Factorial of 0
2026-02-28 00:58 Diff

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Last updated on December 11, 2025

Factorial is the process of taking a number and multiplying it by all the lesser, natural numbers. The factorial of a number n is denoted by n!. In this topic, we will learn about the factorial of 0.

What is the Factorial of 0?

We write the factorial of a number using an exclamation mark (!) after it.

The factorial of 0 is a special case: 0! = 1 By definition, the factorial of 0 is equal to 1.

This is a unique case in mathematics, and it serves as the base for many mathematical formulas and calculations.

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Important Glossaries of Factorial of 0

  • Factorial: The way of multiplying all the natural numbers smaller than the original number is known as factorial, and it is expressed with an exclamation mark (!).
  • Natural numbers: Counting numbers from 1, 2, 3, and so on.
  • Zero factorial: A special case where 0! is defined to be 1.
  • Combinatorics: A branch of mathematics dealing with combinations and arrangements, where factorials are often used.
  • Identity element: An element that does not change other elements in an operation, such as 0! = 1 in multiplication.

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