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Factorial

/fækˈtɔːɹi.əl/

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.

Full Dictionary Entry

📖 Definitions of "Factorial"

noun

1
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.

adjective

1
Of or pertaining to a factor or factorial.
2
Of or pertaining to a factor, a kind of business agent.
3
Of or pertaining to a factory.

💡 Words with a Similar Meaning to "Factorial"

Found via reverse dictionary — words that share a conceptual meaning.

Word	Definition
factornoun	One of the elements, circumstances, or influences which contribute to produce a result.
double factorialnoun	(mathematics, combinatorics) For an odd integer, the result of multiplying all the odd integers from 1 to the given number; or for an even integer, the result of multiplying all the even integers from 2 to the given number; symbolised by a double exclamation mark (!!). For example, 9!! = 1 × 3 × 5 × 7 × 9 = 945.
factorializationnoun	(mathematics) The process of factorializing.
hyperfactorialnoun	(mathematics) The result of multiplying a given number of consecutive integers from 1 to the given number, each raised to its own power.
factorialitynoun	The property of being factorial.
factorial primenoun	(mathematics) A prime number that is one more or one less than a factorial. For example, 7 is a factorial prime, since 3! + 1 = 7.
subfactorialnoun	(mathematics, combinatorics) The result of deranging a number. In equations, it is usually symbolised by an exclamation mark (!) before the number being deranged (as opposed to factorials, where the exclamation mark occurs after the number).
bangnoun	A sudden percussive noise.
superfactorialnoun	(mathematics) A product of factorials, such that the superfactorial of a number n is 1! × 2! × 3! × ... × n!.
factorionnoun	(mathematics) A number that is equal to the sum of the factorials of its digits.
exponentiationnoun	(mathematics, arithmetic) The process of calculating a power by multiplying together a number of equal factors, where the exponent specifies the number of factors to multiply.
multifactorial	Involving, or controlled by multiple factors.
semifactorialnoun	(mathematics, combinatorics, rare) Synonym of double factorial.
factorizationnoun	(mathematics) The process of creating a list of factors.
factorial experimentnoun	An experiment in which all combinations of multiple parameters or variables are each tested
binomial coefficientnoun	(combinatorics) a coefficient of any of the terms in the expansion of the binomial (x+y)ⁿ, defined by n choose k=(n!)/(k!(n-k)!), read as "n choose k"
exponential generating functionnoun	(mathematics) A formal power series with one indeterminate, whose coefficients are fractions with factorial denominators (of index corresponding to the power of the indeterminate) and numerators which represent a sequence of numbers that is to be studied.
factorial tablenoun	(statistics) A tabular presentation of data used to show the influence of two independent categorical variables on a dependent variable.
binomial theoremnoun	(mathematics) A formula giving the expansion of a binomial such as (a+b) raised to any positive integer power, i.e. (a+b)ⁿ. It's possible to expand the power into a sum of terms of the form axᵇyᶜ where the coefficient of each term is a positive integer. For example:
factoringnoun	(mathematics) The process of rewriting an expression as the product of its factor.