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Last updated on December 11, 2025

Factorial of -2

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Factorial is the process of taking a number and multiplying it by all the lesser, natural numbers. However, the factorial function is only defined for non-negative integers. In this topic, we will learn about the factorial of -2 and why it is undefined.

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What is the Factorial of -2?

The factorial of a number is denoted by an exclamation mark (!) after it.

 

If n is a non-negative integer, then: n! = n × (n - 1) × (n - 2) × ... × 3 × 2 × 1

 

However, factorials are not defined for negative numbers in standard arithmetic.

 

Therefore, the factorial of -2 is undefined.

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Important Glossaries of Factorial of -2

  • Factorial: The process of multiplying a number by all the natural numbers smaller than itself. It is denoted by an exclamation mark (!). However, it is defined only for non-negative integers.

 

  • Undefined: A term used in mathematics to indicate that a particular operation or expression does not have a valid result.

 

  • Non-negative integers: Whole numbers that are greater than or equal to zero (0, 1, 2, 3, ...).

 

  • Natural numbers: Counting numbers starting from 1, 2, 3, and so on. Note that this does not include zero or negative numbers.

 

  • Mathematical function: A relation that uniquely associates members of one set with members of another set, often represented by formulas or equations. In this context, the factorial is a function applied to non-negative integers.
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Jaskaran Singh Saluja

About the Author

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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: He loves to play the quiz with kids through algebra to make kids love it.

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