prime factorization of factorials using C

Sure! Here is an example of how you can calculate the prime factorization of factorials using C:

#include <stdio.h>

void primeFactorization(int n) {
    int i, count;

    for (i = 2; i <= n; i++) {
        count = 0;
        while (n % i == 0) {
            count++;
            n /= i;
        }
        if (count > 0) {
            printf("%d^%d ", i, count);
        }
    }
    printf("\n");
}

int main() {
    int num;

    printf("Enter a number: ");
    scanf("%d", &num);

    printf("Prime factorization of %d! : ", num);
    primeFactorization(num);

    return 0;
}

This code defines a function primeFactorization that takes an integer n as input. Within the function, it uses a for loop to iterate from 2 to n. For each number i in the loop, it checks if n is divisible by i. If it is, it divides n by i and increments a count variable to keep track of how many times i divides n.

After the loop, if the count for a particular i is greater than 0, it means that i is a prime factor of the factorial. The code prints the prime factorization in the format prime^exponent.

In the main function, the code prompts the user to enter a number and then calls the primeFactorization function to calculate and print the prime factorization of the factorial of that number.

I hope this code helps! Let me know if you have any further questions.