Hi friend, The best way to memorize your multiplication facts is to simply STUDY. Its a pretty simple strategy but not many people actually study. Go thru flashcards daily as well as writing each fact down ten times each everyday. It may seem like a lot of work but it will benefit you in the near future :)
A few simple tricks i used were 1. Repeating them over and over 1 x 1 1 x 2 1 x 3 so on so forth 2. Using flashcards and maybe every 10 flashcards get a reward like candy or something. 3. Studying with a friend 4. making some sort of game of it