What is 47 factorial ?

Steps to calculate factorial of 47

How to calculate the factorial of 47

To find 47 factorial, or 47!, simply use the formula that multiplies the number 47 by all positive whole numbers less than it.

Let's look at how to calculate the Factorial of Forty-seven :

  47! is exactly : 258623241511168180642964355153611979969197632389120000000000

  Factorial of 47 can be calculated as:
47! = 47 x 46 x 45 x 44 x ... x 3 x 2 x 1

  The number of trailing zeros in 47! is 11

  The number of digits in 47 factorial is 60.

What Is Factorial?

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

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

Symbolically, it is displayed as "!".

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

Factorial Formula

To find the factorial of any given number, replace the value for n in the given rule :

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

The expansion of the formula provides the numbers to be multiplied with each other to obtain the factorial of the number.

We can also figure out a factorial from the previous 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 :
47! Factorial = 47 x 46 x 45 x 44 x ... x 3 x 2 x 1 = 47 × 46! = 258623241511168180642964355153611979969197632389120000000000

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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