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Today’s Puzzle:
Can you write each number from 1 to 12 in the first column and again in the top row so that the products of the numbers you write are the given clues?
Factors of 1754:
- 1754 is a composite number.
- Prime factorization: 1754 = 2 × 877.
- 1754 has no exponents greater than 1 in its prime factorization, so √1754 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 1754 has exactly 4 factors.
- The factors of 1754 are outlined with their factor pair partners in the graphic below.
More About the Number 1754:
1754 is the sum of two squares:
35² + 23² = 1754.
1754 is the hypotenuse of a Pythagorean triple:
696-1610-1754, calculated from 35² – 23², 2(35)(23), 35² + 23².
It is also 2 times (348-805-877).