An online factorial calculator helps determine the factorial (n!) of a given positive number. Our factorial finder calculator allows you to calculate the factorials of any real number to make your calculation fast.

## What Is a Factorial?

**“Factorial includes the multiplication of a positive integer by each of the numbers till 0. It follows the same logic as the factorial Sequence calculator.”**

It is the mathematical function you would use, like the symbol (!) for the number n.

## Factorial Formula:

The given formula helps you to find the factorial.

**n!= n* (n-1) * (n-2) * ….. * 1**

Whereas: n is the desired number for which you want to do the calculation. Always keep in mind that this formula is always applicable to positive integers and not negative numbers.

## How To Calculate The Factorial?

The factorial calculator might come in handy when you need to solve for factorials. We will provide comprehensive information about the n factorial formula and its application. It's worth a quick glance at the example.

### Example:

Calculate the factorial of the positive number 6.

#### Solution:

We already know to multiply the 6 by the last numbers till 0.

**i.e. 6! **

**6! = 6 * 5 * 4 * 3 * 2 * 1 * 0 = 720**

## Working of Factorial Calculator:

Jump below to learn how to use this factorial calculator to get the desired results in a span of moments!

**Input:**

- Just enter a positive integer less than or equal to having four digits
- Press the Calculate button

**Output:**

The online factorial finder will give you the following results.

- Factorial of the n number
- Step by step calculations

## FAQs:

### Why Are Factorials Important?

It helps when we are trying to determine how many different ways things can be arranged and how many real-world applications there are. For example, How many ways can we arrange n items? Initial decisions have n options.

### Is It Possible To Have a Negative Factorial?

No, the factorial formula is only applicable to the non-negative integers as well as the zero as a domain. Even the factorial calculator can not calculate the factorial of negative integers as it is against the mathematical law.

### Does Zero Factorial Exist?

Yes, always bear in mind that zero is equal to 1 (0! = 1) before knowing the answer to this query. We know that the factorial of 0 is only possible when n>0, so how to calculate the factorial of 0?

**0! = 0! * (0-1)**

**0! = 1**

### What Is The 4 Factorial Mean?

A factorial of 4 means we multiply the 4 by every positive number below the 4. We calculate the factorial by multiplying the 4 by 3, 2, 1, and 0.

## Common Factorials:

Factorial | Answer |
---|---|

n! | n(n-1)...1 |

0! | 1 |

1! | 1 |

2! | 2 |

3! | 6 |

4! | 24 |

5! | 120 |

6! | 720 |

7! | 5040 |

8! | 40320 |

9! | 362880 |

10! | 3628800 |

12! | 479001600 |

15! | 1307674368000 |

20! | 2432902008176640000 |

45! | 1.1962222086548E+56 |

50! | 3.0414093201713E+64 |

100! | 9.3326215443944E+157 |

## References:

From the source Wikipedia: Factorial, History, Definition, Factorial of zero, Applications, Properties, Continuous interpolation, and non-integer generalization, Related sequences and functions.

From the source Khan Academy: calculating the factorials, does order matter?, counting cast, casting problem, binomial coefficient.