What is 32 factorial ?

Steps to calculate factorial of 32

How to calculate the factorial of 32

To find 32 factorial, or 32!, simply use the formula that multiplies the number 32 by all positive whole numbers less than it.

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

  32! is exactly : 263130836933693530167218012160000000

  Factorial of 32 can be calculated as:
32! = 32 x 31 x 30 x 29 x ... x 3 x 2 x 1

  The number of trailing zeros in 32! is 7

  The number of digits in 32 factorial is 36.

What Is Factorial?

A factorial is symbolized by an integer and an exclamation symbol. In arithmetic, factorial is a multiplication function of natural numbers .

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

Symbolically, it is showed as "!".

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

Factorial Formula

To find the factorial of any given number, alternate 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 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 replicated the factorial of (that number minus 1).

So the rule is : n! = n × (n−1)!

Example :
32! Factorial = 32 x 31 x 30 x 29 x ... x 3 x 2 x 1 = 32 × 31! = 263130836933693530167218012160000000

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 equal to 1. So, 0! = 1.

Other conversions of the number 32