I have made these posters to use in the classroom! Students often have to quickly figure out if a product is divisible by a number. These rules will help them succeed!
I would use these rules daily by giving the students a number up to the millions, asking them which numbers are factors 2-12, and we have a discussion on which rules proved our answers.
Another use would be in centers. A student can practice their divisibility rules by challenging each other in a center. Roll 6 dice, and create a number. Then, find the numbers that are divisible.