The teacher wrote the numbers $$1～13$$ on $$13$$ separate pieces of paper. She randomly picked $$9$$ of them and stuck one on each of the foreheads of $$9$$ students. The students are able to see the numbers of the other $$8$$ students but are unable to look at their own number.  Teacher: Students that know the number of different factors your number has, please put up your hand.  *Two students put up their hands.*  Alice: Although I do not know my own number, but I do know that it is an odd number.  May: My number is smaller than Alice\textquotesingle s by $$2$$ and bigger than Mark\textquotesingle s by $$1$$.  What is the product of the four numbers that were not picked?~\uline{~~~~~~~~~~}~ 
Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Word Problems Involving Comparing and Ordering