What is 61 factorial ?

Steps to calculate factorial of 61

How to calculate the factorial of 61

To find 61 factorial, or 61!, simply use the formula that multiplies the number 61 by all positive whole numbers less than it.

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

  61! is exactly : 507580213877224798800856812176625227226004528988036003099405939480985600000000000000

  Factorial of 61 can be calculated as:
61! = 61 x 60 x 59 x 58 x ... x 3 x 2 x 1

  The number of trailing zeros in 61! is 14

  The number of digits in 61 factorial is 84.

What Is Factorial?

A factorial is showed by an integer and an exclamation mark. In math concepts, factorial is a multiplication process of natural numbers .

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

Symbolically, it is displayed as "!".

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

Factorial Formula

To find the factorial of any given number, change 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 replicated collectively to get the factorial of the number.

We can also determine a factorial from the prior 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 :
61! Factorial = 61 x 60 x 59 x 58 x ... x 3 x 2 x 1 = 61 × 60! = 507580213877224798800856812176625227226004528988036003099405939480985600000000000000

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 corresponding to 1. So, 0! = 1.

Other conversions of the number 61