# 583 The secret to solving these puzzles is using logic and never guessing

5 – 8 + 3 = 0. Since zero is divisible by 11 we know that 583 is also divisible by 11.

583 is the sum of all the prime numbers from 31 to 73. Add them up and see for yourself.

583 is also the hypotenuse of the Pythagorean triple 308-495-583. What is the greatest common factor of those three numbers?

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The secret to solving these puzzles is using logic and never guessing. That means NEVER write a factor in a cell unless you know for sure it belongs there. Not following this advice can cause frustration when the puzzles are only intended to be fun. Read How to Solve a FIND THE FACTORS puzzle for more instructions.

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• 583 is a composite number.
• Prime factorization: 583 = 11 x 53
• 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 583 has exactly 4 factors.
• Factors of 583: 1, 11, 53, 583
• Factor pairs: 583 = 1 x 583 or 11 x 53
• 583 has no square factors that allow its square root to be simplified. √583 ≈ 24.14539 ————————————————————————————————— 