[fak-tawr-ee-uh l, -tohr-]
/fækˈtɔr i əl, -ˈtoʊr-/

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.

British Dictionary definitions for 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

adjective

2.

of or involving factorials or factors

Derived Forms

factorially, adverb

Word Origin and History for factorial

factorial in Science

factorial in Technology

mathematics

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.

(2005-01-07)

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.

(2005-01-07)

0

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Scrabble
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