### Today’s Puzzle:

Start with the greatest common factor of 30 and 48, write the factors in the appropriate boxes, then work your way down this level 3 puzzle row by row using logic until you have found all the factors. You can do this!

### Factors of 1515:

- 1515 is a composite number.
- Prime factorization: 1515 = 3 × 5 × 101.
- 1515 has no exponents greater than 1 in its prime factorization, so √1515 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 1515 has exactly 8 factors.
- The factors of 1515 are outlined with their factor pair partners in the graphic below.

### Another Fact about the Number 1515:

1515 is the hypotenuse of FOUR Pythagorean triples:

300-1485-1515, which is **15** times (20-99-**101**),

651-1368-1515, which is **3** times (217-456-**505**),

909-1212-1515, which is (3-4-**5**) times **303**,

1008-1131-1515, which is **3** times (336-377-**505**).