$2000=2^{3}\times5^{3}$, the number of its factors would be $(4+1)(3+1)=20$, but $1$, $2$, and $5$ do not meet the condition. 
How many factors $2000$ that have more than $2$ factors are there? (As an example, $12$ has $6$ factors, namely $1$, $2$, $3$, $4$, $6$ and $12$. But $2$ and $3$ only two factors.) 
- $$13$$ 
- $$14$$ 
- $$15$$ 
- $$16$$ 
- $$17$$ 