divisibility program in java - two issues need corrected - explanation below

Question

I have written the program however I have two problems :

1. I do not want the counter i to go from 1 to x because then it would try the divisibility test for every number less than the actual user input. I need it to start i from 2 and go until 12 so that you try the test for 2-12 only.

2. The divisibility test is correct and it works for every number but that's not whats asked in the program description. I need to implement the mentioned algorithms for each divisibility test. (which i have researched but am not sure how to do it) this simplified program that i have makes more sense - just a place to start would be helpful

(NOTE: cannot use % modulus operator)

Div by 2 The last digit is even (0,2,4,6,8) Ex: 128 is 129 is not Div by 3 The sum of the digits is divisible by 3 Ex:381 (3+8+1=12, and 12÷3 = 4) Yes 217 (2+1+7=10, and 10÷3 = 3 1/3) No Div by 4 The last 2 digits are divisible by 4 Ex: 1312 is (12÷4=3) 7019 is not 5 The last digit is 0 or 5 175 is 809 is not Div by 6 (Note: You may do six as a separate user-defined function or use 2 and 3’s functions) The number is divisible by both 2 and 3 Ex: 114 (it is even, and 1+1+4=6 and 6÷3 = 2) Yes 308 (it is even, but 3+0+8=11 and 11÷3 = 3 2/3) No

There is more but again - just a place to start or link that has some useful info would be appreciated. Thank you

import java.io.PrintStream;
import java.util.Scanner;

public class rwsFinalExam
{
    public static void main(String [] args)
    {
        Scanner scanner = new Scanner( System.in ); 
                     //allows input from concole
        PrintStream out = System.out;               
                    //assigning System.out to PrintStream

        out.print( "Input a valid whole number: " ); 
                    //ouput directions for end user to enter a whole number

        String input = scanner.next();  //holds end user input
        int number;                     //data type and variable 

        try 
        {
            number = Integer.parseInt(input);   
                  //assinging value to number 
                  //integer.parseInt method converts string to int
        }
        catch (Exception e)
        {
            out.println(input + " is not a valid number");
            return;
        }

        if (number < 0)
        {
            out.println(number + " is not a valid number");
            return;
        }

        printDivisors(number);
    }

    private static void printDivisors(int x)
    {
        PrintStream out = System.out;
        for (int i=1; i<x; i++) 
        {
            if (isDivisibleBy(x, i)) //checking divisibility 
            {
                out.println(x + " is divisible by " + i); 
                     //output when value is divisible 
            }
            else
            {
                out.println(x + " is not divisible by " + i); 
                     //output when value not divisible
            }//end if else
        }//end for
    }//end private static

    private static Boolean isDivisibleBy(int x, int divisor)
    {
        while (x > 0)
        {
            x -= divisor;
            if (x == 0)
            {
                return true;
            }
        }
        return false;
    }//end
}//end class rwsFinalExam

Answer 1

The first thing you should do is get the digits in an array.

 private static Boolean isDivisibleBy(int x, int divisor)
{
    char[]b=String.valueOf(x).toCharArray();
    //Store all your digits as characters
    int[]no= new int[b.length];
    for (int i=0;i<b.length;i++)
       no[i]=Integer.parseInt(String.valueOf(b[i]));
    //Now no contains all your integers as an array 
    if(divisor==2)
           return isDivisibleBy2(no);
    else if(divisor==3)
           return isDivisibleBy3(no);
    else if(divisor==4)
           return isDivisibleBy4(no);
    //...................
    else return false;
}

Then for each test write a method like so for 2:

private static Boolean isDivisibleBy2(int[] x){
         int lastDigit=x[x.length-1];
         if(lastDigit==0 || lastDigit==2 || lastDigit==4 || lastDigit==6 || lastDigit==8)
           return true;
        else
           return false;
}

Anyway you'll have to write similar code for each test.