 # 16!!!

## Enter Multifactorial

Calculate the multifactorial 16!3

We have 3 exclamation symbols (!)
Start at 16
Iterate backwards in steps of 3
Stop when we hit 1 or below

## Term 2

Subtract 1 x 3 = 3 to get n(n - 3)
(n - 3) → 16 - 3 = 13
Our factorial term is:
16(13)

## Term 3

Subtract 2 x 3 = 6 to get n(n - 3)(n - 6)
(n - 6) → 16 - 6 = 10
Our factorial term is:
16(13)(10)

## Term 4

Subtract 3 x 3 = 9 to get n(n - 3)(n - 6)(n - 9)
(n - 9) → 16 - 9 = 7
Our factorial term is:
16(13)(10)(7)

## Term 5

Subtract 4 x 3 = 12 to get n(n - 3)(n - 6)(n - 9)(n - 12)
(n - 12) → 16 - 12 = 4
Our factorial term is:
16(13)(10)(7)(4)

## Term 6

Subtract 5 x 3 = 15 to get n(n - 3)(n - 6)(n - 9)(n - 12)(n - 15)
(n - 15) → 16 - 15 = 1
Our factorial term is:
16(13)(10)(7)(4)(1)

16!3 = n(n - 3)(n - 6)(n - 9)(n - 12)(n - 15)...
16!3 = 16(13)(10)(7)(4)(1)
16!3 = 58,240

16!3 = 58,240

### How does the Multifactorials Calculator work?

Calculates the multifactorial n!(m)
This calculator has 1 input.

### What 1 formula is used for the Multifactorials Calculator?

1. n!(m) = (n - m) * (n - m - m) * ... * 1

For more math formulas, check out our Formula Dossier

### What 3 concepts are covered in the Multifactorials Calculator?

factorial
The product of an integer and all the integers below it
multifactorial
generalisation of a factorial in which each element to be multiplied differs from the next by an integer
permutation
a way in which a set or number of things can be ordered or arranged.
nPr = n!/(n - r)!