30!!!!

Posted by Trudie Dory on Sunday, April 21, 2024
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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 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 answer:

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)

30!4 = 518,918,400

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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

For more math formulas, check out our Formula Dossier

What 3 concepts are covered in the Multifactorials Calculator?

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

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