A Multiplication Based Logic Puzzle

Happy Easter! The song, “Because He Lives,” is especially appropriate for Easter.

The composer, Sally DeFord, has written some absolutely beautiful music. You can download PDF’s of ANY of her sheet music for FREE on her website. This particular arrangement is written for a duet, but there is also a version for SATB. There are PDF’s of this particular song translated into Spanish, Portuguese, and Finnish. One of the people who commented even gave a translation into Chinese.

Since this is my 448th post, I’ll give some information about the number 448.

448 is another Harshad number because 4 + 4 + 8 = 16, and 448 can be evenly divided by 16.

448 factor tree

  • 448 is a composite number.
  • Prime factorization: 448 = 2 x 2 x 2 x 2 x 2 x 2 x 7, which can be written 448 = (2^6) x 7
  • The exponents in the prime factorization are 6, and 1. Adding one to each and multiplying we get (6 + 1)(1 + 1) = 7 x 2 = 14. Therefore 448 has exactly 14 factors.
  • Factors of 448: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
  • Factor pairs: 448 = 1 x 448, 2 x 224, 4 x 112, 7 x 64, 8 x 56, 14 x 32, or 16 x 28
  • Taking the factor pair with the largest square number factor, we get √448 = (√64)(√7) = 8√7 ≈ 21.16601

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Comments on: "448 Because He Lives" (1)

  1. abyssbrain said:

    Happy Easter as well.

    Liked by 1 person

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