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 displayed by an integer and an exclamation symbol. In math concepts, factorial is a multiplication function 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 get the "n" way pieces can be positioned .

Factorial Formula

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

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

The expansion of the formula gives the numbers to be replicated together with each other to have the factorial of the number.

We can also figure out 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 :
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

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 corresponding to 1. So, 0! = 1.

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