What is 87 factorial ?

Steps to calculate factorial of 87

How to calculate the factorial of 87

To find 87 factorial, or 87!, simply use the formula that multiplies the number 87 by all positive whole numbers less than it.

Let's look at how to calculate the Factorial of Eighty-seven :

  87! is exactly : 2107757298379527717213600518699389595229783738061356212322972511214654115727593174080683423236414793504734471782400000000000000000000

  Factorial of 87 can be calculated as:
87! = 87 x 86 x 85 x 84 x ... x 3 x 2 x 1

  The number of trailing zeros in 87! is 20

  The number of digits in 87 factorial is 133.

What Is Factorial?

A factorial is displayed by an integer and an exclamation mark. 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 represented as "!".

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

Factorial Formula

To find the factorial of any given number, exchange the value for n in the given solution :

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

The expansion of the formula provides the numbers to be replicated with each other to find the factorial of the number.

We can also calculate 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 :
87! Factorial = 87 x 86 x 85 x 84 x ... x 3 x 2 x 1 = 87 × 86! = 2107757298379527717213600518699389595229783738061356212322972511214654115727593174080683423236414793504734471782400000000000000000000

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.

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