Factorial of Negative Number
Factorial of a negative number is not defined/undefined. If we extend the definition of factorial using the gamma function then the factorial of a negative number is calculated, but in general, it is not defined. Let’s see how we can prove the factorial of negative numbers is undefined.
Formula for calculating the factorial of n! = (n+1)!/(n+1)
Calculating the value of (-1)! using the above formula: (-1)! = (-1+1)!/(-1+1)
(-1)! = (0)!/0
(-1)! = 1/0
Any value divided by 0 is undefined, so the negative number value is not defined.
Zero Factorial (0!)
The value of zero factorial is 1. Factorial of any number “n” is calculated by multiplying all the numbers between n and 1 (including n). So one might ask what is the value of zero factorial, the value of 0! factorial is 1 and this is calculated using various methods.
In this article we are going to learn about the definition of factorial, how factorial is calculated, the Derivation of 0! is equal to 1, Examples and FAQs related to Factorial, and others.
Table of Content
- Definition of Factorial
- How is Factorial Calculated?
- What is Factorial of 0?
- Derivation of Zero Factorial is Equal to 1
- Permutations and Factorials
- Factorial of Negative Number
- Operations On Factorial
- Sample Problems on Zero Factorial
- Practice Problems on Zero Factorial
- Zero Factorial – FAQs