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Latin Multiplication

Age 11 to 14 Short Challenge Level:
 

I choose three numbers from this number square, including one number from each row and one number from each column. I then multiply the three numbers together. What is the largest possible product?



If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.

 
This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.