math jokes 4 mathy folks
 live. laugh. learn.
Multiplication Table

Replace the variables a, b, c, d, and e in the multiplication table below with the numbers 2, 3, 5, 7, and 11. Complete the table by finding the product for each of the six rectangles, and then calculate the sum of the six products.

You can use the Multiplication Array Spreadsheet to explore this problem.

This problem, plus two others, as well as the spatial multiplication table, can be found on the Spatial Multiplication PDF.

What is the maximum possible value for the sum of the six products?

Professor Harold Reiter

I've never met an individual who enjoys solving math problems — or who is better at solving problems — than Harold Reiter. The number of napkins that we've covered with numbers and other math scribbles while discussing a problem over drinks or dinner is uncountable.

The inspiration for the Multiplication Table problem on this page comes from Dr. Reiter.