Enter Multifactorial
Calculate the multifactorial 16!
3We 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 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)
Build final multifactorial answer:
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
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?
- 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)!
Example calculations for the Multifactorials Calculator
Multifactorials Calculator Video
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