What is 80 factorial ?

Steps to calculate factorial of 80

How to calculate the factorial of 80

To find 80 factorial, or 80!, simply use the formula that multiplies the number 80 by all positive whole numbers less than it.

Let's look at how to calculate the Factorial of Eighty :

  80! is exactly : 71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000

  Factorial of 80 can be calculated as:
80! = 80 x 79 x 78 x 77 x ... x 3 x 2 x 1

  The number of trailing zeros in 80! is 19

  The number of digits in 80 factorial is 119.

What Is Factorial?

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

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

Symbolically, it is showed as "!".

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

Factorial Formula

To find the factorial of any given number, alternate the value for n in the given method :

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

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

We can also figure out 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 :
80! Factorial = 80 x 79 x 78 x 77 x ... x 3 x 2 x 1 = 80 × 79! = 71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000

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 number factorials are undefined

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

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