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Today’s Puzzle:
This level one puzzle is the easiest of all the puzzles in my message to you. It might also be the letter that helps you know exactly what the message says.
Factors of 1542:
- 1542 is a composite number.
- Prime factorization: 1542 = 2 × 3 × 257.
- 1542 has no exponents greater than 1 in its prime factorization, so √1542 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 1542 has exactly 8 factors.
- The factors of 1542 are outlined with their factor pair partners in the graphic below.
Another Fact about the Number 1542
1542 = 1¹ + 5¹ + 4⁵ + 2⁹ so it is a digitally powerful number.
1542 is the hypotenuse of a Pythagorean triple:
192-1530-1542, which is 6 times (32-255-257).