A Multiplication Based Logic Puzzle

571 Family Time

For the last two weeks we’ve been spending time with our grandchildren in Salt Lake City, Utah; Portland, Oregon; Houston, Texas; and Hartford, Connecticut. We also spent time with my brother’s daughter and her two children. AND we celebrated my sister’s 70th birthday party and reconnected with all of her children in Portland. We have been busy, and I am tired, but happy.

We’ve had a wonderful time with all of them, and it was so painful to say goodbye. We and a few other people took pictures except we didn’t get any pictures of the grandkids that live within 10 miles of our home. What’s with that? I’m as guilty as anyone else who takes people and things for granted.

Here’s a picture of me holding my newest grandson. My daughter is in the background holding one of her nieces.

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Since 171 + 190 + 210 = 571, it is the sum of the 18th, 19th, and 20th triangular numbers. That makes 571 the 20th centered triangular number.

• 571 is a prime number and a twin prime with 569.
• Prime factorization: 571 is prime and cannot be factored.
• The exponent of prime number 571 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 571 has exactly 2 factors.
• Factors of 571: 1, 571
• Factor pairs: 571 = 1 x 571
• 571 has no square factors that allow its square root to be simplified. √571 ≈ 23.8956

How do we know that 571 is a prime number? If 571 were not a prime number, then it would be divisible by at least one prime number less than or equal to √571 ≈ 23.9. Since 571 cannot be divided evenly by 2, 3, 5, 7, 11, 13, 17, 19, or 23, we know that 571 is a prime number.

Comments on: "571 Family Time" (5)

1. Thumbup said:

OH! The baby’s lower lips! Adorable!

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2. Aw, congratulations, and glad you got to see everyone.

As for not taking pictures of the grandkids who live near home, well, that’s surely an extension of the way home affects what we do.

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• Yes, and as you talk about in your link, we don’t visit the local sites much either. We all take so much for granted.

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3. Lovely to see such nice pics of you all.

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• Thank you.

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