I have a Mac mini Model # A1347. How can I tell what year that is?

There are 16 different models in that category. 2010 to 2014

see > https://everymac.com/ultimate-mac-lookup/?search_keywords=a1347

If it is running follow muguy’s directions.

If it is not running, you can enter the serial number in the Everyman.com link above to find out what year model it is.

Go to the Apple menu and select "about this Mac."