Number Theory
Factorial - Number Theory
Learn the factorial with examples, step-by-step guide, and calculator tools. Product of all positive integers up to n
The factorial is a fundamental concept in number theory. Product of all positive integers up to n. This page provides a comprehensive guide with worked examples and practical applications.
The Formula
\[n! = n \times (n-1) \times (n-2) \times \cdots \times 2 \times 1\]
Variables
n!
Factorial of n
n
Non-negative integer
Step-by-Step Guide
- 1
Step 1: Gather your data values
- 2
Step 2: Apply the formula
- 3
Step 3: Perform the calculations
- 4
Step 4: Interpret the result
Examples
Example 1
Example 1: [] → 5! = 5 × 4 × 3 × 2 × 1 = 120
Example 2
Example 2: 120
Frequently Asked Questions
What is the factorial?
Product of all positive integers up to n
How do I calculate factorial?
Use the formula: n! = n \times (n-1) \times (n-2) \times \cdots \times 2 \times 1. Follow the steps provided above.
What tools can help with factorial?
We provide online calculators: calculator