Many of my sixth-graders do not know their math facts, nor do they have a desire to learn them. To develop an engaging way for kids to practice math facts and, consequently, learn those facts, I have designed a multiplication table using prime factorization diagrams:

Note the use of the commutative property; for example, compare 3 groups of 4 (3 x 4) with 4 groups of 3 (4 x 3).

PDF; both white and gray background

To be continued with a table made of student work; a format for students to follow to create these diagrams in Doceri; proper credit to Brent Yorgey.