The best way to memorize information for mathematics and music is to put the two together and use music to teach mathematics basics. Even better news – you can use your body to make rhythm in step and movement – and that’s dancing!
Before one can learn the multiplication tables, he or she must know how to count by numbers 2, 3, 4, 5, and 10
Here are some links for counting by 2s, 3s, 4s and 5s.  These videos were made by Have Fun Teaching and you can find them on YouTube! 😉
Once the student can easily count by numbers, multiplication tables become a breeze.
Sing and dance to these songs over and over again until the student can accomplish them without error.
 
Count by Twos
Count by Threes Song
Count by Fours Song
Count by Fives Song