# What is The Factorial of 100​? (Definition of Factorial)

Originally posted on June 18, 2022 @ 11:59 am

Here you can find answers to questions like: What is the factorial of 100? What is the factorial of 100? What are the last digits of the factorial of 100? How many trailing zeros in 100 factorial? How many digits are there in 100 factorial?

## To Find The factorial of 100

### Step-by-step explanation

We know that if n be a number, then its factorial is given by

n! = n × (n – 1) × (n – 2) × (n – 3) × … … × 1

Here our given number is 100. Thus taking n = 100, we get

100! = 100 × (100 – 1) × (100 – 2) × (100 – 3) × … … × 1

= 100 × 99 × 98 × 97 × … … × 1

= 933262154439441526816992388562667004907159682643816214
6859296389521759
9993229915608941463961565182862536979208
27223758251185210916864000000000000000000000000

The aproximate value of 100! is 9.3326215443944E+157.

The number of trailing zeros in 100! is 24.

The number of digits in 100 factorial is 158.

Let us find the factorial of a smaller number. Say, n = 4. Then 4! = 4 × 3 × 2 × 1 = 24.

## Definition of Factorial

A factorial is a number that can be calculated for any integer n that is greater than or equal to 0.

The factorial is the sum of all numbers less than or equal to n but greater than or equal to 1. By definition, the factorial value of 0 is 1. Factorials are not defined for numbers that are less than zero. The factorial is what you get when you multiply a series of natural numbers that go down, like 3 × 2 × 1.

The factorial symbol is the exclamation mark !

### The factorial formula

If n is a natural number greater than or equal to 1, then

n! = n x (n – 1) x (n – 2) x (n – 3) … 3 x 2 x 1

If n = 0, then n! = 1, by convention. ##### ParagBanerjee

Parag Banerjee is an experienced Search Engine Optimizer. He has a wide knowledge of Google Updates, Analytics, and many others. He studied Computer Application from Techno India.

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