# What is the Factorial of Hundred?

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

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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