What is 40 factorial ?

To find 40 factorial, or 40!, simply use the formula that multiplies the number 40 by all positive whole numbers less than it.

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

  40! is exactly : 815915283247897734345611269596115894272000000000

  Factorial of 40 can be calculated as:
40! = 40 x 39 x 38 x 37 x ... x 3 x 2 x 1

  The number of trailing zeros in 40! is 9

  The number of digits in 40 factorial is 48.

• 36 Factorial
• 37 Factorial
• 38 Factorial
• 39 Factorial
• Factorial of 41
• Factorial of 42
• Factorial of 43
• Factorial of 44

A factorial is represented by an integer and an exclamation tag. In arithmetic, 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 get the "n" way pieces can be established .

To find the factorial of any given number, exchange the exact 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 replicated at the same time to find the factorial of the number.

We can also measure 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 :
40! Factorial = 40 x 39 x 38 x 37 x ... x 3 x 2 x 1 = 40 × 39! = 815915283247897734345611269596115894272000000000

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"

40 in French

40 in English

Factors of 40