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 symbolized by an integer and an exclamation symbol. In arithmetic, factorial is a multiplication process of natural numbers .

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

Symbolically, it is represented as "!".

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

Factorial Formula

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

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

The expansion of the formula gives the numbers to be multiplied together with each other to find the factorial of the number.

We can also calculate a factorial from the previous one. The factorial of any number is that number replicated 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.

Other conversions of the number 71