Does Paris shop open on X'mas Eve and X'mas? close time?

There is normally no shops will open on 24 to 26 December. Of course some restaurant and food store will still open, but for shopping, there is nothing you can do. They will only resume normal working on 27 December after the Christmas holiday.
Shops will close but some of the famous tourist spots will not close and travel tour can arrange visit to those places during holiday. For example, La Tour Eiffel will still open during X'mas.
Christmas is always not a good time for travelling in European countries because it's the biggest festival for European. If you plan to travel Europe during Christmas time, you have to search for some information that which tourist spots will open during the holiday. For shopping, it's almost no hope !!
There is no factory outlet inside Paris city, you can find one outlet near Paris Disneyland.