What is 46 factorial ?

Steps to calculate factorial of 46

How to calculate the factorial of 46

To find 46 factorial, or 46!, simply use the formula that multiplies the number 46 by all positive whole numbers less than it.

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

  46! is exactly : 5502622159812088949850305428800254892961651752960000000000

  Factorial of 46 can be calculated as:
46! = 46 x 45 x 44 x 43 x ... x 3 x 2 x 1

  The number of trailing zeros in 46! is 11

  The number of digits in 46 factorial is 58.

What Is Factorial?

A factorial is symbolized by an integer and an exclamation mark. 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 represented as "!".

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

Factorial Formula

To find the factorial of any given number, exchange the exact value for n in the given formula :

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 find the factorial of the number.

We can also measure a factorial from the previous 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 :
46! Factorial = 46 x 45 x 44 x 43 x ... x 3 x 2 x 1 = 46 × 45! = 5502622159812088949850305428800254892961651752960000000000

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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