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Multifactorial Calculator

Multifactorials Calculator


Answer:

Calculator Use

Calculate the following factorials. Note that n!!, and similarly to other multifactorials, is not the same as (n!)!. Refer to formulas below.

  • factorial n!
  • double factorial n!!
  • triple factorial n!!!
  • quadrupal factorial n!!!!
  • quintuple factorial n!!!!!

Factorial Formula

n! = n × (n - 1) × (n - 2) × (n - 3) × ... × 1

Factorial of 5
5! = 5 × 4 × 3 × 2 × 1 = 120

Double Factorial Formula

n!! = n × (n - 2) × (n - 4) × (n - 6) × ...

Double Factorial of 10
10!! = 10 × 8 × 6 × 4 × 2 = 3,840

Note that some programming languages use the function dfactorial to compute double factorials.

Triple Factorial Formula

n!!! = n × (n - 3) × (n - 6) × (n - 9) × ...

Triple Factorial of 22
22!!! = 22 × 19 × 16 × 13 × 10 × 7 × 4 × 1 = 24,344,320


References

[1] For more information on double, triple and quadruple factorials please see the Multifactorial page at Wolfram MathWorld.

 

Cite this content, page or calculator as:

Furey, Edward "Multifactorial Calculator" at https://www.calculatorsoup.com/calculators/discretemathematics/multifactorials.php from CalculatorSoup, https://www.calculatorsoup.com - Online Calculators

Last updated: September 17, 2023

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