# What is the Factorial of 100

Factorial of 100 or any whole number “n” is defined as the product of all the numbers less than or equal to “n” up to 1.

For instance, the factorial of 4 is 24 because 4 factorial = 4 x 3 x 2 x 1. The character “!” is used to symbolize the factorial of a number. Therefore, the value of 4! is 24.

Factorials have been seen in multiple historical works from Indian, middle eastern and European regions. But the symbol n! was introduced by a French mathematician named Christian Kramp in 1808.

Numerous topics in mathematics, including number theory, algebra, geometry, probability, statistics, graph theory, and discrete mathematics, are rooted in the study of factorials.

Index

## What is the value of 100 factorial?

9.33262e+157

The more precise value of 100 factorial is 9.3326215443944e+157.

## How do you calculate the factorial of 100?

We take 100 and multiply it by 100 to get the factorial:

100 x 99 x 98 x 97 x 96 x… = 9.3326215443944E+157.

## Formula of Factorial

The factorial is simple to calculate. You should be familiar with its formula for this. The factorial-n formula has been provided below for your study

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

## Applications of Factorial

Factorials are widely used in permutations and combinations for example the n choose k formula. Factorials are also used in the binomial theorem. They appear in multiple power series expansions

## Problems

1) Prove that 0! is 1.

Solution: Formul to find factorial of n is n!= n x (n-1) … x 1

=> n! = n x (n-1)!

So, if we take 1! it is = 1! x (1-1)!

=> 1= 1.(0!)

=> 1 = 0!

Or which gives 0!= 1.

## FAQs

What is the factorial’s symbol?

The factorial of a number is denoted by the number followed by ‘!’. Example, the factorial of 8 is denoted by 8!

What is the formula of factorial?

n! = n × (n – 1) × (n – 2) × … × 1 = n × (n – 1)!

What is the factorial of negative numbers?

Not defined.

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