What is 38 factorial ?

Steps to calculate factorial of 38

How to calculate the factorial of 38

To find 38 factorial, or 38!, simply use the formula that multiplies the number 38 by all positive whole numbers less than it.

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

  38! is exactly : 523022617466601111760007224100074291200000000

  Factorial of 38 can be calculated as:
38! = 38 x 37 x 36 x 35 x ... x 3 x 2 x 1

  The number of trailing zeros in 38! is 9

  The number of digits in 38 factorial is 45.

What Is Factorial?

A factorial is symbolized by an integer and an exclamation symbol. In math concepts, factorial is a multiplication operation of natural numbers .

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

Symbolically, it is displayed as "!".

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

Factorial Formula

To find the factorial of any given number, exchange 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 provides the numbers to be replicated with each other to find the factorial of the number.

We can also measure 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 :
38! Factorial = 38 x 37 x 36 x 35 x ... x 3 x 2 x 1 = 38 × 37! = 523022617466601111760007224100074291200000000

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 corresponding to 1. So, 0! = 1.

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