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Today’s Puzzle:
What is the reason we have the Christmas season? The answer to that question actually begins with a cross…
Write the numbers from 1 to 12 in both the first column and the top row so that the given clues are the products of those numbers.
Factors of 1558:
- 1558 is a composite number.
- Prime factorization: 1558 = 2 × 19 × 41.
- 1558 has no exponents greater than 1 in its prime factorization, so √1558 cannot be simplified.
- The exponents in the prime factorization are 1, 1, and 1. Adding one to each exponent and multiplying we get (1 + 1)(1 + 1)(1 + 1) = 2 × 2 × 2 = 8. Therefore 1558 has exactly 8 factors.
- The factors of 1558 are outlined with their factor pair partners in the graphic below.
Another Fact about the Number 1558:
1558 is the hypotenuse of a Pythagorean triple:
342-1520-1558, which is 38 times (9-40-41).