Can you explain the factorial of negative numbers?

Can you explain the factorial of negative numbers?

Factorial is defined only for non-negative integers. So, negative numbers don't have a factorial.

Why is the factorial not defined for negative numbers?

Factorial is based on the product of all positive integers up to a number, which doesn't apply to negatives.

What happens if I try to calculate the factorial of a negative number?

If you attempt to calculate it, you'll typically get an error or undefined result in most programming languages.

Are there any extensions of factorial for negative numbers?

Yes, the Gamma function extends the concept of factorial to complex and negative numbers, except for negative integers.