In Java, write this program.

This Ternary Base 3 program takes a positive integer that is inputted from the user and converted into ternary base 3. Write a decimal to a ternary converter. Assume the user enters a positive integer no bigger than 666. Read it and display the base-3 equivalent. (It will be helpful in the next program if you have somehow saved the digits, rather than simply calculating and printing them.)

0	0
1	1
2	2
3	10
27	1000

this is what I got so far. I'm not sure if it is in the right direction or not.

import java.util.Scanner;

public class Ternary_Based {

public static void main(String[] args) {

Scanner sc = new Scanner(System.in);

int TernaryAnswer = 0;

int input;

System.out.println("Enter input: ");

input = sc.nextInt();

sc.close();

while (input > 0) {

int factor = 1;

TernaryAnswer += input % 3 * factor;

input /= 3;

factor *= 10;

}

System.out.println(TernaryAnswer);

}

}