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.