Students are introduced to each number as a "character." For example, the number seven is Mrs. Weeks because there are seven days in a week. Once students learn the number characters, they learn short, simple stories where the numbers interact in some fashion. Students simply picture two number characters together to recall the story, which includes the answer to the multiplication fact. It's amazing how much easier it is for students to recall a simple story, than an abstract fact!
Once they know the multiplication facts, they'll also automatically know the division facts! All they have to do is picture the story and note which character is missing.