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101 LearnersLast updated on December 11, 2025
Factorial of 0
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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Jaskaran Singh Saluja
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Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.
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