Question 11
For each positive integer $n$, let $S(n)$ be the sum of its digits and $P(n)$ be the product of its digits.
For example, if $n=2025$,
$$S(2025)=2+0+2+5=9\quad\text{and}\quad P(2025)=2\times0\times2\times5=0.$$
List down all the possible three-digit numbers $n$ that satisfy $n=S(n)\times P(n)$.
For example, if $n=2025$,
$$S(2025)=2+0+2+5=9\quad\text{and}\quad P(2025)=2\times0\times2\times5=0.$$
List down all the possible three-digit numbers $n$ that satisfy $n=S(n)\times P(n)$.