30!!!!

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 1

For term 1, we start with 30

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 -1 x 4 = -4 to get n(n - -4)(n - -4)

(n - -4) → 30 - -4 = 22
Our factorial term is:
30(26)(22)

Term 4

Subtract -1 x 4 = -4 to get n(n - -4)(n - -4)(n - -4)

(n - -4) → 30 - -4 = 18
Our factorial term is:
30(26)(22)(18)

Term 5

Subtract -1 x 4 = -4 to get n(n - -4)(n - -4)(n - -4)(n - -4)

(n - -4) → 30 - -4 = 14
Our factorial term is:
30(26)(22)(18)(14)

Term 6

Subtract -1 x 4 = -4 to get n(n - -4)(n - -4)(n - -4)(n - -4)(n - -4)

(n - -4) → 30 - -4 = 10
Our factorial term is:
30(26)(22)(18)(14)(10)

Term 7

Subtract -1 x 4 = -4 to get n(n - -4)(n - -4)(n - -4)(n - -4)(n - -4)(n - -4)

(n - -4) → 30 - -4 = 6
Our factorial term is:
30(26)(22)(18)(14)(10)(6)

Term 8

Subtract -1 x 4 = -4 to get n(n - -4)(n - -4)(n - -4)(n - -4)(n - -4)(n - -4)(n - -4)

(n - -4) → 30 - -4 = 2
Our factorial term is:
30(26)(22)(18)(14)(10)(6)(2)

Build final multifactorial:

30!⁴ = n(n - -4)(n - -4)(n - -4)(n - -4)(n - -4)(n - -4)(n - -4)...

30!⁴ = 30(26)(22)(18)(14)(10)(6)(2)

Final Answer

30!⁴ = 518,918,400

What is the Answer?

30!⁴ = 518,918,400

How does the Multifactorials Calculator work?

Free Multifactorials Calculator - Calculates the multifactorial n!^(m)
This calculator has 1 input.

What 1 formula is used for the Multifactorials Calculator?

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

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.
_nP_r = n!/(n - r)!