2025 Factor Tree Puzzle
Celebrate New Years and review factors, prime numbers, and divisibility with this free printable 2025 Factor Tree Puzzle.
Looking for more 2025 fun? Here are links to all of my 2025 resources!
What are Factor Tree Puzzles?
I first learned about factor tree puzzles in 2018 when I attended a Math Teachers’ Circle Summer Workshop with Dr. Harold Reiter.
In Dr. Reiter’s version of these puzzles, each variable stands for a unique digit. You must determine the values for each digit so that the numbers form a valid factor tree where all circled numbers are prime.
These puzzles, while fun, are VERY CHALLENGING because you do not even know the starting number of the factor tree. I decided to make an easier version of these puzzles to help celebrate the new calendar year: 2025!
2025 Factor Tree Puzzle Instructions
For this 2025 Factor Tree Puzzle, you must find the missing values to create a valid factor tree for 2025. Each variable stands for a unique digit. Circled numbers are prime.
Free Download of 2025 Factor Tree Puzzle Worksheet
This 2025 Factor Tree Puzzle Worksheet is available to download as a PDF and as an editable PowerPoint file.
Click here to Download
2025 Factor Tree Puzzle (PDF)
2224 downloads – 34.86 KB
Click here to Download
2025 Factor Tree Puzzle (PPT in ZIP)
920 downloads – 121.24 KB
Puzzle Solutions
Puzzle solutions are available on a password-protected solution page. I do not openly post the puzzle answer keys because one of my goals as a resource creator is to craft learning experiences for students that are non-google-able. I want teachers to be able to use these puzzles in their classrooms without the solutions being found easily on the Internet.
Please email me at sarah@mathequalslove.net for the password to the answer key database featuring all of my printable puzzles and math worksheets. I frequently have students emailing me for the answer key, so please specify in your email what school you teach at and what subjects you teach. If you do not provide these details, I will not be able to send you the password.
Not a teacher? Go ahead and send me an email as well. Just let me know what you are using the puzzles for. I am continually in awe of how many people are using these puzzles with scouting groups, with senior adults battling dementia, or as fun activities in their workplace. Just give me enough details so I know you are not a student looking for answers to the puzzle that was assigned as their homework!
