A Multiplication Based Logic Puzzle

454 and Level 5

There is a relationship between the digits in 454 and the digits of its two prime factors, specifically 4 + 5 + 4 = 13 and 2 + 2 + 2 + 7 = 13. That means 454 is another Smith number.

I am excited that Jo Morgan of Resourceaholic has awarded this blog the 2015 Resource Gem Award for Bright Ideas!

454 Puzzle

Print the puzzles or type the factors on this excel file:  12 Factors 2015-04-06

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  • 454 is a composite number.
  • Prime factorization: 454 = 2 x 227
  • 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 454 has exactly 4 factors.
  • Factors of 454: 1, 2, 227, 454
  • Factor pairs: 454 = 1 x 454 or 2 x 227
  • 454 has no square factors that allow its square root to be simplified. √454 ≈ 21.3073

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454 Logic

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