A Multiplication Based Logic Puzzle

1019 An Easier Find the Factors Challenge Puzzle

I’ve recently posted some more challenging puzzles that I’ve named Find the Factors 1 – 10 Challenge, and they definitely are a more challenging puzzle than one of my more traditional level 6 puzzles. As of today, no one has informed me that they have been able to solve either puzzle number 1000 or 1010.

Two years ago I made perhaps my most challenging level 6 puzzle, a 16 × 16 puzzle to commemorate Steve Morris’s birthday. Steve Morris was the very first person to type a comment on my blog, and I have appreciated his encouragement over the years. Steve has solved many kinds of puzzles in his life including some of the toughest I have made, but the puzzle I made for that birthday was no picnic for even him to complete.

This year I’ve made him a challenging puzzle, but it is still a little easier than the other two challenge puzzles I’ve made. If you’ve tried either of those other puzzles without success, still give this one a try. Good luck to you all, and Happy Birthday to Steve Morris! I saved this post number (1019) for you because it uses your birthdate numbers, howbeit out of order.

Print the puzzles or type the solution in this excel file: 10-factors-1019-1027

This is my 1019th post. Here are a few facts about the number 1019.

Prime number 1019 is the sum of the 19 prime numbers from 17 to 97.

• 1019 is a prime number.
• Prime factorization: 1019 is prime.
• The exponent of prime number 1019 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 1019 has exactly 2 factors.
• Factors of 1019: 1, 1019
• Factor pairs: 1019 = 1 × 1019
• 1019 has no square factors that allow its square root to be simplified. √1019 ≈ 31.921779

How do we know that 1019 is a prime number? If 1019 were not a prime number, then it would be divisible by at least one prime number less than or equal to √1019 ≈ 31.9. Since 1019 cannot be divided evenly by 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 or 31, we know that 1019 is a prime number.

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Comments on: "1019 An Easier Find the Factors Challenge Puzzle" (4)

1. Wow, Iva, I’m honoured! Thank you very much, and I’m amazed you remembered my birthday. I think I have solved this puzzle, or at least as far as I could. I can’t place the final 3 and 7 on the left-hand horizontal axis – I don’t think there’s sufficient information to decide in which order they go in the squares 5 or 10 from the left? Or have I made a mistake (like I did last year?)

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• This was one of those times when I didn’t have a clue!

I was so excited to be able to use my computer again after it came back from the shop that I neglected checking the puzzle one more time before publishing it as I usually do. I hadn’t noticed that one of the clues was gone. I’ve replaced the puzzle in the post above. Sorry about that.

Congratulations! It looks like you’ve solved the puzzle! About how long did it take you?

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• Ah yes, thank you! It took me 15 minutes. A lot quicker than last year!

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• That sounds about right. Thanks for the feedback!

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