1178 School Supplies

There is so much to see at the Ópusztaszer National Heritage Park whose location marks the birthplace of the nation of Hungary. I will mention only two of its attractions in this post.

In the rotunda is a huge cyclorama painting by Arpad Feszty depicting the arrival of the Magyars over 1100 years ago. The painting in of itself is amazing, but it is also augmented with artificial landscapes in front of and all the way around the painting, giving it a 3D effect. Photography in the rotunda is forbidden, but there is no way to capture the magnificence of this work of art in a 2-dimensional photo anyway. (Neither do these few words I’ve written.)

The 15-building museum village includes a school. I was pleased to see some of the authentic school supplies from around the turn of the 20th century and before. This first one is a slate students could use not only to write mathematical calculations but also to graph equations or make bar graphs!

This abacus also made me smile.

I would encourage you to visit Ópusztaszer National Heritage Park should you get to visit Hungary, but give yourselves more than the two hours we did to enjoy all it has to offer.

Now I’ll share some information about the number 1178:

  • 1178 is a composite number.
  • Prime factorization: 1178 = 2 × 19 × 31
  • 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 × 2 × 2 = 8. Therefore 1178 has exactly 8 factors.
  • Factors of 1178: 1, 2, 19, 31, 38, 62, 589, 1178
  • Factor pairs: 1178 = 1 × 1178, 2 × 589, 19 × 62, or 31 × 38
  • 1178 has no square factors that allow its square root to be simplified. √1178 ≈ 34.322

1178 is a leg in a few Pythagorean triples including
600-1178-1322 calculated from  31² – 19², 2(31)(19), 31² + 19²

1178 is palindrome 212 in BASE 24 because 2(24²) + 1(24) + 2(1) = 1178

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2 thoughts on “1178 School Supplies

  1. as ever love the comments finding details about Hungary reaaly interesting ,have you done mathtrip blogs about any other countries?

    • I am a little obsessed with Hungary, aren’t I! No, I’ve only written about finding math in Hungary and Romania.

      A blog of math trips about other countries would be very interesting. I don’t see myself doing all the necessary travel to make it happen, but perhaps someone else will!

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