Setting Id Attribute In Subclass

I have a superclass where I create a "div" element as a property and then proceed to try and set the element's "id" attribute in a subclass. Interestingly, if I create multiple instances of the subclass with different "id"s, they all end up having the last "id" I specify. I would like it if they retain the individual "id" I specify. Here is the code.

function Drag() {
this.ele = document.createElement("div"); }
function Icon(id) {
this.ele.id = id; }
Icon.prototype = new Drag();
var hello = new Icon("hello");
var goodbye = new Icon("goodbye");