Factorial Calculator
The Factorial Calculator is a powerful online tool designed to calculate the factorial of a given positive integer. It uses a simple recursive formula to compute the result, providing an accurate and efficient way to solve mathematical problems. With its user-friendly interface, this calculator is ideal for students, educators, and professionals who need to perform factorial calculations in various fields, including mathematics, statistics, and engineering.
Enter a positive integer to calculate its factorial
How the Factorial Calculator Works
The factorial of a number is calculated using a simple formula: n! = n * (n-1) * (n-2) *... * 2 * 1. For example, the factorial of 5 is calculated as 5! = 5 * 4 * 3 * 2 * 1 = 120.
| Input Number | Factorial Result |
|---|---|
| 1 | 1 |
| 2 | 2 |
| 3 | 6 |
| 4 | 24 |
| 5 | 120 |
| 6 | 720 |
| 7 | 5040 |
| 8 | 40320 |
| 9 | 362880 |
| 10 | 3628800 |
Common Use Cases for the Factorial Calculator
- Calculating permutations and combinations in statistics and probability theory
- Solving problems in combinatorics, such as counting the number of ways to arrange objects
- Computing the number of possible outcomes in a random experiment
- Determining the number of ways to select a committee from a group of people
- Calculating the number of possible paths in a graph or network
- Solving problems in number theory, such as finding the number of divisors of a number
- Computing the number of possible outcomes in a game or sport
- Calculating the number of ways to arrange objects in a particular order
- Determining the number of possible solutions to a system of equations
- Solving problems in computer science, such as counting the number of possible strings or sequences