Candy and Candice were asked to choose between $6$ cards with one of the numbers $6$, $12$, $35$, $175$, $245$ and $300$ written on each card. Every card has a different number. Candy chose $2$ cards and Candice chose $3$ cards. The product of each girl\textquotesingle s selected cards were equal. Which number was not picked? 
Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization