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What is Factorial of a number?

The product of all positive descending integers is the factorial of n. n! represents the factorial of n. As an example:

4! = 4*3*2*1 = 24 
6! = 6*5*4*3*2*1 = 720
that is,

n! = n * (n – 1)!
n! = 1 if n = 0 or n = 1

4! is pronounced “4 factorial” in this context, and it is also known as “4 bang” or “4 shriek.”

The factorial is typically used in Combinations and Permutations (mathematics).

Program Code:

#include <iostream>
using namespace std;
int fact(int n) // Function to find factorial
                 // of given number
{
   if ((n==0)||(n==1))
   return 1;
   else
   return n*fact(n-1);
}
int main()
{
   int n ;
   cin>> n;
   cout<<"Factorial of "<<n<<" is "<<fact(n);
   return 0;
}

Output:

8
Factorial of 8 is 40320

Note: also read about Program to Find GCD

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