Creators
Rojony Khatun Author
Rojony Khatun
CalculatorToolsProjectExpert
Reviewers
Małgorzata Koperska, MD Steven Wooding
Last updated: November 18, 2025

Factorials Calculator | Compute n! Instantly Online

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Factorials Calculator

Factorials Calculator

Quickly calculate factorials of any number with the Factorials Calculator. Get accurate results for n! including large integers for math, statistics, and combinatorics.

permutation factorial calculator

The Factorials Calculator can be used to find the numbers n! fast and correctly. Any non-negative integer will be multiplied by the tool until n to give the factorial. It is commonly applied in probability and statistics.

integer factorial calculator

Factorials Calculator is a calculator that calculates instantly the factorial of a number n, n!, a non-negative whole number, the product of all positive whole numbers that are included in the number n. The factorials are applied in combinatorics, probability, statistics, and permutations, as well as series expansions. This calculator is compatible with small and very large integers, and it has an accurate result without the need to multiply numbers manually. The user is allowed to type any non-negative number, and the tool will provide the precise factorial or estimated value of very large numbers. It is applicable to the students, teachers, engineers, and scientists who require a quick and dependable means of computing factorials. The tool is also used in computing combinations and permutations in which factorials are needed to make complex computations easier and without errors.

Works – Input to Output

  • Enter a non-negative integern
  • The calculator computesn! = 1 × 2 × 3 × … × n
  • Displays the factorial result instantly
  • For large numbers, provides approximate values or scientific notation

No installation is required; works directly in your browser.

Testing and Final Adjustments

Check the Factorials Calculator with small numbers, such as 0! = 1, 1! = 1, 5! = 12,0 to check the accuracy. Then it is time to test big numbers like 20! or 50! So that the calculator is able to work with big integers and provide the correct answer or scientific notation. Check decimal or invalid entries to make sure that they are well validated and that errors are properly managed. Compare the results with the manual calculations on small numbers and known factorial tables. Formatting of the output should be changed to be readable, such as using commas or scientific notation in case of very large numbers. The last testing is done to make sure that the calculator is stable, responsive, and precise in all educational, combinatorial, or statistical applications.

Frequently Asked Questions - Factorials Calculator:

What is a factorial?

A factorial n! is the product of all positive integers from 1 to n.

What is 0!?

By definition, 0! equals 1.

Can I calculate large factorials?

Yes, the calculator supports very large integers and scientific notation.

Is factorial used in probability?

Yes, factorials are used in permutations, combinations, and probability formulas.

Can I enter decimal numbers?

No, factorials are defined only for non-negative integers.

Is the result exact?

Yes, for integers small enough to handle. Large values may be shown in approximate scientific notation.

What is 5!?

5! = 1 × 2 × 3 × 4 × 5 = 120.

Can this calculator help with combinatorics?

Yes, factorials are essential for calculating permutations and combinations.

Do I need to install anything?

No, the calculator works online instantly without installation.

Can negative numbers be used?

No, factorials are only defined for non-negative integers.

Rojony Khatun

Rojony Khatun

Calculator Tools Project

Rojony Khatun is the creator of a free online tools website designed to simplify everyday and engineering-related calculations for students, professionals, and hobbyists. The platform offers a wide variety of basic and advanced calculators across key categories, including Electrical Calculators, Electronic Calculators, and Time & Date Calculators, helping users solve problems quickly and accurately.