# The DICT Development Group

**4 definitions found
for factorial****From 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]

**From 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]

**From 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"

**From The Free On-line Dictionary of Computing (30 December 2018) :
**
factorial
The 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)">(http://czep.net/weblog/52cards.html).
(2012-11-23)

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