What is 41 factorial ?

Steps to calculate factorial of 41

How to calculate the factorial of 41

To find 41 factorial, or 41!, simply use the formula that multiplies the number 41 by all positive whole numbers less than it.

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

  41! is exactly : 33452526613163807108170062053440751665152000000000

  Factorial of 41 can be calculated as:
41! = 41 x 40 x 39 x 38 x ... x 3 x 2 x 1

  The number of trailing zeros in 41! is 9

  The number of digits in 41 factorial is 50.

What Is Factorial?

A factorial is symbolized 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 represented as "!".

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

Factorial Formula

To find the factorial of any given number, substitute 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 multiplied collectively 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 times the factorial of (that number minus 1).

So the rule is : n! = n × (n−1)!

Example :
41! Factorial = 41 x 40 x 39 x 38 x ... x 3 x 2 x 1 = 41 × 40! = 33452526613163807108170062053440751665152000000000

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 integer factorials are undefined

2) What Is 0!
 Zero factorial or Factorial of 0 is simple, and its value is corresponding to 1. So, 0! = 1.

Other conversions of the number 41