Factorial Cheat Sheet (customizable)

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To build or customize your cheat sheet (table below) adjust the parameters (From and Step) in this form and hit the Update button. You could also enter the values to calculate their factorial directly on the table
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[See also Times Tables Cheat Sheet]

[Worksheet]

[Printer friendly]

Factorial of a Number (x!)

!	=	1
!	=	1
!	=	2
!	=	6
!	=	24
!	=	120
!	=	720
!	=	5040
!	=	40320
!	=	362880
!	=	3628800
!	=	39916800
!	=	479001600
!	=	6227020800
!	=	87178291200
!	=	1307674368000
!	=	20922789888000
!	=	355687428096000
!	=	6402373705728000
!	=	121645100408832000
!	=	2432902008176640000
!	=	51090942171709440000
!	=	1124000727777607680000
!	=	25852016738884976640000
!	=	620448401733239439360000

Customize the style of your Cheat Sheet

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Exporting the Cheat Sheet to PDF

To export the cheat sheet as a PDF, you can follow these simple steps that leverage the browser's capabilities to save the printer-friendly version of the sheet as a PDF:

Click on the Printer friendly link (here or above the table), or on the Worksheet link if you wanted to get the Worksheet instead of the Cheat Sheet.
Press Ctrl + P (or Cmd + P on Mac) to open the print dialog
In the print dialog, choose Save as PDF as the destination.

The specific steps may vary slightly depending on the browser being used. This enables you to create a portable and accessible version of the cheat sheet that you can refer to anytime, anywhere.

What is a Factorial?

The factorial of a number is the product of all positive integers from 1 up to that number. It's represented by an exclamation mark (!) after the number.

Example with a Small Number

Let's say you want to find the factorial of 4, written as 4!

Start with 1 and multiply by 2, then by 3, and finally by 4
So, it looks like this: 4! = 4 × 3 × 2 × 1 = 24

Important Points to Remember

Factorial of 0: By definition, the factorial of 0 is 1. So, 0! = 1
Rapid Growth: Factorials grow very quickly as the numbers get larger. For instance, 10! is already 3,628,800

Why is Factorial Important?

Factorials are used in many areas of mathematics, including combinatorics, algebra, and calculus. They are especially useful in counting problems, like finding out how many ways you can arrange a set of objects.

For example, imagine you have 3 different colored balls. The factorial helps you figure out how many different ways you can arrange these balls. For 3 balls, the answer would be 3! = 3 × 2 × 1 = 6. So, there are 6 different ways to arrange them.