Question 72
Each positive integer $n$ is assigned a nonnegative integer $f(n)$ satisfying the following three rules:
i) $f(a b)=f(a)+f(b)$.
ii) $f(n)=0$ if $n$ is a prime greater than 10 dollars.$
iii) $f(1)\lt f(243)\lt f(2)\lt 11 dollars.
Given that $f(2106)\lt 11$, find the value of $f(96)$.
i) $f(a b)=f(a)+f(b)$.
ii) $f(n)=0$ if $n$ is a prime greater than 10 dollars.$
iii) $f(1)\lt f(243)\lt f(2)\lt 11 dollars.
Given that $f(2106)\lt 11$, find the value of $f(96)$.