How many positive factors of $$144$$ are also multiples of $$4$$? 
Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples
$$144={{2}^{4}}\times {{3}^{2}}=4\times2^{2}\times {{3}^{2}}$$. Among them, there are $$\left( 2+1 \right)\times (2+1)=9$$ factors which has $$4$$ as its factor. 