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Power of Multiplication (Posted on 2004-07-16) Difficulty: 2 of 5
A (normal) magic square, containing 9 distinct positive integers, could be made as follows:
2 9 4
7 5 3
6 1 8
Note all rows/columns/diagonals sum to 15.

Can you find the "smallest" multiplication magic square using 9 distinct positive integers where the product of all rows/columns/diagonals are equal?

(One multiplication magic square is smaller than another if its magic product is less than the other's.)

No Solution Yet Submitted by red_sox_fan_032003    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution | Comment 1 of 6

At least I think this is the "smallest"...

 2  36   3
9 6 4
12 1 18

All rows, columns, and diagonals multiply to 216. 

I did have a little help from the computer but only to find numbers that had at least 8 unique sets of 3 factors. (there's a bunch of them!)

Edited on July 16, 2004, 11:04 am
  Posted by Sing4TheDay on 2004-07-16 11:03:40

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