noun
- the product of all positive integers from 1 to a given number
Usage: mathematics
adjective
- relating to a factor or factorial
Usage: mathematics
Examples
- The factorial of 5 is 120 because 5 × 4 × 3 × 2 × 1 = 120.
- We use the exclamation mark to denote factorial: 4! = 24.
- Calculating the factorial of large numbers requires careful computation.
- The factorial function grows very rapidly as numbers increase.
- In combinatorics, factorials help determine the number of permutations.
- The factorial of zero is defined as 1 by convention.