2025 Factor Tree Puzzle
Celebrate New Years and review factors, prime numbers, and divisibility with this free printable 2025 Factor Tree Puzzle.
![2025 Factor Tree Puzzle next to calculator and pencils.](https://mathequalslove.net/wp-content/uploads/2024/12/2025-factor-tree-puzzle-featured-image-1024x1024.jpg)
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.