1333 and Level 1

How well do you know the multiplication table? If you don’t know it very well, this puzzle can be a fun, no-pressure way to get more familiar with it. Give it a try!

Print the puzzles or type the solution in this excel file: 12 factors 1333-1341

Now I’ll share some facts about the puzzle number, 1333:

  • 1333 is a composite number.
  • Prime factorization: 1333 = 31 × 43
  • 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 1333 has exactly 4 factors.
  • Factors of 1333: 1, 31, 43, 1333
  • Factor pairs: 1333 = 1 × 1333 or 31 × 43
  • 1333 has no square factors that allow its square root to be simplified. √1333 ≈ 36.51027

1333 is the difference of two squares two different ways:
667²-666² = 1333
37² – 6² = 1333

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