# What is 70 factorial ?

Steps to calculate factorial of 70

## How to calculate the factorial of 70

To find 70 factorial, or 70!, simply use the formula that multiplies the number 70 by all positive whole numbers less than it.

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

70! is exactly : 11978571669969891796072783721689098736458938142546425857555362864628009582789845319680000000000000000

Factorial of 70 can be calculated as:
70! = 70 x 69 x 68 x 67 x ... x 3 x 2 x 1

The number of trailing zeros in 70! is 16

The number of digits in 70 factorial is 101.

## What Is Factorial?

A factorial is represented by an integer and an exclamation tag. In arithmetic, factorial is a multiplication function of natural numbers .

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

Symbolically, it is represented as "!".

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

## Factorial Formula

To find the factorial of any given number, substitute the value for n in the given way :

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

The expansion of the formula gives the numbers to be multiplied with each other to obtain the factorial of the number.

We can also calculate 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 :
70! Factorial = 70 x 69 x 68 x 67 x ... x 3 x 2 x 1 = 70 × 69! = 11978571669969891796072783721689098736458938142546425857555362864628009582789845319680000000000000000

## 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 corresponding to 1. So, 0! = 1.