What is 62 factorial ?

Steps to calculate factorial of 62

How to calculate the factorial of 62

To find 62 factorial, or 62!, simply use the formula that multiplies the number 62 by all positive whole numbers less than it.

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

  62! is exactly : 31469973260387937525653122354950764088012280797258232192163168247821107200000000000000

  Factorial of 62 can be calculated as:
62! = 62 x 61 x 60 x 59 x ... x 3 x 2 x 1

  The number of trailing zeros in 62! is 14

  The number of digits in 62 factorial is 86.

What Is Factorial?

A factorial is displayed by an integer and an exclamation mark. In Mathematics, factorial is a multiplication function of natural numbers .

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

Symbolically, it is symbolized as "!".

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

Factorial Formula

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

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

The expansion of the formula provides the numbers to be multiplied together 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 :
62! Factorial = 62 x 61 x 60 x 59 x ... x 3 x 2 x 1 = 62 × 61! = 31469973260387937525653122354950764088012280797258232192163168247821107200000000000000

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 number factorials are undefined

What Is 0!

 Zero factorial or Factorial of 0 is simple, and its own value is equal to 1. So, 0! = 1.

Other conversions of the number 62