Want to the know the Factorial of Hundred? The right answer is 9.332622e+157 (Factorial of 100). Check the Process and Formula to calculate the Factorial in this article.

Posted bylokeshsharma Published On August 2nd, 2024 Leave a comment on What is the Factorial of 100?

Table of Contents

The definition of factorial can be said as integer ‘n’ which is either equal to or more than 0. The symbol of factorial is indicated by “!”. For example, the factorial of 5 is 5x4x3x2x1, which is equal to 120. Therefore, 120 is the factorial of 5!. The understanding of factorials depends heavily on the understanding of algebra, geometry, probability, statistics, number theory, graph theory, etc.

## Factorial of 100

For the factorial of 100 we need to understand that 100 consists of more than 10 whole numbers. Having such huge numbers means that it is unlikely to follow each step and calculate the factorial of 100.

Therefore the factorial of 100 can be represented by:

n! = n*(n-1) *(n-2) *(n-3) ….3*2*1

Here n is a natural number that is more than or equal to 1, therefore, by understanding the above formula we can say that if n is equal to 0 then n! would be 1.

So if we use the formula to calculate the factorial of 100, it can be said that the factorial of 100 would be equal to 9.332621544 E + 157.

Finally, we can say that:

100! = 100x99x98………………..3x2x1 = 9.332621544 E + 157. (What is the Factorial of 100?)

Answer:

**100! = 9.332621544 E + 157**

## What is Factorial?

The factorial of a whole number is a function that multiples the number by every natural number below it. In mathematics, factorials are observed commonly in the process of permutations and combinations. To understand the meaning of factorial check the representation below:

**“n!” or “nfactorial” means:**

n! = 1 · 2 · 3 · … · n.

The product of first n integers is n(n-1)(n-2)……(2)(1)

## Formula of Factorial

To find a factorial of an integer one can either simply use the **n (n – 1) (n – 2) ….1** method or can multiply the factorial value of the previous integer with the integer **n! = n × (n – 1)!. **The table below contains the representation and use of both ways to find the factorial of an integer.

Formula of factorial | ||||

n Factorial | n (n – 1) (n – 2) ….1 | Result | n! = n × (n – 1)! | Result |

1 Factorial | 1 | 1 | 1 | 1 |

2 Factorial | 2×1 | 2 | 2×1! | 2 |

3 Factorial | 3x2x1 | 6 | 3×2! | 6 |

4 Factorial | 4x3x2x1 | 24 | 4×3! | 24 |

5 Factorial | 5x4x3x2x1 | 120 | 5×4! | 120 |

6 Factorial | 6x5x4x3x2x1 | 720 | 6×5! | 720 |

7 Factorial | 7x6x5x4x3x2x1 | 5,040 | 7×6! | 5,040 |

8 Factorial | 8x7x6x5x4x3x2x1 | 40,320 | 8×7! | 40,320 |

9 Factorial | 9x8x7x6x5x4x3x2x1 | 3,62,880 | 9×8! | 3,62,880 |

10 Factorial | 10x9x8x7x6x5x4x3x2x1 | 36,28,800 | 10×9! | 36,28,800 |

**About the Author**

Hi! I'm Lokesh Sharma, a passionate content writer specializing in educational technology. 3 years in the EdTech industry have sharpened my skills in crafting educational content that cuts through the noise. I transform complex topics into engaging pieces that empower my readers. Let's leverage the power of knowledge to revolutionize education, together.

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