# C Exercises: Print all prime factors of a given number

## C Programming Mathematics: Exercise-25 with Solution

Write a C program to print all prime factors of a given number.

Example:

Input: n = 75

Output: All prime factors of 75 are: 3 5 5

**Visual Presentation:**

**Sample Solution:**

**C Code:**

```
#include <stdio.h>
#include <stdlib.h>
// Main function
int main(void) {
// Declare and initialize the variable 'n' to find its prime factors
int n = 75; // The number for which prime factors are to be found
printf("All prime factors of %d are: ", n); // Display the original number
// Check if the number 'n' is greater than 0 before finding its prime factors
if (n > 0) {
// Extract all the factors of 2
while (n % 2 == 0) {
printf("2 "); // Print '2' as a prime factor
n /= 2; // Divide 'n' by 2
}
// Check for odd factors starting from 3
for (int i = 3; i <= sqrt(n); i += 2) {
// Check if 'i' is a factor of 'n'
while (n % i == 0) {
printf("%d ", i); // Print 'i' as a prime factor
n /= i; // Divide 'n' by 'i'
}
}
// If 'n' is greater than 2 and has a prime factor > sqrt(n)
if (n > 2) {
printf("%d ", n); // Print 'n' as a prime factor
}
}
return 0; // End of the main function
}
```

Sample Output:

All prime factors of 75 are: 3 5 5

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