A Multiplication Based Logic Puzzle

177 and Level 4

177 is a composite number.
Factor pairs: 177 = 1 x 177, 3 x 59
Factors of 177: 1, 3, 59, 177
Prime factorization: 177 = 3 x 59

Here is a magic square made entirely of prime numbers:

prime magic square

What number do you get when you add up the numbers of any one of its rows, columns, or diagonals?

According to wikipedia, you can’t get a smaller magic sum than 177 when all the numbers in the magic square are prime numbers.



2014-28 Level 4

Excel file of puzzles and previous week’s factor solutions: 12 Factors 2014-07-14

2014-28 Level 4 Logic


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