Factorial Calculator: Compute n!
Calculate the factorial of a non-negative integer instantly. Perfect for students and educators in India and worldwide.
Your Factorial Result
Factorial (n!)
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Calculation Steps
Steps will appear here after calculation.
Factorial Calculation Tips
Ensure the input is a non-negative integer.
Large factorials grow rapidly.
Use for permutations or combinations.
More Tools to Explore:
Your Guide to Factorial Calculations
What’s a Factorial Calculator?
This tool computes the factorial of a non-negative integer (n!), the product of all positive integers up to n. Ideal for students and educators in India and globally.
How Factorials Are Calculated
Method used:
Factorial (n!):
n! = n × (n-1) × (n-2) × ... × 1 (e.g., 5! = 5 × 4 × 3 × 2 × 1 = 120)
Special Cases:
0! = 1 by definition
Large n may produce very large results
Our calculator ensures accurate results with clear steps!
Understanding Your Results
Your results include:
Component | Description |
---|---|
Factorial (n!) | The computed factorial (e.g., 5! = 120). |
Calculation Steps | Step-by-step multiplication process. |
Why Use a Factorial Calculator?
Compute factorials effectively:
Educational Tool
Solve math problems quickly.
Verify Answers
Check homework or exam solutions.
Learn Concepts
Understand factorial calculations.
Key Considerations for Factorials
Ensure accurate results:
Uses iterative multiplication for accuracy. Large factorials may exceed display limits.
Only non-negative integers up to 100 are supported to avoid overflow.
0! = 1 by mathematical definition, used in combinatorics.
Frequently Asked Questions About Factorials
Questions about calculating factorials? Here are answers to guide your learning:
It computes n!, the product of all positive integers up to n, e.g., 5! = 5 × 4 × 3 × 2 × 1 = 120.
n! = n × (n-1) × ... × 1. Special case: 0! = 1. Steps show the multiplication process.
By definition, 0! = 1 to maintain consistency in combinatorial formulas.
Yes! Ideal for CBSE, ICSE, JEE, and NEET math, especially permutations and combinations.
Yes! Calculations are done locally in your browser, with no data stored.