# What is 74 factorial ?

Steps to calculate factorial of 74

## How to calculate the factorial of 74

To find 74 factorial, or 74!, simply use the formula that multiplies the number 74 by all positive whole numbers less than it.

Let's look at how to calculate the Factorial of Seventy-four :

74! is exactly : 330788544151938641225953028221253782145683251820934971170611926835411235700971565459250872320000000000000000

Factorial of 74 can be calculated as:
74! = 74 x 73 x 72 x 71 x ... x 3 x 2 x 1

The number of trailing zeros in 74! is 17

The number of digits in 74 factorial is 108.

## What Is Factorial?

A factorial is represented by an integer and an exclamation tag. In arithmetic, factorial is a multiplication operation of natural numbers .

It multiplies the number by every standard number that is less than it .

Symbolically, it is showed as "!".

The function is used, among other things, to get the "n" way objects can be structured .

## Factorial Formula

To find the factorial of any given number, change the value for n in the given solution :

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

The expansion of the formula provides numbers to be replicated together to obtain the factorial of the number.

We can also measure a factorial from the prior one. The factorial of any number is that number times the factorial of (that number minus 1).

So the rule is : n! = n × (n−1)!

Example :
74! Factorial = 74 x 73 x 72 x 71 x ... x 3 x 2 x 1 = 74 × 73! = 330788544151938641225953028221253782145683251820934971170611926835411235700971565459250872320000000000000000

## What are Factorials Used For?

The best use of factorial is in Combinations and Permutations.

Example : Determine how to arrange letters without repeating?

There one way for 1 letter "a":
2 ways for two letters "ab": ab, ba.
There are 6 ways for 3 letters "abc": abc acb cab bac bca.
There are 24 ways for 1234 of the letters "abcd"

## Frequently Asked Questions on Factorial

### Can we have factorials for negative numbers ?

Negative integer factorials are undefined

### What Is 0!

Zero factorial or Factorial of 0 is simple, and its own value is equal to 1. So, 0! = 1.