A Multiplication Based Logic Puzzle

959 and Level 1

Whether you are young, old, or in between, if you can do some simple division, then you can solve this level 1 puzzle. There is a column of clues and a row of clues. Both of them have the same common factor. Write that common factor in the first column to the left of the row of clues and again in the top row above the column of clues. Then simply divide. You will be done in no time at all.

Print the puzzles or type the solution in this excel file: 12 factors 959-967

Here are some facts about the number 957:

959 is the hypotenuse of a Pythagorean triple:
616-735-959 which is 7 times (88-105-137)

959 is a palindrome in base 10.

And it is a cool-looking 1110111111 in BASE 2
because (2¹⁰ – 1) – 2⁶ = 959.
In base 2 we would write (if we use commas)
1,111,111,111 – 1,000,000 = 1,110,111,111

  • 959 is a composite number.
  • Prime factorization: 959 = 7 × 137
  • 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 959 has exactly 4 factors.
  • Factors of 959: 1, 7, 137, 959
  • Factor pairs: 959 = 1 × 959 or 7 × 137
  • 959 has no square factors that allow its square root to be simplified. √959 ≈ 30.967725

 

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