Yesterday, I shared about all the amazing things I learned/experienced as part of the Tulsa Math Teachers’ Circle Summer Immersion Workshop. As part of that post, I mentioned that I had created some factor tree puzzles after being inspired by the puzzles shared by Dr. Harold Reiter and the puzzle created by one of the other participants.
These puzzles involve a factor tree in which each terminating leg of the tree represents a prime number. Each variable represents a unique digit. So, if a is equal to five, then b cannot be equal to five.
I really enjoyed solving the puzzle created by another teacher in our group, so I decided I should try my hand at creating my own puzzles.
Here are the four puzzles I ended up creating myself. In all honesty, I created way more than four puzzles. But, many of the puzzles I created turned out to have multiple solutions or mistakes. These four puzzles have been verified by both my husband and myself to have only one solution.
I decided to place circles around the prime numbers to further clarify the puzzles.
The difficulty level definitely increases as the puzzle number increases. Puzzle 1 is the easiest. Puzzles 2 and 3 are trickier. And, Puzzle 4 is a beast. It took two people with math degrees a very long time to verify that there was one solution. So, I would NOT recommend giving puzzle 4 to students. Unless of course, there’s some logical step that makes solving it much easier than the route my husband and I ended up taking!
Free Download of Factor Tree Puzzles
I hope you enjoy trying your hand at this new-to-me type of puzzle!
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 firstname.lastname@example.org with information about what you teach and where you teach. I will be happy to forward an answer key to you.
More Printable Paper and Pencil Logic Puzzles
- Sixes Number Challenge
- 3-1-4 Pi Day Number Challenge
- Sankaku Puzzles
- Strimko Puzzles in the Classroom
- Square Sudokus
- Make It Pythagorean Puzzles
- Number Ball Puzzles by Naoki Inaba
- Hidato Puzzles
- Step Puzzles by Naoki Inaba – A Logic Puzzle for Introducing Arithmetic Sequences
- Kazu Sagashi Puzzles from Naoki Inaba
- Factor Tree Puzzles Inspired by Dr. Harold Reiter
- Strimko Logic Puzzles Review
- Tents and Trees Puzzles
- Slants Puzzles
- Angle Mazes by Naoki Inaba
- Zukei Puzzles
- Japanese Logic Puzzles for the Secondary Math Classroom
- Area Maze Puzzles from Naoki Inaba
- Masyu Puzzles
- KenKen In The Classroom
- Futoshiki Puzzles
- Hashi Puzzles
- Shikaku Puzzles
- Nonogram Puzzles
- Digit Cells Puzzle