Definitions for Factorialfækˈtɔr i əl, -ˈtoʊr-

Princeton's WordNet(0.00 / 0 votes)Rate this definition:

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

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

of or relating to factorials

GCIDE(1.00 / 1 vote)Rate this definition:

1. Factorial(n.)

The product of the consecutive whole numbers from unity up to any given number; thus, 5 factorial is the product of 5 times four times three times two times one, or 120.

Wiktionary(0.00 / 0 votes)Rate this definition:

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.

Of or pertaining to a factor or factorial.

Of or pertaining to a factor.

Of or pertaining to a factory.

Webster Dictionary(0.00 / 0 votes)Rate this definition:

of or pertaining to a factory

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

Freebase(0.00 / 0 votes)Rate this definition:

1. Factorial

In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. For example, The value of 0! is 1, according to the convention for an empty product. The factorial operation is encountered in many different areas of mathematics, notably in combinatorics, algebra and mathematical analysis. Its most basic occurrence is the fact that there are n! ways to arrange n distinct objects into a sequence. This fact was known at least as early as the 12th century, to Indian scholars. The notation n! was introduced by Christian Kramp in 1808. The definition of the factorial function can also be extended to non-integer arguments, while retaining its most important properties; this involves more advanced mathematics, notably techniques from mathematical analysis.

Suggested Resources(0.00 / 0 votes)Rate this definition:

1. factorial

The factorial symbol -- In this Symbols.com article you will learn about the meaning of the factorial symbol and its characteristic.

Numerology

1. Chaldean Numerology

The numerical value of Factorial in Chaldean Numerology is: 3

2. Pythagorean Numerology

The numerical value of Factorial in Pythagorean Numerology is: 4

Translations for Factorial

From our Multilingual Translation Dictionary

• факториал
• faktoriál
• fakultet
• Fakultät
• factorial
• faktoriaal
• فاکتوریل
• kertoma
• factorielle
• iolrán
• aðfaldaður, aðfeldi, hrópmerktur
• fattoriale
• 階乗
• факториал
• faculteit
• fakultet
• silnia, faktoriał
• fatorial
• факториал
• fakultet

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