findFactorsNumber()

Step 1: Understand the Problem

The first step in solving this problem is to understand what we are trying to achieve. We need to find all the factors of a given number. In other words, we are attempting to find all numbers which divide evenly into our input number, without leaving a remainder. This is a common task in programming and mathematics, and can be solved using a simple for loop in java.

Step 2: Initialize an ArrayList

To store the factors of the number, we will use an ArrayList. An ArrayList in Java is like an array but it provides us with more flexibility in terms of storage.

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

Step 3: Implement the Logic

Now, we will loop through all numbers from 1 to the given number, and check if the number is a factor. If a number divides evenly into our input, we add it to our factors list.

for (int i=1; i<=num; i++){
   if (num % i == 0){
      factors.add(i);
   }
}

Step 4: Create a Method

To make our implementation neat and reusable, it's ideal to put our code in a separate method named findFactors. The method returns an ArrayList and takes an integer as input.

public ArrayList<Integer> findFactors(int num){
   ArrayList<Integer> factors = new ArrayList<Integer>();
   for (int i=1; i<=num; i++){
      if (num % i == 0){
         factors.add(i);
      }
   }
   return factors;
}

Conclusion

With these steps, we should be able to find all the factors of a given number. The full implementation in Java is as follows:

import java.util.ArrayList;

public class Main{

   public static void main(String args[]){
      ArrayList<Integer> factors = findFactors(12);
      for(int factor: factors){
         System.out.print(factor + " ");
      }
   }

   public static ArrayList<Integer> findFactors(int num){
      ArrayList<Integer> factors = new ArrayList<Integer>();
      for (int i=1; i<=num; i++){
         if (num % i == 0){
            factors.add(i);
         }
      }
      return factors;
   }
}

This script will print all the factors of the number 12. You can replace 12 with any number you want to find the factors of.