Definitions for factorialfækˈtɔr i əl, -ˈtoʊr-

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Random House Webster's College Dictionary

fac•to•ri•alfækˈtɔr i əl, -ˈtoʊr-(n.)

  1. 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.

    Category: Math

  2. (adj.)of or pertaining to factors or factorials.

    Category: Math

  3. of or pertaining to a factor or a factory.

Origin of factorial:

1810–20

fac•to′ri•al•ly(adv.)

Princeton's WordNet

  1. factorial(adj)

    the product of all the integers up to and including a given integer

    "1, 2, 6, 24, and 120 are factorials"

  2. factorial(adj)

    of or relating to factorials

Wiktionary

  1. factorial(Noun)

    The result of multiplying a given number of consecutive integers from 1 to the given number. In equations, it is symbolized by an exclamation mark (!). For example, 5! = 1 * 2 * 3 * 4 * 5 = 120.

  2. factorial(Adjective)

    Of or pertaining to a factor or factorial.

  3. factorial(Adjective)

    Of or pertaining to a factor.

  4. factorial(Adjective)

    Of or pertaining to a factory.

Webster Dictionary

  1. Factorial(adj)

    of or pertaining to a factory

  2. Factorial(adj)

    related to factorials

  3. Factorial(noun)

    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

  4. Factorial(noun)

    the product of the consecutive numbers from unity up to any given number


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