Problem 3075. Matrix of Multiplication Facts

This is James's daughter again, sneaking into his Cody account. Thanks to your help in my math class last year, I did great! But now they're giving me even harder problems. This time, they're giving me a 2x2 matrix of numbers, and asking me to make it a 3x3 matrix so the center numbers on each side multiply to the numbers in the corner. It's kinda hard to explain, so I'll just give you the example our teacher gave us in class.

The matrix we were given is:

 21   6
 35  10

The correct answer is:

 21  3   6
  7  0   2
 35  5  10
  • The two numbers touching the 21 are 7 and 3, and 7x3=21.
  • The two numbers touching the 35 are 7 and 5, and 7x5=35.
  • The two numbers touching the 6 are 2 and 3, and 2x3=6.
  • The two numbers touching the 10 are 2 and 5, and 2x5=10.

The zero in the middle doesn't really matter, so I don't care what number you put in there. Some of the problems might have more than one answer, but as long as the numbers multiply out correctly, it's a good answer. All of the numbers have to be integers, though. Thanks again for your help!

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29.68% Correct | 70.32% Incorrect
Last Solution submitted on Oct 07, 2019

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