606 and Level 5

606 is the sum of the six prime numbers from 89 to 109

606 is also the hypotenuse of the Pythagorean triple 120-594-606. What is the greatest common factor of those three numbers?

606 Puzzle

Print the puzzles or type the solution on this excel file: 10 Factors 2015-09-01

—————————————————————————————————

  • 606 is a composite number.
  • Prime factorization: 606 = 2 x 3 x 101
  • The exponents in the prime factorization are 1, 1, and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1)(1 + 1) = 2 x 2 x 2 = 8. Therefore 606 has exactly 8 factors.
  • Factors of 606: 1, 2, 3, 6, 101, 202, 303, 606
  • Factor pairs: 606 = 1 x 606, 2 x 303, 3 x 202, or 6 x 101
  • 606 has no square factors that allow its square root to be simplified. √606 ≈ 24.617067

—————————————————————————————————

Advertisements

Leave a Reply

This site uses Akismet to reduce spam. Learn how your comment data is processed.