The problem is as follows
If $A = 9n$ and $B = 8n$ where $n$ is a positive integer, which one has a greater number of distinct prime factors ?
According to the answer, we cannot tell. However, I am not totally convinced because I don't know exactly how many distinct prime factors there are in the first place.
For $A$, I am not sure if I am supposed to think 3 as one prime factor or $3*3$ as two factors. I want to say that there is only one prime factor that has to do with $9$.
I understand that $n$ can have multiple prime factors, but I don't think that matters because $B$ also has $n$ in it, so I disregarded it (I am suspecting that this is the reason I got it wrong).
For $B$, if $8 = 2*2*2$ considered as having one distinct prime factor, then the number of distinct prime factor would be one, thus I concluded that $A$ and $B$ has the same number of distinct prime factors...
What am I missing here ?