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.
Puzzle Solutions
I intentionally do not make answers to the printable puzzles and math activities 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 sarah@mathequalslove.net with information about what you teach and where you teach. I will be happy to forward an answer key to you.
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, as fun activities in their workplace, or as a birthday party escape room.