Free online factorial calculator.

Enter the non negative integer number (n) and press the *Calculate* button:

The factorial formula is:

*n!* = 1⋅2⋅3⋅4⋅...⋅*n*

For example:

1! = 1

2! = 1 x 2 = 2

3! = 1 x 2 x 3 = 6

4! = 1x2 x 3 x 4 = 24

5! = 1 x 2 x 3 x 4 x 5 = 120

6! = 1 x 2 x 3 x 4 x 5 x 6 = 720

7! = 1 x 2 x 3 x 4 x 5 x 6 x 7 = 5,040

8! = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 = 40,320

9! = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 = 362,880

10! = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 = 3,628,800

11! = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 = 39,916,800

12! = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12 = 479,001,600

13! = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12 x 13 = 6,227,020,800

14! = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12 x 13 x 14 = 87,178,291,200

15! = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12 x 13 x 14 x 15 = 1,307,674,368,000

16! = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12 x 13 x 14 x 15 x 16 = 20,922,789,888,000

17! = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12 x 13 x 14 x 15 x 16 x 17 = 355,687,428,096,000

18! = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12 x 13 x 14 x 15 x 16 x 17 x 18 = 6,402,373,705,728,000

19! = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12 x 13 x 14 x 15 x 16 x 17 x 18 x 19 = 121,645,100,408,832,000

20! = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12 x 13 x 14 x 15 x 16 x 17 x 18 x 19 x 20 = 2,432,902,008,176,640,000

## Factorial calculation formula and explanation with examples

The factorial is a mathematical operation that is used to calculate the product of all positive integers from 1 up to a given number. It is represented by the exclamation mark (!) symbol, with the number preceding it. For example, 5! (read as "5 factorial") equals 5 x 4 x 3 x 2 x 1, which is equal to 120.

The factorial function has many applications in mathematics, statistics, physics, and engineering. It is used to solve problems involving permutations and combinations, probability, binomial distributions, and more.

To calculate the factorial of a number, we start by multiplying the given number by all the positive integers less than it, all the way down to 1. For example, to find the factorial of 5, we would perform the following calculation:

5! = 5 x 4 x 3 x 2 x 1

= 120

In general, the formula for the factorial of a positive integer n is:

n! = n x (n-1) x (n-2) x ... x 2 x 1

It's important to note that the factorial function is only defined for positive integers. We cannot calculate the factorial of a negative number or a non-integer.

Factorials can become very large very quickly, so it's important to be careful when using them in calculations. For example, the factorial of 20 is 2,432,902,008,176,640,000, which is a very large number that is difficult to work with. Many calculators, including the factorial calculator on JustFreeTools, have built-in features to handle large factorials.

In addition to the factorial of a single number, the factorial function can also be used to calculate combinations and permutations. Combinations are the number of ways to choose a subset of items from a larger set, while permutations are the number of ways to order a set of items. These calculations involve dividing the factorial of the larger set by the factorial of the smaller set and the factorial of the difference between the two sets.

In conclusion, the factorial function is an essential tool in mathematics and has many applications in various fields. By understanding how to calculate factorials and their related concepts of combinations and permutations, we can solve complex problems with ease. The factorial calculator on JustFreeTools provides a quick and easy way to calculate factorials and is a useful tool for students, professionals, and anyone who needs to work with large numbers.

Currently, we have around 5666 calculators, conversion tables and usefull online tools and software features for students, teaching and teachers, designers and simply for everyone.

