The factorial of a positive number `n` is given by:

```
factorial of n (n!) = 1 * 2 * 3 * 4....n
```

The factorial of a negative number doesn't exist. And, the factorial of 0 is
1.` `

## Factorial of a Number

```
#include <stdio.h>
int main() {
int n, i;
unsigned long long fact = 1;
printf("Enter an integer: ");
scanf("%d", &n);
// shows error if the user enters a negative integer
if (n < 0)
printf("Error! Factorial of a negative number doesn't exist.");
else {
for (i = 1; i <= n; ++i) {
fact *= i;
}
printf("Factorial of %d = %llu", n, fact);
}
return 0;
}
```

**Output **

Enter an integer: 10 Factorial of 10 = 3628800

This program takes a positive integer from the user and computes the factorial
using `for`

loop.

Since the factorial of a number may be very large, the type of factorial
variable is declared as `unsigned long long`

.

If the user enters a negative number, the program displays a custom error message.

You can also find the factorial of a number using recursion.