How do I name cloned objects inside a for-loop?

So I'm new C# (or any programming, for that matter) and I'm stuck. I've written a script that generates a 4x4 tile game board that uses a tile prefab I made. All that's working fine, and I even started playing around with the array I'll need, but I can't seem to figure out how to give each of the clones unique names, like tile00, tile01, tile02, etc. Any help would be greatly appreciated! I'll attach my code as a reference, feel free to point out any mistakes.

Thanks!

using UnityEngine; using System.Collections;

public class instantiateBoard : MonoBehaviour {

 public GameObject tile = null;
 public float rowPosition = 1.5f;
 public float colPosition = -1.5f;
 public int count = 1;
 public float[,] gameBoard = new float[4,4]; //New to arrays so I'm practicing generating values inside a for-loop
 public int rowCount = 0;
 public int colCount = 0;
 
 void Start () 
 {
     for (int count2 = 1; count2 < 5; count2++)
     {
         for (int count = 1; count <5; count++)
         {
             tile = Instantiate(Resources.Load("Prefabs/Cube"), new Vector3(colPosition,0,rowPosition), Quaternion.identity) as GameObject;
             name = ("tile" + rowCount + colCount);
             
             gameBoard[rowCount,colCount] = (rowPosition + colPosition);
             
             colPosition = (colPosition + 1f);
             colCount = (colCount + 1);
         }
         
         colPosition = -1.5f;
         rowPosition = (rowPosition - 1f);
         
         colCount = 0;
         rowCount++;
     }
 }

}