What is 77 factorial ?

Steps to calculate factorial of 77

How to calculate the factorial of 77

To find 77 factorial, or 77!, simply use the formula that multiplies the number 77 by all positive whole numbers less than it.

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

  77! is exactly : 145183092028285869634070784086308284983740379224208358846781574688061991349156420080065207861248000000000000000000

  Factorial of 77 can be calculated as:
77! = 77 x 76 x 75 x 74 x ... x 3 x 2 x 1

  The number of trailing zeros in 77! is 18

  The number of digits in 77 factorial is 114.

What Is Factorial?

A factorial is showed by an integer and an exclamation tag. In math concepts, factorial is a multiplication operation of natural numbers .

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

Symbolically, it is represented as "!".

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

Factorial Formula

To find the factorial of any given number, substitute the 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 collectively to obtain the factorial of the number.

We can also determine 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 :
77! Factorial = 77 x 76 x 75 x 74 x ... x 3 x 2 x 1 = 77 × 76! = 145183092028285869634070784086308284983740379224208358846781574688061991349156420080065207861248000000000000000000

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

1) Can we have factorials for negative numbers ?
  Negative integer factorials are undefined

2) What Is 0!
 Zero factorial or Factorial of 0 is simple, and its value is equal to 1. So, 0! = 1.

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