A Multiplication Based Logic Puzzle

48 is a composite number. 48 = 1 x 48, 2 x 24, 3 x 16, 4 x 12, or 6 x 8. Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. Prime factorization: 48 = 2 x 2 x 2 x 2 x 3, which can also be written 48 = 2⁴ x 3.

Sometimes 48 is a clue in the FIND THE FACTORS puzzles. Even though it has many other factors, we use only 6 x 8 for the FIND THE FACTORS 1-10 puzzles and 6 x 8 or 4 x 12 for the FIND THE FACTORS 1-12 puzzles.

 

factor tree

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Below is some fabulous mathematical slight of hand.  Something is wrong with it, but what?

The Science Magician - Dr Matt Pritchard

Image

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Comments on: "48 and What’s wrong with this?" (2)

  1. fluffy said:

    This is an old chestnut! Of course, if you were to look at the slope of the blue triangle (2/5) and the red triangle (3/8) you’d see that they’re almost, but not quite, equal; the figure on the bottom has a little bit more area than the one on the top.

    Like

  2. ivasallay said:

    Great observations!

    Like

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