1063 and Level 1

Lucky you found this puzzle today! You can solve it by writing the factors 1 to 12 in both the first column and the top row so that the given clues are the products of the corresponding factors.

Print the puzzles or type the solution in this excel file: 12 factors 1063-1072

Now I’ll share a little information about the number 1063:

  • 1063 is a prime number. 1061 and 1063 are twin primes.
  • Prime factorization: 1063 is prime.
  • The exponent of prime number 1063 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 1063 has exactly 2 factors.
  • Factors of 1063: 1, 1063
  • Factor pairs: 1063 = 1 × 1063
  • 1063 has no square factors that allow its square root to be simplified. √1063 ≈ 32.60368

How do we know that 1063 is a prime number? If 1063 were not a prime number, then it would be divisible by at least one prime number less than or equal to √1063 ≈ 32.6. Since 1063 cannot be divided evenly by 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 or 31, we know that 1063 is a prime number.

1063 is the sum of seven consecutive prime numbers:
137 + 139 + 149 + 151 + 157 + 163 + 167 = 1063

1063 is a high flying palindrome in one other base:
It’s 747 in BASE 12 because 7(12²) + 4(12) + 7(1) = 1063

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