At a higher level, it is "prime_factors(n)", no? The Shor's part could be said as a smaller part, but it is still doing something we have named.

Again, though, these programs are not to write an algorithm in quantum code. These are to understand the building blocks of a quantum computer. Just as a BDD/ZDD can be used to find optimal gate designs of an added built on boolean chains. You first have to understand the boolean chains.