## A Multiplication Based Logic Puzzle

### 447 and Level 6

447 is the hypotenuse for one Pythagorean triple: 153-420-447. Each of the numbers in the triple are divisible by 3. If you divide each of them by 3, you will discover the Primitive triple that this Pythagorean triple is based on and find one of 447’s factor pairs.

Print the puzzles or type the factors on this excel file: 10 Factors 2015-03-30

• 447 is a composite number.
• Prime factorization: 447 = 3 x 149
• 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 447 has exactly 4 factors.
• Factors of 447: 1, 3, 149, 447
• Factor pairs: 447 = 1 x 447 or 3 x 149
• 447 has no square factors that allow its square root to be simplified. √447 ≈ 21.1424

#### Comments on: "447 and Level 6" (4)

1. My favorite Pythagorean Triplet so far!

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• ivasallay said:

Really? Why is it your favorite?

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• 153 is a highway near my mother’s house, 420 reminds me of 42 (the answer to life, the universe and everything) and 447 is just such a big triplet!

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2. ivasallay said:

Cool!

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