16!!!

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 1

For term 1, we start with 16

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 -1 x 3 = -3 to get n(n - -3)(n - -3)

(n - -3) → 16 - -3 = 10
Our factorial term is:
16(13)(10)

Term 4

Subtract -1 x 3 = -3 to get n(n - -3)(n - -3)(n - -3)

(n - -3) → 16 - -3 = 7
Our factorial term is:
16(13)(10)(7)

Term 5

Subtract -1 x 3 = -3 to get n(n - -3)(n - -3)(n - -3)(n - -3)

(n - -3) → 16 - -3 = 4
Our factorial term is:
16(13)(10)(7)(4)

Term 6

Subtract -1 x 3 = -3 to get n(n - -3)(n - -3)(n - -3)(n - -3)(n - -3)

(n - -3) → 16 - -3 = 1
Our factorial term is:
16(13)(10)(7)(4)(1)

Build final multifactorial:

16!³ = n(n - -3)(n - -3)(n - -3)(n - -3)(n - -3)...

16!³ = 16(13)(10)(7)(4)(1)

Final Answer

16!³ = 58,240

What is the Answer?

16!³ = 58,240

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)!