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Today’s Puzzle:
It’s almost Halloween! This is my favorite kind of grave marker, one that is really just a Find the Factors puzzle in disguise. It’s only a level one, so it isn’t very tricky. I hope you find it a real treat!
Here’s the same puzzle but requiring less ink to print:
Neighbors have decorated part of their yard to look like a mini graveyard for Halloween. I think my grave marker would fit right in!
Factors of 1526:
- 1526 is a composite number.
- Prime factorization: 1526 = 2 × 7 × 109.
- 1526 has no exponents greater than 1 in its prime factorization, so √1526 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 1526 has exactly 8 factors.
- The factors of 1526 are outlined with their factor pair partners in the graphic below.
Another Fact about the Number 1526:
1526 is the hypotenuse of a Pythagorean triple:
840-1274-1526 which is 14 times (60-91-109)