# factorial

[fak-tawr-ee-uh l, -tohr-] /fækˈtɔr i əl, -ˈtoʊr-/
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. Symbol: n!, where n is the given integer.
2.
Mathematics. of or relating to factors or factorials.
3.
of or relating to a factor or a factory.
Origin of factorial
1810-1820
1810-20; factor + -ial
Related forms
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2015.
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British Dictionary definitions for factorially

## 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
2.
of or involving factorials or factors
Derived Forms
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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Word Origin and History for factorially

## factorial

1816 (n.), 1837 (adj.), from factor + -al (2).

Online Etymology Dictionary, © 2010 Douglas Harper
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factorially in Science
 factorial   (fāk-tôr'ē-əl)    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.
The American Heritage® Science Dictionary
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