### Today’s Puzzle:

All of the clues in today’s puzzle are divisible by the same number. Can you figure out what that number is? If you can, then you can solve this puzzle.

### Factors of 1455:

That was puzzle number 1455. In case you would like to know a little bit about that number, here are a few facts:

- 1455 is a composite number.
- Prime factorization: 1455 = 3 × 5 × 97
- 1455 has no exponents greater than 1 in its prime factorization, so √1455 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 1455 has exactly 8 factors.
- The factors of 1455 are outlined with their factor pair partners in the graphic below.

### Facts about the number 1455:

1455 is the difference of two squares in four different ways:

728² – 727² = 1455

244² – 241² = 1455

148² – 143² = 1455

56² – 41² = 1455

1455 is also the hypotenuse of four Pythagorean triples:

132-1449-1455 which is 3 times (44-483-485)

279-1428-1455 which is 3 times (93-476-485)

873-1164-1455 which is (3-4-5) times 291

975-1080-1455 which is 15 times (65-72-97)

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