These Find the Factors Challenge puzzles are tougher than my other puzzles, but they can still be solved using logic and basic multiplication and division facts. Go ahead, give it a try! I sincerely hope you will succeed!

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

Now I’ll share some facts about the number 1072:

• 1072 is a composite number.
• Prime factorization: 1072 = 2 × 2 × 2 × 2 × 67, which can be written 1072 = 2⁴ × 67
• The exponents in the prime factorization are 4 and 1. Adding one to each and multiplying we get (4 + 1)(1 + 1) = 5 × 2 = 10. Therefore 1072 has exactly 10 factors.
• Factors of 1072: 1, 2, 4, 8, 16, 67, 134, 268, 536, 1072
• Factor pairs: 1072 = 1 × 1072, 2 × 536, 4 × 268, 8 × 134, or 16 × 67
• Taking the factor pair with the largest square number factor, we get √1072 = (√16)(√67) = 4√67 ≈ 32.74141

1072 is also palindrome 646 in BASE 13 because 6(13²) + 4(13) + 6(1) = 1072