factorial

[ fak-tawr-ee-uhl, -tohr- ]

noun

1. Mathematics. the product of a given positive integer multiplied by all lesser positive integers: The quantity four factorial (4!) = 4 ⋅ 3 ⋅ 2 ⋅ 1 = 24. : n!, where n is the given integer.

1. Mathematics. of or relating to factors or factorials.
2. of or relating to a factor or a factory.

factorial

/ fækˈtɔːrɪəl /

noun

1. the product of all the positive integers from one up to and including a given integer. Factorial zero is assigned the value of one: factorial four is 1 × 2 × 3 × 4 . Symbol: n !, where n is the given integer
“Collins English Dictionary — Complete & Unabridged” 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

1. of or involving factorials or factors
“Collins English Dictionary — Complete & Unabridged” 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

factorial

/ făk-tôrē-əl /

1. The product of all of the positive integers from 1 to a given positive integer. It is written as the given integer followed by an exclamation point. For example, the factorial of 4 (written 4!) is 1 × 2 × 3 × 4, or 24.

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Word History and Origins

Origin of factorial1

First recorded in 1810–20; factor + -ial
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Example Sentences

These phenomena demonstrate the existence of a complex interrelation between the factorial units.

In its place stands the factorial hypothesis, evolved by workers in America, England, and France at about the same time.

It is by no means unlikely that various dark forms of lubricipeda correspond with a progressive series of factorial additions.

The possible connections within it were factorial one hundred thousand.