How to check if number is divisible by a certain number?

n % x == 0

Means that n can be divided by x. So... for instance, in your case:

boolean isDivisibleBy20 = number % 20 == 0;

Also, if you want to check whether a number is even or odd (whether it is divisible by 2 or not), you can use a bitwise operator:

boolean even = (number & 1) == 0;
boolean odd  = (number & 1) != 0;

package lecture3;

import java.util.Scanner;

public class divisibleBy2and5 {

    public static void main(String[] args) {
        // TODO Auto-generated method stub
        System.out.println("Enter an integer number:");
        Scanner input = new Scanner(System.in);
        int x;
        x = input.nextInt();
         if (x % 2==0){
             System.out.println("The integer number you entered is divisible by 2");
         }
         else{
             System.out.println("The integer number you entered is not divisible by 2");
             if(x % 5==0){
                 System.out.println("The integer number you entered is divisible by 5");
             } 
             else{
                 System.out.println("The interger number you entered is not divisible by 5");
             }
        }

    }
}