# Multifactorial Calculator n! to n!!!!!

> Calculate n-factorials with step sizes from one through five using exact integer arithmetic.

Page: https://askcalculators.com/calculator/multifactorial-n-to-n-calculator/
Definition: https://askcalculators.com/calculator/multifactorial-n-to-n-calculator/definition.json
JSON Schema: https://askcalculators.com/calculator/multifactorial-n-to-n-calculator/schema.json
Version: 1.0.0
Maintained by: AskCalculators (software project; not a credentialed reviewer)
Qualified review: pending. Automated checks do not establish professional approval.
Page status: Live
Review status: Pending

## Use
Open the calculator page and enter values. Query-string parameters can restore and bookmark a calculation.
Example: https://askcalculators.com/calculator/multifactorial-n-to-n-calculator/?n=10&order=2

## Inputs
- n: n; type=number; required; default=10; min=0; max=10000
- order: Number of factorial marks; type=number; required; default=2; min=1; max=5

## Outputs
- result: Multifactorial; format=text; primary
- termCount: Number of multiplied terms; format=integer
- notation: Notation; format=text

## Formula
n!ₖ = n(n − k)(n − 2k)… until the next factor would be nonpositive

## Rules
- Empty optional inputs are undefined, not zero.
- Hidden conditional inputs are ignored.
- Do not invent missing required inputs.