How about using sentence strips, 2 per digit. Then write the digit on one small sentence strip and the pattern to know if they will be divisible by that digit on the other sentence strip.
Mix them up and create a matching game.
As your students begin to know the rules, have a "Were You Correct?" game. Earlier in the day, have students cut out an individual set of matching divisibility rules. When the game begins everyone lays out the strips on top of their desk. At "Go" everyone works at matching their strips correctly with no time limit. Students stand up at their desk when they have matched all strips. Teacher begins calling out the correct matches. Students stay standing as long as their matches are correct,
sit when they have an error.