493 and Level 6

493 is the sum of some consecutive prime numbers. Check the comments to see who posts those consecutive primes first, one of my readers or me.

David Radcliffe posted this 493-related gif on twitter:

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493 Puzzle

Print the puzzles or type the solution on this excel file: 10 Factors 2015-05-11

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  • 493 is a composite number.
  • Prime factorization: 493 = 17 x 29
  • The exponents in the prime factorization are 1 and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1) = 2 x 2 = 4. Therefore 493 has exactly 4 factors.
  • Factors of 493: 1, 17, 29, 493
  • Factor pairs: 493 = 1 x 493 or 17 x 29
  • 493 has no square factors that allow its square root to be simplified. √493 ≈ 22.203603

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493 Logic