# C++ Program To Calculate Factorial of a Number Using Recursion

The factorial of a positive number is the product of all the integer numbers from 1 up to that particular number say n.

Let us take an example, the factorial of a number 5 is the product of all numbers from 1 to the number itself as 1*2*3*4*5 = 120.

Factorial can be defined for Positive Intergers only.

There is no factorial of Negative numbers.

The factorial of 0 is 1.

## C++ Program of Factorial Using Recursion

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```#include<iostream>
using namespace std;

int factorial(int n);

int main()
{
int n;

cout << "Enter a positive integer: ";
cin >> n;

cout << "Factorial of " << n << " = " << factorial(n);

return 0;
}

int factorial(int n)
{
if(n > 1)
return n * factorial(n - 1);
else
return 1;
}
```Code language: PHP (php)```

Output Of Above Program

```Enter an positive integer: 6
Factorial of 6 = 720```