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Program is to calculate the prime factorization, the prime factorization theorem

ID: 3581446 • Letter: P

Question

Program is to calculate the prime factorization, the prime factorization theorem states that every positive integer is uniquely factorable into a product of prime numbers. The below code is set to calculate only for the number 40. Please alter code to ask the user to enter a number, then take that number and calculate the prime factorization.

import java.util.*;

public class PrimeFactorization {

public static void main(String[] args) {

ArrayList<Integer> factors = new ArrayList<>();

// adding 1 in list
factors.add(1);

int s = 2;

int num = 40;

int n = num;

// loop till divisors is less than dividend
while (s <= n) {

// divide n by s till it is divisible
while (n != 1 && n % s == 0) {

factors.add(s);

n = n / s;

}

s = s + 1;

}

factors.add(num); // adding number itself in list

System.out.println(factors);

// finding factors
for (int i = 1; i <= num; i++) {

if (num % i == 0) {
System.out.print(i + " ");
}

}

System.out.println();

}

}

Explanation / Answer

import java.util.*;
public class PrimeFactorization {
public static void main(String[] args) {
ArrayList<Integer> factors = new ArrayList<>();
// adding 1 in list
factors.add(1);
int s = 2;
System.out.print("Enter a positive interger:");
Scanner scan = new Scanner(System.in);
int num = scan.nextInt();
int n = num;
// loop till divisors is less than dividend
while (s <= n) {
// divide n by s till it is divisible
while (n != 1 && n % s == 0) {
factors.add(s);
n = n / s;
}
s = s + 1;
}
factors.add(num); // adding number itself in list
//System.out.println(factors);
// finding factors
for (int i = 1; i <= num; i++) {
if (num % i == 0) {
System.out.print(i + " ");
}
}
System.out.println();
}
}

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