What Is The Factorial Of 77 - How To Calculate Factorial ?

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.

Factorials of Numbers similar to 77

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"