 # 30!!!!

## Enter Multifactorial

Calculate the multifactorial 30!4

We have 4 exclamation symbols (!)
Start at 30
Iterate backwards in steps of 4
Stop when we hit 1 or below

## Term 2

Subtract 1 x 4 = 4 to get n(n - 4)
(n - 4) → 30 - 4 = 26
Our factorial term is:
30(26)

## Term 3

Subtract 2 x 4 = 8 to get n(n - 4)(n - 8)
(n - 8) → 30 - 8 = 22
Our factorial term is:
30(26)(22)

## Term 4

Subtract 3 x 4 = 12 to get n(n - 4)(n - 8)(n - 12)
(n - 12) → 30 - 12 = 18
Our factorial term is:
30(26)(22)(18)

## Term 5

Subtract 4 x 4 = 16 to get n(n - 4)(n - 8)(n - 12)(n - 16)
(n - 16) → 30 - 16 = 14
Our factorial term is:
30(26)(22)(18)(14)

## Term 6

Subtract 5 x 4 = 20 to get n(n - 4)(n - 8)(n - 12)(n - 16)(n - 20)
(n - 20) → 30 - 20 = 10
Our factorial term is:
30(26)(22)(18)(14)(10)

## Term 7

Subtract 6 x 4 = 24 to get n(n - 4)(n - 8)(n - 12)(n - 16)(n - 20)(n - 24)
(n - 24) → 30 - 24 = 6
Our factorial term is:
30(26)(22)(18)(14)(10)(6)

## Term 8

Subtract 7 x 4 = 28 to get n(n - 4)(n - 8)(n - 12)(n - 16)(n - 20)(n - 24)(n - 28)
(n - 28) → 30 - 28 = 2
Our factorial term is:
30(26)(22)(18)(14)(10)(6)(2)

30!4 = n(n - 4)(n - 8)(n - 12)(n - 16)(n - 20)(n - 24)(n - 28)...
30!4 = 30(26)(22)(18)(14)(10)(6)(2)
30!4 = 518,918,400

30!4 = 518,918,400

### 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)!