A Multiplication Based Logic Puzzle

Carnivals are part of most state fairs, including the Utah State Fair.

Here is a mathematically nonsensical commercial encouraging us to “Go Beyond Ordinary at the Utah State Fair – Sept 7 – 17, 2017.” (You will have to click this picture and the facebook post to see the video.)

I will be hosting the September 2017 Math Education Blog Carnival in a couple of weeks! I am excited, but also a bit terrified. I have never done anything like this before, and, fellow bloggers, I would really appreciate your support.

As always, the Math Education Blog Carnival will include posts about math that will make sense and be great fun for teachers, their students, and even parents. If you have a math education blog post, please submit it to this month’s blog carnival! Click here for instructions on how to submit your post. You can also contact me on twitter: Iva Sallay @findthefactors.

Now here’s a little bit about the number 866:

29² + 5² = 866, so 866 is the hypotenuse of a Pythagorean triple:

290-816-866 which is 2(29)(5) , 29² – 5² , 29² + 5² and 2 times (145-408-433)

  • 866 is a composite number.
  • Prime factorization: 866 = 2 × 433
  • The exponents in the prime factorization are 1 and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1) = 2 × 2 = 4. Therefore 866 has exactly 4 factors.
  • Factors of 866: 1, 2, 433, 866
  • Factor pairs: 866 = 1 × 866 or 2 × 433
  • 866 has no square factors that allow its square root to be simplified. √866 ≈ 29.4278779

 

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