Question 37499: Suppose the numbers 1,2,4,8,16,32,64,128,and 256 are placed into the squares in a 3x3 grid in such a way that each of the 9 numbers appears exactly once and the product of the numbers appear exactly once and the product of the numbers appearing in any row or column is the same. What is the value of the product in each row and column?
Answer by fractalier(2101)   (Show Source):
You can put this solution on YOUR website!Good problem.
I did it by recognizing that they were all powers of two and that exponents add...so we are looking for a standard magic square for the number 0 thru 8, since 1, 2, ..., 256 are the numbers 2^0 thru 2^8...
The numbers are
128, 4, 8
1, 16, 256
32, 64, 2
Each row, column and diagonal's product is 2^12 or 4096.
Good problem.
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