A Multiplication Based Logic Puzzle

I found it difficult to find something interesting about the number 478 that wasn’t too difficult to understand, until I clicked on integernumber.com. It tells how to write 478 in several languages:

  • English (EN): four hundred seventy-eight
  • Spanish (ES): cuatrocientos setenta y ocho
  • French (FR): quatre cent soixante-dix-huit
  • German (DE): vierhundertachtundsiebzig
  • Italian (IT): quattrocentosettantotto
  • Hebrew (HE): ארבע-מאות שבעים ושמונה
  • Indonesian (ID): empat ratus tujuh puluh delapan
  • Russian (RU): четыреста семьдесят восемь
  • Swedish (SV): fyrahundrasjutioåtta
  • Turkish (TR): dört yüz yetmiş sekiz

In Hungarian 478 is négyszáz hetvennyolc.

If you know how to write 478 in any other language, please share it in the comments as some of my other readers have done.


Today’s Level 5 puzzle may be a bit more difficult than usual, but give it a try anyway:

478 Puzzle

Print the puzzles or type the solution on this excel file: 10 Factors 2015-04-27

Here’s a little more about the number 478:

478 is palindrome 262 in BASE 14 because 2(196) + 6(14) + 2(1) = 478

478 can be written as the sum of four consecutive numbers:

118 + 119 + 120 + 121 = 478


  • 478 is a composite number.
  • Prime factorization: 478 = 2 x 239
  • The exponents in the prime factorization are 1 and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1) = 2 x 2 = 4. Therefore 478 has exactly 4 factors.
  • Factors of 478: 1, 2, 239, 478
  • Factor pairs: 478 = 1 x 478 or 2 x 239
  • 478 has no square factors that allow its square root to be simplified. √478 ≈ 21.86321


478 Logic


Comments on: "478 in Several Languages and Level 5" (6)

  1. abyssbrain said:

    In Filipino, 478 is apat na raan at pitum put walo

    Liked by 1 person

  2. In British English, we would write four hundred and seventy-eight.

    Liked by 1 person

    • ivasallay said:

      Thank you! Most people who speak American English would also write out four hundred and seventy-eight. Personally, when it comes to saying or writing numbers, I prefer the word “and” to be used to indicate that a fraction or decimal follows.


  3. Well, not being fluent in Klingon, I did have to rely on a translation page, which helped me up with this: loS wa’vatlh je SochmaH chorgh. http://www.languagesandnumbers.com/how-to-count-in-klingon/en/tlh/

    Liked by 1 person

    • ivasallay said:

      Yes, I suppose each Klingon would want to count the number of their spoils. Thank you for this contribution!


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