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

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

Symbolically, it is symbolized as "!".

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

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 the numbers to be multiplied together to have the factorial of the number.

We can also determine 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 :
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

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.

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