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1. Introduction
The Factorial of a non-negative integer n, denoted by n! is the product of all positive integers less than or equal to n. Recursion offers a direct approach to compute factorials. This post presents a C program to calculate the factorial of a number using recursion.
2. Program Overview
The steps of the program are:
1. Define a recursive function to compute the factorial of a given number.
2. Get user input for the desired number.
3. Compute and display the factorial using the recursive function.
3. Code Program
#include <stdio.h>
// Recursive function to find factorial of a number
long long factorial(int n) {
if (n == 0) // Base condition
return 1;
else
return n * factorial(n - 1); // Recursive call
}
int main() {
int num;
// Asking user for input
printf("Enter a non-negative integer: ");
scanf("%d", &num);
// Ensuring the entered number is non-negative
if(num < 0) {
printf("Please input a non-negative integer.\n");
return 1;
}
// Displaying the factorial
printf("Factorial of %d = %lld\n", num, factorial(num));
return 0;
}
Output:
Given the input of 5, the output will be: Factorial of 5 = 120
4. Step By Step Explanation
1. Recursive Function: The function factorial computes the factorial of an integer.
- When n is 0, it returns 1 (base case).
- For other values of n, it multiplies n with the result of a recursive call for n-1.
2. Main Function: This function initiates by asking the user to provide a non-negative integer.
3. Validation: If the user enters a negative number, the program prompts to input a non-negative integer.
4. Calculation & Output: The factorial is then determined using our recursive function, and the result is presented to the user.
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