What is 78 factorial ?

Steps to calculate factorial of 78

How to calculate the factorial of 78

To find 78 factorial, or 78!, simply use the formula that multiplies the number 78 by all positive whole numbers less than it.

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

  78! is exactly : 11324281178206297831457521158732046228731749579488251990048962825668835325234200766245086213177344000000000000000000

  Factorial of 78 can be calculated as:
78! = 78 x 77 x 76 x 75 x ... x 3 x 2 x 1

  The number of trailing zeros in 78! is 18

  The number of digits in 78 factorial is 116.

What Is Factorial?

A factorial is represented by an integer and an exclamation tag. In math concepts, factorial is a multiplication procedure of natural numbers .

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

Symbolically, it is showed as "!".

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

Factorial Formula

To find the factorial of any given number, substitute the exact 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 multiplied together to receive the factorial of the number.

We can also work out a factorial from the prior one. The factorial of any number is that number replicated the factorial of (that number minus 1).

So the rule is : n! = n × (n−1)!

Example :
78! Factorial = 78 x 77 x 76 x 75 x ... x 3 x 2 x 1 = 78 × 77! = 11324281178206297831457521158732046228731749579488251990048962825668835325234200766245086213177344000000000000000000

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 number factorials are undefined

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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