How Many Rectangles Can You Build With a Prime Number of Square Tiles?
Last Updated Mar 29, 2020 11:44:37 AM ET
Assuming orientation doesn't matter, the number of rectangles that can be made from any particular prime number of square tiles is one. Prime numbers are only divisible by one and themselves, so there is only one possible way of laying out tiles in a rectangular formation.
A rectangle made from 13 tiles, for example, would have the dimensions 13 by 1. This way of making rectangles could lead to some very long, very skinny rectangles, but even an array many millions of tiles long would still have a width equal to one tile and be a valid rectangle. Composite numbers have at least three factors including one and themselves, so at least two distinct rectangular arrays must be possible for any composite number.
More From Reference

How the COVID-19 Pandemic Has Changed Workplaces in Lasting Ways

How to Use Quizlet Live for Virtual Learning

What Is the Lincoln Project — and Why Will It Matter Post-Election?

What Features Does Infinite Campus Offer for Students?

Stay Up-to-Date in 2021 With These Custom Photo Calendar Ideas

How to Change Your Mailing Address Online