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Print the puzzles or type the solution in this excel file: 10-factors-1002-1011
1002 is the sum of the eighteen prime numbers from 19 to 97.
It is also the sum of two consecutive prime numbers:
499 + 503 = 1002
1002 is a palindrome in two other bases:
6B6 in BASE 12 (B is 11 base 10)
2A2 in BASE 20 (A is 10 base 10)
- 1002 is a composite number.
- Prime factorization: 1002 = 2 × 3 × 167
- The exponents in the prime factorization are 1, 1, and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1)(1 + 1) = 2 × 2 × 2 = 8. Therefore 1002 has exactly 8 factors.
- Factors of 1002: 1, 2, 3, 6, 167, 334, 501, 1002
- Factor pairs: 1002 = 1 × 1002, 2 × 501, 3 × 334, or 6 × 167
- 1002 has no square factors that allow its square root to be simplified. √1002 ≈ 31.65438
