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 tag. In math concepts, 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 find the "n" way pieces can be positioned .

Factorial Formula

To find the factorial of any given number, change the exact 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 collectively to receive the factorial of the number.

We can also figure out a factorial from the prior one. The factorial of any number is that number multiplied 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 corresponding to 1. So, 0! = 1.

Other conversions of the number 71