A Multiplication Based Logic Puzzle

521 and Level 6

521 = 20^2 + 11^2, and 521  is the hypotenuse of the primitive Pythagorean triple 279-440-521.

521 Puzzle

Print the puzzles or type the solution on this excel file: 10 Factors 2015-06-08

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  • 521 is a prime number.
  • Prime factorization: 521 is prime and cannot be factored.
  • The exponent of prime number 521 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 521 has exactly 2 factors.
  • Factors of 521: 1, 521
  • Factor pairs: 521 = 1 x 521
  • 521 has no square factors that allow its square root to be simplified. √521 ≈ 22.8254244

How do we know that 521 is a prime number? If 521 were not a prime number, then it would be divisible by at least one prime number less than or equal to √521 ≈ 22.8. Since 521 cannot be divided evenly by 2, 3, 5, 7, 11, 13, 17, or 19, we know that 521 is a prime number.

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521 Logic

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