## A Multiplication Based Logic Puzzle

### 357 Equality, Mathematics, and Dr. Martin Luther King, Jr.

3, 5, and 7 are three consecutive odd numbers so, so 357 is divisible by 3 and is a composite number. Scroll down to see its factors.

I read several quotes from Dr. Martin Luther Kings, Jr. today, including this one on equality and integration. The last sentence mentions mathematics, but I’m not exactly sure what that last sentence has to do with the rest of the quotation. Can anyone enlighten me?

• 357 is a composite number.
• Prime factorization: 357 = 3 x 7 x 17
• 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 357 has exactly 8 factors.
• Factors of 357: 1, 3, 7, 17, 21, 51, 119, 357
• Factor pairs: 357 = 1 x 357, 3 x 119, 7 x 51, or 17 x 21
• 357 has no square factors that allow its square root to be simplified. √357 ≈ 18.894

#### Comments on: "357 Equality, Mathematics, and Dr. Martin Luther King, Jr." (4)

1. I think he was referring back to his earlier comments on quantity not being the only factor in equality…just because the “math” of the quantities was equal didn’t mean the education was quality. I could certainly be incorrect in my interpretation though.

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• ivasallay said:

I think your interpretation is very good. It’s certainly a statement that’s meant to make us think. We’ve gotten away from the separate but equal philosophy so prevalent in his day, but some inequality in schools still exists. There are still changes that need to be made.

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2. what a great quote. I hadn’t seen this one before.

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• ivasallay said:

I hadn’t seen it before either. He said so much that is quotable!

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