The exact factorial of 100 is:

93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000

📌 Number of digits in the exact factorial of 100! = 158.

Approximately, the value of 100! can also be written as 9.332621544 E+157.

## How to calculate 100!

The formula for finding the factorial of a number is:

n! = n × (n-1) × (n-2) × … × 2 × 1

The same formula can also be written in terms of PI product notation as: So, by definition, 100! is calculated as:

100 × 99 × 98 × … × 2 × 1

Also see:

### How many digits are there in the exact value of 100!?

There are 158 digits in the exact value of 100!.

### What is the value of 100 factorial in terms of E?

The value of 100! in terms of E is 9.332621544 E+157.

### What are the uses of factorials?

According to Wikipedia:

In mathematical analysis, factorials are used in power series for the exponential function and other functions, and they also have applications in algebra, number theory, probability theory, and computer science.