Factorial

How to Calculate Factorial Using a Factorial Calculator?

Enter a natural number into the factorial calculator and click the "Calculate" button to get the factorial result for the specified value.

What is Factorial?

Factorial, denoted by the symbol "n!", is the product of all consecutive positive natural numbers not greater than n.

n! = 1 ⋅ 2 ⋅ 3 ⋅ ... ⋅ n

For example, 5! (read as "five factorial") is

5! = 1 ⋅ 2 ⋅ 3 ⋅ 4 ⋅ 5 = 120

What is the Factorial of 0! and Why?

The factorial of 0! is 1. Why? According to the definition of factorial, the factorial of a number n is the product of all consecutive positive natural numbers not greater than n. When n = 0, the product of all consecutive positive natural numbers not greater than 0 is simply 1. Although it may be difficult to intuitively understand, mathematical convention establishes that the factorial of 0! is 1, which is crucial for solving many combinatorial and mathematical problems.

Application of Factorial in Mathematics

Factorial is a mathematical tool that aids in calculations, especially when analyzing different combinations and possible scenarios. It is useful in tasks involving combinations and probabilities. With factorial, we can quickly understand how many possible combinations we can obtain, which is very helpful in mathematics classes and in professional practice. Our simple factorial calculator facilitates these calculations, allowing you to quickly obtain accurate results without unnecessary difficulties.