Question

Write a program asking the user for an integer then find the lowest factor that is not a 2, 3, or 5. Hint: Use while or do-while with a flag. Think this way - you have found the answer when you find the lowest factor that is not divisible by 2, 3, or 5 (hint: %) but the number % factor = zero. Start factor at 2 then increment until the answer is found, then change the flag to stop the loop.****PLEASE USE DO WHILE OR WHILE LOOP AND A FLAG

Answer 1

As per the question, the code has to find the lowest factor which is not 2 or 3 or 5 and by that code the lowest factor of 28 is 4 but as the hint says find the lowest factor which is not divisible by 2 or 3 or 5 and by that code the lowest factor of 28 is 7.
So I have sent you both the codes, so that you choose the code which ever you want.
To find the factors of a user defined number, a loop is used in which a number is generated from 2 to the user defined number whose factor has to be find, and in the loop the user defined number is check whether it is divisible by generated number or not, if it is divisible then the generated number is the factor of the user defined number.

CODE AS PER THE QUESTION (find the lowest factor that is not a 2, 3, or 5):
import java.util.Scanner;
public class Main
{
   public static void main(String[] args) {
       Scanner input = new Scanner(System.in);
       System.out.print("Enter an integer: ");
int number = input.nextInt();
int factor = 2;
//flag is set to 0
int flag = 0;
int lowestfactor = 0;
do{
//factor that is not a 2, 3, or 5
if (factor != 2 && factor != 3 && factor != 5){
if (number % factor == 0){
//lowestfactor will be equal to factor
lowestfactor = factor;
//flag is changed so that loop stops
flag = flag+1;
}
}
factor = factor + 1;
}
while(flag==0);
System.out.print("Lowest factor of "+number+" is "+ lowestfactor);
   }
}
OUTPUT:

CODE AS PER THE HINT (find the lowest factor that is not divisible by 2, 3, or 5):
import java.util.Scanner;
public class Main
{
   public static void main(String[] args) {
       Scanner input = new Scanner(System.in);
       System.out.print("Enter an integer: ");
int number = input.nextInt();
int factor = 2;
//flag is set to 0
int flag = 0;
int lowestfactor = 0;
do{
if (number % factor == 0){
//factor that is not divisible by 2, 3, or 5
if (factor % 2 != 0 && factor % 3 != 0 && factor % 5 != 0){
//lowestfactor will be equal to factor
lowestfactor = factor;
//flag is changed so that loop stops
flag = flag+1;
}
}
factor = factor + 1;
}
while(flag==0 && factor<=number);
System.out.print("Lowest factor of "+number+" is "+ lowestfactor);
   }
}

OUTPUT: