Welcome to the factorial calculator, which computes the factorial of any integer between 0 and 170. In addition to calculating, for example, the 0-factorial or 5-factorial…, we will teach you how to utilize the exclamation point in arithmetic and give information about the n-factorial formula and its applications. Using the factorial definition, we will answer the question “what is a factorial?” after this. Finally, we’ll look at the mathematics behind it to see how we can use the gamma function to incorporate more than just positive integers.

What is a factorial?
In mathematics, factorial is the product of all positive integers less than or equal to a particular positive integer, characterized by that integer plus an exclamation point. For example, factorial seven is written as 8!, which means 1 2 3 4 5 6 7 8.

Getting mathematical: factorial definition and factorial formula
A number’s factorial is the function that multiplies the number by each natural number below it. Factorial can be represented symbolically as “!”. As a result, n factorial is the product of the first n natural numbers and is denoted by n!

The formula for n factorial is: n! = n * (n - 1)n!=n∗(n−1)