The factorial of hundred is equal to 9.332622e+157. In this article, we explain what is factorial of hundred and how to calculate the factorial of hundred. We also provide you factorials of first thirty numbers.

## What is the Factorial of Hundred and how is it calculated?

A factorial is represented by an exclamation mark (!) inserted after the digit whose factorial is to be calculated.

The Factorial of Hundred is calculated in the following way

100! = 100 X 99 X 98 X 97…3 X 2 X 1

After multiplying, we get

=93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000

= 9.332622e+157

### What is a Factorial?

A factorial is a number obtained by multiplying all the numbers from 1 to that number. For example,

4! = 4 X 3 X 2 X 1

Hence

4! = 24

Hence, if we generalize the formula

n! = n X (n-1) X (n-2) X (n-3) …… 3 X 2 X 1

Hence,

n! = n.(n-1).(n-2).(n-3)………………..3.2.1

The origins of factorial are attributed to ancient Indian Mathematics. However, much of the function regarding factorial was developed only in the 18th and 19th centuries AD.

#### Here are some important facts to know about factorial

- Factorial of all positive real numbers except 0 and 1 is are even number
- The Factorial of 0 is equal to 1
- The factorial of a positive real number cannot be negative
- Factorials of numbers are extensively used in Permutation and Combinations, and Probability.
- The factorial of a number is always equal to the number multiplied by factorial of 1 less the number. It is demonstrated as follows

n! = n.(n-1).(n-2).(n-3)…………..3.2.1

n! = n.[(n-1).(n-2).(n-3)…………..3.2.1]

n! = n.(n-1)!

So, for example, factorial of hundred is equal to hundred times factorial of 99

100! = 100 . 99!

### Factorials of first Thirty numbers

Here, we list down the factorials of first thirty numbers

Number (n) | Factorial of the number (n!) |

1 | 1 |

2 | 2 |

3 | 6 |

4 | 24 |

5 | 120 |

6 | 720 |

7 | 5040 |

8 | 40,320 |

9 | 362,880 |

10 | 3,628,800 |

11 | 39,916,800 |

12 | 479,001,600 |

13 | 6,227,020,800 |

14 | 8,717,8291,200 |

15 | 1,307,674,368,000 |

16 | 20,922,789,888,000 |

17 | 355,687,428,096,000 |

18 | 6,402,373,705,728,000 |

19 | 121,645,100,408,832,000 |

20 | 2,432,902,008,176,640,000 |

21 | 51,090,942,171,709,440,000 |

22 | 1,124,000,727,777,607,680,000 |

23 | 25,852,016,738,884,976,640,000 |

24 | 620,448,401,733,239,439,360,000 |

25 | 15,511,210,043,330,985,984,000,000 |

26 | 403,291,461,126,605,635,584,000,000 |

27 | 10,888,869,450,418,352,160,768,000,000 |

28 | 304,888,344,611,713,860,501,504,000,000 |

29 | 8,841,761,993,739,701,954,543,616,000,000 |

30 | 265,252,859,812,191,058,636,308,480,000,000 |

### Frequently Asked Questions (FAQs) about factorial of hundred

**Question 1)** What is a factorial of hundred?

**Answer) **The factorial of hundred is 9.332622e+157

**Question 2) **Where are factorials used?

**Answer) **Factorials of numbers are used in Permutation and Combinations, and Probability.

**Question 3) **How is the factorial of 0 calculated?

**Answer) **The factorial of zero is calculated in the following way:

n! = (n+1)! / (n+1)

0! = 1! / 1

Hence

0! = 1 / 1

= 1

That’s It

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