K.V.P.Y 2016 question

Algebra Level 3

A function \(f : \mathbb {N \to N}\) satisfies \(f(xy) = f(x) + f(y)\), \(f(12) = 24\) and \(f(8) = 15\) for all \(x, y \in \mathbb N\).

Find the value of \(f(48)\).