What is 60 factorial ?

Steps to calculate factorial of 60

How to calculate the factorial of 60

To find 60 factorial, or 60!, simply use the formula that multiplies the number 60 by all positive whole numbers less than it.

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

  60! is exactly : 8320987112741390144276341183223364380754172606361245952449277696409600000000000000

  Factorial of 60 can be calculated as:
60! = 60 x 59 x 58 x 57 x ... x 3 x 2 x 1

  The number of trailing zeros in 60! is 14

  The number of digits in 60 factorial is 82.

What Is Factorial?

A factorial is displayed by an integer and an exclamation mark. In Mathematics, 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 find the "n" way objects can be structured .

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 numbers to be replicated collectively to receive the factorial of the number.

We can also work out a factorial from the prior 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 :
60! Factorial = 60 x 59 x 58 x 57 x ... x 3 x 2 x 1 = 60 × 59! = 8320987112741390144276341183223364380754172606361245952449277696409600000000000000

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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