# What is 71 factorial ?

Steps to calculate factorial of 71

## How to calculate the factorial of 71

To find 71 factorial, or 71!, simply use the formula that multiplies the number 71 by all positive whole numbers less than it.

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

71! is exactly : 850478588567862317521167644239926010288584608120796235886430763388588680378079017697280000000000000000

Factorial of 71 can be calculated as:
71! = 71 x 70 x 69 x 68 x ... x 3 x 2 x 1

The number of trailing zeros in 71! is 17

The number of digits in 71 factorial is 102.

## What Is Factorial?

A factorial is represented by an integer and an exclamation symbol. In Mathematics, factorial is a multiplication procedure of natural numbers .

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

Symbolically, it is listed as "!".

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

## Factorial Formula

To find the factorial of any given number, alternate the value for n in the given formulation :

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

The expansion of the formula provides the numbers to be replicated collectively to find 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 :
71! Factorial = 71 x 70 x 69 x 68 x ... x 3 x 2 x 1 = 71 × 70! = 850478588567862317521167644239926010288584608120796235886430763388588680378079017697280000000000000000

## 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 value is equal to 1. So, 0! = 1.