The Math Less Traveled has followed up the factorization diagrams post — rendering visually the integers multiplied together to get an integer — of a month ago with an expansion of the idea. This version includes not just arranging points into regular polygons, and polygons of polygons, but into colored polygons.

At least some of these charts, or charts inspired by them, belong on classroom walls.

My post on factorization diagrams from a month ago turned out to be (unexpectedly) quite popular! I got ten times as many hits as usual the day it was published, and since then quite a few other people have created their own variations. The purpose of this post is twofold: first, to round up links to a bunch of the variations, and second, to show off some *new and improved* factorization diagrams!

I should mention a couple of my inspirations: first, the book You Can Count on Monsters does something similar, though it takes a more artistic and representational approach, in contrast to my strictly geometric approach. My other inspiration was Sondra Eklund’s super-cool prime factorization sweater (and other prime factorization visualizations) which uses a different color to represent each prime.

Not long after I published my original factorization diagrams post, the Internet got right to work creating the…

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