Enter Multifactorial
Calculate the multifactorial 30!
4We 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 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)
Build final multifactorial answer:
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
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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