You can find at this page financial calculators, mortgage calculators, calculators for loans, calculators for auto loan and lease calculators, interest calculators, payment calculators, retirement calculators, amortization calculators, investment calculators, inflation calculators, finance calculators, income tax calculators, compound interest calculators, salary calculator, interest rate calculator, sales tax calculator, fitness & health calculators, bmi calculator, calorie calculators, body fat calculator, bmr calculator, ideal weight calculator, pace calculator, pregnancy calculator, pregnancy conception calculator, due date calculator, math calculators, scientific calculator, fraction calculator, percentage calculators, random number generator, triangle calculator, standard deviation calculator, other calculators, age calculator, date calculator, time calculator, hours calculator, gpa calculator, grade calculator, concrete calculator, subnet calculator, password generator conversion calculator and many other tools and for text editing and formating, downloading videos from Facebok (we built one of the most famous Facebook video downloader online tools). We also provide you online downloanders for YouTube, Linkedin, Instagram, Twitter, Snapchat, TikTok and other social media sites (please note we does not host any videos on its servers. All videos that you download are downloaded from Facebook's, YouTube's, Linkedin's, Instagram's, Twitter's, Snapchat's, TikTok's CDNs. We also specialise on keyboard shortcuts, ALT codes for Mac, Windows and Linux and other usefull hints and tools (how to write emoji online etc.)

There are many very usefull online free tools and we would be happy if you share our page to others or send us any suggestions for other tools which will come on your mind. Also in case you find any of our tools that it does not work properly or need a better translation - please let us know. Our tools will make your life easier or simply help you to do your work or duties faster and in more effective way.

These below are the most commonly used by many users all over the world.

- Free online calculators and tools
- Time zones/Clocks/Dates calculators
- Free Online Units Conversion Calculators
- Free online web design tools
- Free online electricity & electronics tools
- Mathematics
- Online Tools
- Text Tools
- PDF Tools
- Code
- Ecology
- Others
- Free online downloaders for social media
- Marketing
- My PC / computer
- Free online electrical calculators and tools
- Free online financial calculators and tools
- Free online grade calculators and tools
- Free online lighting calculators and tools
- Free online math calculators and tools
- Free online wire calculators and tools
- Free online baby calculators and tools
- Free online body calculators and tools
- Electricity power consumptions/usage
- AC to DC Converter Calculator
- Adding fractions free online calculator
- Addition free online calculator
- Antilog free online calculator
- Arccos free online calculator
- Arcsin free online calculator
- Arctan free online calculator
- Average free online calculator
- Base free online calculator
- Binary free online calculator
- Convolution free online calculator
- Cosine free online calculator
- Dividing fractions free online calculator
- Division free online calculator
- Exponential growth/decay formula calculator online free
- Exponents free online calculator
- Factorial free online calculator
- Fractions free online calculator
- Greatest common factor free online calculator
- Least common multiple free online calculator
- Logarithm free online calculator
- Math free online calculator
- Multiplication free online calculator
- Multiplying fractions free online calculator
- Natural logarithm free online calculator
- Percent error free online calculator
- Percentage change free online calculator
- Percentage free online calculator
- Percentage increase/decrease free online calculator
- Pythagorean theorem free online calculator
- Quadratic equation free online calculator
- Radicals and roots free online calculator
- Random number free online generator
- Random number generator 0-1
- Random number generator 0-10
- Random number generator 0-100
- Random number generator 0-9
- Random number generator 0-99
- Random number generator 1-10
- Random number generator 1-100
- Random number generator 1-2
- Random number generator 1-20
- Random number generator 1-3
- Random number generator 1-4
- Random number generator 1-5
- Random number generator 1-6
- Ratio free online calculator
- Scientific notation free online calculator
- Simplifying fractions free online calculator
- Sine free online calculator
- Square root free online calculator
- Standard deviation free online calculator
- Subtracting fractions free online calculator
- Subtraction free online calculator
- Tangent free online calculator
- Trigonometry free online calculator
- Variance free online calculator
- Weighted average free online calculator

And we are still developing more. Our goal is to become the one-stop, go-to site for people who need to make quick calculations or who need to find quick answer for basic conversions.

Additionally, we believe the internet should be a source of free information. Therefore, all of our tools and services are completely free, with no registration required. We coded and developed each calculator individually and put each one through strict, comprehensive testing. However, please inform us if you notice even the slightest error – your input is extremely valuable to us. While most calculators on Justfreetools.com are designed to be universally applicable for worldwide usage, some are for specific countries only.