What is 73 factorial ?

Steps to calculate factorial of 73

How to calculate the factorial of 73

To find 73 factorial, or 73!, simply use the formula that multiplies the number 73 by all positive whole numbers less than it.

Let's look at how to calculate the Factorial of Seventy-three :

  73! is exactly : 4470115461512684340891257138125051110076800700282905015819080092370422104067183317016903680000000000000000

  Factorial of 73 can be calculated as:
73! = 73 x 72 x 71 x 70 x ... x 3 x 2 x 1

  The number of trailing zeros in 73! is 17

  The number of digits in 73 factorial is 106.

What Is Factorial?

A factorial is symbolized by an integer and an exclamation mark. In arithmetic, factorial is a multiplication process 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 get the "n" way items can be organized .

Factorial Formula

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

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

The expansion of the formula provides numbers to be multiplied together with each other to have the factorial of the number.

We can also calculate 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 :
73! Factorial = 73 x 72 x 71 x 70 x ... x 3 x 2 x 1 = 73 × 72! = 4470115461512684340891257138125051110076800700282905015819080092370422104067183317016903680000000000000000

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 73