These are all great options, but instead of having to try to move everything around and try funny changes (although the layout mode isn't really funny, and a good suggestion William), you can just do the following:
Login with an Admin Account
Hover over your admin menu
Go to Page Management
Select the page from Treeview
expand the 'Modules' dropdown that iwll be in the right-pane
click the red-X to remove the module you no longer want on the page.
If you want to maintain the content you can just click on the edit icon (pencil with paper).
I know there are other great ideas here, this is just yet another option and I think likely the quickest method available.
Make It A Great Day!
D-Man