

- Example: "1, 2, 6, 24, and 120 are factorials"

1. of or relating to factorials;

The Collaborative International Dictionary of English v.0.48:

Factorial \Fac*to"ri*al\, a. 1. Of or pertaining to a factory. --Buchanan. [1913 Webster] 2. (Math.) Related to factorials. [1913 Webster]The Collaborative International Dictionary of English v.0.48:

Factorial \Fac*to"ri*al\, n. (Math.) (a) pl. A name given to the factors of a continued product when the former are derivable from one and the same function F(x) by successively imparting a constant increment or decrement h to the independent variable. Thus the product F(x).F(x + h).F(x + 2h) . . . F[x + (n-1)h] is called a factorial term, and its several factors take the name of factorials. --Brande & C. (b) The product of the consecutive whole numbers from unity up to any given number; thus, 5 factorial is the product of 5 times four times three times two times one, or 120. [1913 Webster +PJC]WordNet (r) 3.0 (2006):

factorial adj 1: of or relating to factorials n 1: the product of all the integers up to and including a given integer; "1, 2, 6, 24, and 120 are factorials"The Free On-line Dictionary of Computing (30 December 2018):

factorialThe mathematical function that takes a natural number, N, and returns the product of N and all smaller positive integers. This is written N! = N * (N-1) * (N-2) * ... * 1. The factorial of zero is one because it is an empty product. Factorial can be defined recursively as 0! = 1 N! = N * (N-1)! , N > 0 The gamma function is the equivalent for real numbers. For example, the number of ways of shuffling 52 playing cards is 52! or nearly 10^68. 52 Factorial (http://czep.net/weblog/52cards.html). (2012-11-23)