K.V.P.Y 2016 question

Algebra Level 3

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

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

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