If I set my iPad to factory settings will it automatically turn off Find my IPad?

No. Resetting the iPad, or restoring to factory settings, will not disable Find My iPad or the associated Activation Lock. Unless deliberately/manually disabled, both will remain active.

While active, you will need to enter your current AppleID and associated Password after the reset/restore process. This is theft prevention measure.

You only need to manually disable Find My iPad, prior to reset/restore, if you intend to setup the iPad with a different AppleID - such as when giving away the device to someone else, or when preparing for a repair.

No. You can't restore it with find my turned on. It will require you to toggle that off before you can restore.