# Factorial Calculator

Determine factorials accurately with our Factorial Calculator.

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The Factorial Calculator is a useful tool for calculating the factorial of a non-negative integer. The factorial of a number is the product of all positive integers from 1 to that number. It is denoted by the exclamation mark (!) after the number. For example, the factorial of 5 is written as 5! and is calculated as:

\[5! = 5 \times 4 \times 3 \times 2 \times 1 = 120\]

## Using the Calculator

To calculate the factorial of a number using the Factorial Calculator, follow these simple steps:

- Input the non-negative integer for which you want to calculate the factorial. Make sure the number is greater than or equal to 0.
- Click the “Calculate” button.
- The calculator will instantly compute and display the factorial of the input number.

## Applications

The concept of factorial finds applications in various mathematical and scientific problems, such as:

**Combinatorics:**One uses factorials to count permutations and combinations, which are important in probability and statistics.**Mathematical Equations:**One uses factorials in mathematical series, including Taylor series and Maclaurin series, and to represent mathematical functions.**Engineering and Computer Science:**Factorials play a role in algorithms and calculations, especially in areas like computer graphics and optimization problems.**Statistics:**One involves factorials in the computation of probability distributions, including the Poisson distribution and the binomial distribution.

The Factorial Calculator simplifies the process of calculating factorials, especially for large numbers, saving time and reducing the risk of errors. It is a valuable tool for students, researchers, and professionals in various fields of science and mathematics.