Advanced Factorial Calculator

Calculate factorials with step-by-step visualization and 3D growth analysis

🔢 Factorial Calculator

Enter a number to calculate its factorial

Number (n) Maximum: 170 (due to JavaScript number limits)

📊 Results

Factorial calculation results

n! = 1

Number of Digits 1

Computation Time 0 ms

Computation steps will appear here...

📈 Factorial Growth

Exponential growth visualization

🎯 3D Factorial Tower

Interactive 3D representation

Drag to rotate • Scroll to zoom

Understanding Factorials

A factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. Factorials grow extremely rapidly and have many applications in mathematics, particularly in combinatorics and probability.

Definition

n! = n × (n-1) × (n-2) × ... × 2 × 1
By definition, 0! = 1

Applications

Used in permutations, combinations, probability calculations, and series expansions in calculus.

Growth Rate

Factorials grow faster than exponential functions. Even 70! has over 100 digits!