# 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:

### 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)
$5!+5!=120+120=240$

Incorrect:

b)
$5!+5!=25!=15511210043330985984000000$

### Subtraction of Factorials

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

Correct:

a)
$5!-4!=120-24=96$

Incorrect:

b)
$5!-4!=1!=1$

### Multiplication of Factorials

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

Correct:

a)
$2!\cdot 3!=2\cdot 6=12$

Incorrect:

b)
$2!\cdot 3!=6!=720$

### 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)

6!
3!
=
$\frac{}{}$
6
⋅
5
⋅
4
⋅
3!
/
3!
/
=6⋅5⋅
4
=120

Incorrect:

b)
6!
3!
= 2!
$\frac{}{}$
/
= 2

## Here are some calculations you can do

Use our Factorial Calculator tool to get the following results: