Welcome to the 162nd edition of the Playful Math Education Blog Carnival — a smorgasbord of delectable tidbits of mathy fun. It’s like a free online magazine devoted to learning, teaching, and playing around with math from preschool to high school.

Bookmark this post, so you can take your time browsing.

There’s so much playful math to enjoy!

By tradition, we start the carnival with a puzzle/activity in honor of our 162nd edition. But if you’d rather jump straight to our featured blog posts, click here to see the Table of Contents.

## Try This Puzzle/Activity

The number 162 is a *palindromic product*:

162 = 3 x 3 x 2 x 3 x 3

and 162 = 9 x 2 x 9

- How would you define palindromic products?
- What other numbers can you find that are palindromic products?
- What do you notice about palindromic products?
- What questions can you ask?

Make a conjecture about palindromic products. (A *conjecture *is a statement you think might be true.)

Make another conjecture. How many can you make? Can you think of a way to investigate whether your conjectures are true or false?