Skip to Content

Divisibility Puzzle

Put your knowledge of divisibility to the test with this fun divisibility puzzle that involves placing the digits 0-9 in the missing spaces.

While my students have been studying for and taking their semester tests, I have been doing a mix of cleaning my classroom, starting on organizing digital resources for next school year, and plying with the idea of making some new puzzles.

The idea for this divisibility puzzle has been rattling around my head for a few months now. It was inspired by the Open Middle style of puzzles involving the digits from 0-9.

This specific puzzle has absolutely nothing to do with the content I currently teach as an advanced high school math teacher, but I think it still makes for a fun math logic puzzle for my students to work through.

It’s too late to use it with my students this year, but I will be laminating it and getting it ready for next year!

Puzzle Instructions

Place the digits 0-9 in each space to make ten true statements involving divisibility rules. Use each digit exactly one time.

divisibility rules puzzle.

If your students need a visual reminder of the different divisibility rules, I have a printable divisibility rules chart that might be useful.

divisibility rules printable chart pdf.

Two Versions of Puzzle

I actually ended up making two slightly different versions of the divisibility rules puzzle. One version is meant to be printed off either as a worksheet or slid inside a dry erase pocket so it can be written on with a dry erase marker.

There are boxes along the top of the paper so students can cross off the digits from 0-9 as they use each digit.

divisibility puzzle with moveable pieces.

The second version of the puzzle is meant to be used with small cut-out pieces with the digits 0-9 written on them. Some students really benefit from having the printed number tiles that can be manipulated and moved around while solving the puzzle.

Divisibility Puzzle blank.
Divisibility Puzzle Pieces with digits 0-9 printed.

When I put this puzzle out in my classroom next year for our puzzle of the week, I will definitely be using this version with the movable pieces. I find my students are much more willing to try to solve a puzzle that has pieces which can be manipulated.

Puzzle Solutions

I intentionally do not make answers to the printable math puzzles I share on my blog available online because I strive to provide learning experiences for my students that are non-google-able. I would like other teachers to be able to use these puzzles in their classrooms as well without the solutions being easily found on the Internet.

However, I do recognize that us teachers are busy people and sometimes need to quickly reference an answer key to see if a student has solved a puzzle correctly or to see if they have interpreted the instructions properly.

If you are a teacher who is using these puzzles in your classroom, please send me an email at with information about what you teach and where you teach. I will be happy to forward an answer key to you.