What is 79 factorial ?

Steps to calculate factorial of 79

How to calculate the factorial of 79

To find 79 factorial, or 79!, simply use the formula that multiplies the number 79 by all positive whole numbers less than it.

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

  79! is exactly : 894618213078297528685144171539831652069808216779571907213868063227837990693501860533361810841010176000000000000000000

  Factorial of 79 can be calculated as:
79! = 79 x 78 x 77 x 76 x ... x 3 x 2 x 1

  The number of trailing zeros in 79! is 18

  The number of digits in 79 factorial is 117.

What Is Factorial?

A factorial is represented by an integer and an exclamation mark. In arithmetic, factorial is a multiplication function of natural numbers .

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

Symbolically, it is listed as "!".

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

Factorial Formula

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

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

The expansion of the formula shows the numbers to be multiplied at the same time to have the factorial of the number.

We can also calculate 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 :
79! Factorial = 79 x 78 x 77 x 76 x ... x 3 x 2 x 1 = 79 × 78! = 894618213078297528685144171539831652069808216779571907213868063227837990693501860533361810841010176000000000000000000

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 own value is corresponding to 1. So, 0! = 1.

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