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Today’s Puzzle:
Use logic to write all the numbers 1 to 10 in both the first column and the top row of the puzzle so that those numbers are the factors of the given clues.
Factors of 1654:
- 1654 is a composite number.
- Prime factorization: 1654 = 2 × 827.
- 1654 has no exponents greater than 1 in its prime factorization, so √1654 cannot be simplified.
- The exponents in the prime factorization are 1 and 1. Adding one to each exponent and multiplying we get (1 + 1)(1 + 1) = 2 × 2 = 4. Therefore 1654 has exactly 4 factors.
- The factors of 1654 are outlined with their factor pair partners in the graphic below.
More About the Number 1654:
1654 is a leg in one Pythagorean triple:
1654-683928-683930, calculated from 2(827)(1), 827² – 1², 827² + 1².