Factorial Calculator

Calculate Factorial (n!)

Enter a positive integer to calculate its factorial.

Please enter a valid non-negative integer.
Factorial Visualization

How to Calculate Factorial

Factorial is a mathematical operation that multiplies a positive integer by all the positive integers below it. It's denoted by an exclamation mark (!) after the number.

Formula

The formula for factorial is:

\[ n! = n \times (n-1) \times (n-2) \times ... \times 3 \times 2 \times 1 \]

Where:

  • n is the positive integer for which we're calculating the factorial
  • n! represents the factorial of n

Calculation Steps

  1. Start with the number n.
  2. Multiply n by (n-1).
  3. Continue multiplying by the next lower integer.
  4. Stop when you reach 1.
  5. The final product is n!.

Example

Let's calculate 5!:

  1. Start with 5
  2. 5 × 4 = 20
  3. 20 × 3 = 60
  4. 60 × 2 = 120
  5. 120 × 1 = 120

Therefore, 5! = 120

Visual Representation

Factorial of 5 5 4 3 2 1 5! = 120

This diagram illustrates the factorial of 5, showing how we multiply all integers from 5 down to 1 to get the result of 120.

Article Navigation