Factorial Calculator
Use our factorial calculator to find the factorial of any whole number, a key concept in mathematics often used in algebra, statistics, and calculus.
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Data Source and Methodology
All calculations are based on standard mathematical formulas. For comprehensive understanding, refer to Wikipedia's Factorial Page. All calculations are strictly based on the formulas and data provided by this source.
The Formula Explained
The factorial of a non-negative integer n is the product of all positive integers less than or equal to n. It is denoted by n!.
n! = n × (n - 1) × ... × 2 × 1
Glossary of Terms
- Factorial (n!): The product of all positive integers up to a given number n.
How It Works: A Step-by-Step Example
If you calculate the factorial of 5 (5!), it is computed as 5 × 4 × 3 × 2 × 1 = 120.
Frequently Asked Questions (FAQ)
What is a factorial?
A factorial is a function that multiplies the number by every number below it. For example, 5 factorial (written as 5!) is 5 × 4 × 3 × 2 × 1 = 120.
Can a factorial be negative?
No, factorials are only defined for non-negative integers.
What is the factorial of 0?
The factorial of 0 is 1, as per the convention in combinatorics.
Why are factorials important?
Factorials are important in permutations and combinations, which are used in probability and statistics.
How do I calculate large factorials?
Large factorials can be calculated using software tools or algorithms optimized for large integers.