About 12 years back I wrote a script to draw what I called “prime factorization trees”. I had recently discovered graphviz and it seemed interesting to combine prime factors with graphviz:

https://thebayesianobserver.wordpress.com/2012/10/07/factor-...

It served no purpose at the time.

I recently printed these pictures out to show my kid who has just learnt about primes / prime factors. The gleam in her eyes was priceless :-)