Factorial of -3

The factorial of a number n is typically denoted by n! and is defined for non-negative integers. For n ≥ 0, the factorial is calculated as: n! = n × (n - 1) × (n - 2) × … × 3 × 2 × 1

However, the factorial function is not defined for negative integers.

Therefore, the factorial of -3 does not exist within the standard definition of factorials.

It is important to note that factorials are only applicable to non-negative integers.

• Factorial: A mathematical operation that multiplies a number by all positive integers less than itself, denoted by n!. It is only defined for non-negative integers.

• Non-negative integers: Whole numbers that are greater than or equal to zero, including 0, 1, 2, 3, etc.

• Undefined: A term used to indicate that a mathematical result does not exist within the given context or rules.

• Gamma function: An extension of the factorial function to complex numbers, except for negative integers and zero.

• Negative integers: Whole numbers less than zero, such as -1, -2, -3, etc. Factorials are not defined for these numbers.