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 showed by an integer and an exclamation mark. In math concepts, factorial is a multiplication process of natural numbers .

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

Symbolically, it is symbolized as "!".

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

Factorial Formula

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

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

The expansion of the formula gives the numbers to be multiplied together to get the factorial of the number.

We can also measure 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

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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