## A Multiplication Based Logic Puzzle

### 322 and a Note of Music

• 322 is a composite number.
• Prime factorization: 322 = 2 x 7 x 23
• 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 322 has exactly 8 factors.
• Factors of 322: 1, 2, 7, 14, 23, 46, 161, 322
• Factor pairs: 322 = 1 x 322, 2 x 161, 7 x 46, or 14 x 23
• 322 has no square factors that allow its square root to be simplified. √322 ≈ 17.944

I have enjoyed reading what some of my fellow bloggers have written about Christmas music. I highly recommend the following posts:

Beautiful music can be a challenge to produce. This Level 6 puzzle in the shape of a musical note can also be challenging, but it can be completed using logic:

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#### Comments on: "322 and a Note of Music" (2)

1. I do love Christmas music (religious and secular equally), but not all year round!

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2. I’m flattered to be included in your roster. Thank you!

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