This is a unit that I used to teach a week long mini-lesson over divisibility rules. Each day we would spend 10 minutes learning a new rule. After the students understood the rule for the day we worked through some word problems pertaining to the rule itself.
Then on Friday the students did a fun activity which I have also included called divisibility crowns to show mastery of the concept.
This was a fast and easy way to teach the concepts for understanding.