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Multifactorial Calculator

Multifactorial Calculator

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This calculator multiplies a number by every kth number below it down to 1 or 2, e.g. 8!! (double factorial) = 8 × 6 × 4 × 2 = 384.

A multifactorial, or k-factorial, multiplies a number by every kth number below it instead of every single number the way an ordinary factorial does — the double factorial, for example, skips every other number. Enter a number and a degree k (2 for double factorial, 3 for triple, and so on), and this calculator computes the result instantly. It's worth noting that a double factorial n!! is not the same as applying an ordinary factorial twice, a common point of confusion.

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  • A multifactorial (or k-factorial) multiplies a number by every kth number below it, rather than every single number the way an ordinary factorial does — the double factorial (k=2) skips every other number.
  • The double factorial n!! is not the same as applying factorial twice, (n!)! — it specifically means multiplying every other number, e.g. 8!! = 8 × 6 × 4 × 2.
  • Even and odd numbers behave differently under double factorial: an even n!! ends at 2, while an odd n!! ends at 1, e.g. 9!! = 9 × 7 × 5 × 3 × 1.

How is a double factorial different from a regular factorial?

A regular factorial n! multiplies every whole number from n down to 1, while a double factorial n!! multiplies only every other number down to 1 or 2.

What is 8!! (double factorial)?

8!! = 8 × 6 × 4 × 2 = 384.