1057 and Level 2

Can you figure out where to put the numbers from 1 to 10 in both the 1st column and the top row so that this puzzle behaves like a multiplication table?

Print the puzzles or type the solution in this excel file: 10-factors-1054-1062

Here’s a little bit about the number 1057:

  • 1057 is a composite number.
  • Prime factorization: 1057 = 7 × 151
  • 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 1057 has exactly 4 factors.
  • Factors of 1057: 1, 7, 151, 1057
  • Factor pairs: 1057 = 1 × 1057 or 7 × 151
  • 1057 has no square factors that allow its square root to be simplified. √1057 ≈ 32.5115

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