A Multiplication Based Logic Puzzle

103 and Level 2

  • 103 is a prime number.
  • Prime factorization: 103 is prime.
  • The exponent of prime number 103 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 103 has exactly 2 factors.
  • Factors of 103: 1, 103
  • Factor pairs: 103 = 1 x 103
  • 103 has no square factors that allow its square root to be simplified. √103 ≈ 10.14889

How do we know that 103 is a prime number? If 103 were not a prime number, then it would be divisible by at least one prime number less than or equal to √103 ≈ 10.1 Since 103 cannot be divided evenly by 2, 3, 5, or 7, we know that 103 is a prime number.

103 is never a clue in the FIND THE FACTORS puzzles.

2014-17 Level 2

This week’s puzzles and last week’s factors: 10 Factors 2014-04-28

2014-17 Level 2 factors

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Comments on: "103 and Level 2" (2)

  1. I like your explanation of how to quickly show that 103 is a prime number. I didn’t know that.

    Like

  2. ivasallay said:

    Thank you. It is a powerful time saver.

    Like

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