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Today’s Puzzle:
Can you write all the numbers from 1 to 10 in both the first column and the top row so that those numbers become the factors of the given clues?
Factors of 1482:
- 1482 is a composite number.
- Prime factorization: 1482 = 2 × 3 × 13 × 19
- 1482 has no exponents greater than 1 in its prime factorization, so √1482 cannot be simplified.
- The exponents in the prime factorization are 1, 1, 1, and 1. Adding one to each exponent and multiplying we get (1 + 1)(1 + 1)(1 + 1)(1 + 1) = 2 × 2 × 2 × 2 = 16. Therefore 1482 has exactly 16 factors.
- The factors of 1482 are outlined with their factor pair partners in the graphic below.
Another Fact about the Number 1482:
1482 is the hypotenuse of a Pythagorean triple:
570-1368-1482 which is (5-12-13) times 114.