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?

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

—————————————————————————————————