What Is The Factorial Of 71 - How To Calculate Factorial ?

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.

Factorials of Numbers similar to 71

What Is Factorial?

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

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

Symbolically, it is symbolized as "!".

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

Factorial Formula

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

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

The expansion of the formula provides numbers to be replicated together with each other to have the factorial of the number.

We can also measure a factorial from the previous 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"