数論
Factorial Calculator
Calculate the factorial of any non-negative integer instantly. Understand factorials with visual representation and easy copy functionality.
Calculation Steps
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For factorials of larger numbers, displaying all steps would be too long.
The factorial value is:
What is Factorial?
In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n.
Formula:
n! = n × (n-1) × (n-2) × ... × 3 × 2 × 1
Examples:
- 5! = 5 × 4 × 3 × 2 × 1 = 120
- 0! is defined as 1.
Use Cases: Factorials are used in various areas of mathematics, including combinatorics, algebra, probability theory, and calculus. They appear in permutations, combinations, Taylor series, and many other formulas.
Learn More: For further reading, you can check out the Wikipedia page on Factorial.