What is repunit?

A repunit is just a number made entirely of ones, like 1, 11, 111, or even 11111.

Imagine you have a bunch of blocks, and each block has exactly one dot on it. If you stack them up:

• One block = 1
• Two blocks = 11
• Three blocks = 111

So a repunit is like stacking those blocks, all ones, no other numbers.

Repunits are fun because they're simple but can do surprising things in math. For example, if you divide some of them by certain numbers, you get neat patterns or even whole numbers! It's kind of like how a toy car goes straight when you push it on a smooth floor, easy and predictable.

You might not know it yet, but repunits are hiding in the world around you, maybe in your counting games or even in the way you count steps! A repunit is just a number made entirely of ones, like 1, 11, 111, or even 11111.