# 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: