Factorial Calculator

What is factorial?

The factorial of an number "n!" is nothing more than the successive multiplication of all numbers in the range n to 1. The factor is calculated using integer and positive numbers, the factor of 0 is equal to 1 (0! = 1) and the factor of 1 is equal to 1 (1! = 1).

Enter a value between 0 and 500 for the factorial calculation:

Value:

=

Factorial Formula

The factorial formula is represented by:

n! = n * (n – 1) * (n – 2) * (n – 3) ... 2 * 1

Factorial Examples

See below the 7 factorial example:

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5040

Factorial Representations

Factor numbers can also be represented in the following ways:

7!
or
7 * 6 * 5 * 4!;
or
7 * 6 * 5 * 4 * 3!;
or
7 * 6 * 5 * 4 * 3 * 2!;
or
7 * 6 * 5 * 4 * 3 * 2 * 1!;
or
7 * 6 * 5 * 4 * 3 * 2 * 1;

Factorial Table from 1 to 25

Factorial Result
1!1
2!2
3!6
4!24
5!120
6!720
7!5040
8!40320
9!362880
10!3628800
11!39916800
12!479001600
13!6227020800
14!87178297200
15!1307674368000
16!20922789888000
17!355687428096000
18!6402373705728000
19!121645100408832000
20!2432902008176640000
21!51090942171709440000
22!1124000727777607680000
23!25852016738884976640000
24!620448401733239439360000
25!15511210043330985984000000

Operations with Factorials (n!)

Sum of Factorials

To calculate the sum, first solve each factorial and then do the addition operation.

Correct:

a) $5!+5!=120+120=240$ $4! + 3!= 24 + 6 = 30$

Incorrect:

b) $5!+5!=25!=15511210043330985984000000$ $4! + 3!= 24 + 6 = 30$

Subtraction of Factorials

To calculate the subtraction, first solve each factorial and then do the decrement operation.

Correct:

a) $5!-4!=120-24=96$ $4! + 3!= 24 + 6 = 30$

Incorrect:

b) $5!-4!=1!=1$ $4! + 3!= 24 + 6 = 30$

Multiplication of Factorials

To calculate the multiplication, first solve each factorial and then solve the operation.

Correct:

a) $2!\cdot 3!=2\cdot 6=12$ $4! + 3!= 24 + 6 = 30$

Incorrect:

b) $2!\cdot 3!=6!=720$ $4! + 3!= 24 + 6 = 30$

Division of Factorials

To calculate the division, unlike other operations you can simplify the factorials, just pay attention to the rule that a factorial can only be simplified by one equal to itself.

Correct:

a)

$\frac{}{}$ $\dfrac {6!}{3!} =$

$\frac{}{}$ $\dfrac {6!}{3!} =$

Here are some calculations you can do

Use our Factorial Calculator tool to get the following results: