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359 and Level 2

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When 2^359 is divided by 359, the remainder is 2, so 359 is VERY LIKELY a prime number. Scroll down past the puzzle to know for sure.

Print the puzzles or type the factors on this excel file: 10 Factors 2015-01-19

How do we know that 359 is a prime number? If 359 were not a prime number, then it would be divisible by at least one prime number less than or equal to √359 ≈ 18.947. Since 359 cannot be divided evenly by 2, 3, 5, 7, 11, 13, or 17, we know that 359 is a prime number.

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