# What is the number of zeros on the end of 10 factorial? - Factorial Calculator

### Factorial Calculator Until 10,000

Here you can find answers to questions like: What is the number of zeros on the end of 10 factorial? What is the factorial of 10? What is the last digits of factorial of 10? How many trailing zeros in 10 factorial? How many digits are there in 10 factorial? Use the factorial calculator above to find the factorial of any natural between 0 and 10,000.

## What is factorial?

### Definition of factorial

The factorial is a quantity defined for any integer n greater than or equal to 0.

The factorial is the product of all integers less than or equal to n but greater than or equal to 1. The factorial value of 0 is by definition equal to 1. For negative integers, factorials are not defined. The factorial can be seen as the result of multiplying a sequence of descending natural numbers (such as 3 × 2 × 1).

The factorial symbol is the exclamation mark !.

### The factorial formula

If n is a natural number greater than or equal to 1, then

n! = n x (n - 1) x (n - 2) x (n - 3) ... 3 x 2 x 1

If n = 0, then n! = 1, by convention.

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

## Shortcut to find trailing zeros in a factorial

Trailing zeros are a sequence of zeros in the decimal representation of a number, after which no other digits follow. This video shows how to find the trailing zeros of a factorial easily.

## Table of factorials until 30

n | n! |
---|---|

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 | 87178291200 |

15 | 1307674368000 |

16 | 20922789888000 |

17 | 355687428096000 |

18 | 6402373705728000 |

19 | 121645100408832000 |

20 | 2432902008176640000 |

21 | 51090942171709440000 |

22 | 1124000727777607680000 |

23 | 25852016738884976640000 |

24 | 620448401733239439360000 |

25 | 15511210043330985984000000 |

26 | 403291461126605635584000000 |

27 | 10888869450418352160768000000 |

28 | 304888344611713860501504000000 |

29 | 8841761993739701954543616000000 |

30 | 265252859812191058636308480000000 |