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# factorial

[ fak-**tawr**-ee-*uh*l, -**tohr**- ]

factorial

/ fækˈtɔːrɪəl /

## noun

- 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

## adjective

- of or involving factorials or factors

factorial

/ făk-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.

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## Derived Forms

**facˈtorially**, adverb

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## Other Words From

**fac·tori·al·ly**adverb

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## Word History and Origins

Origin of factorial^{1}

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