Factors and Prime Factorization

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  1. What are the factors of 12?
    Solution
    1, 2, 3, 4, 6, 12
  2. List the first four prime numbers
    Solution
    2, 3, 5, 7
  3. What are the prime factors of 12?
    Solution
    2, 3
  4. Find the prime factorization of 720
    Solution
    2^4\times 3^2\times 5
  5. Use prime factorization to evaluate \sqrt{9}
    Solution
    \sqrt{3\times3}=3
  6. Use prime factorization to evaluate \sqrt{44100}
    Solution
    \sqrt{2\times2\times3\times3\times5\times5\times7\times7}=2\times3\times5\times7=245
  7. Use prime factorization to evaluate \sqrt[3]{-8}
    Solution
    \sqrt[3]{-2\times-2\times-2}=-2
  8. Use prime factorization to evaluate \sqrt[3]{27000}
    Solution
    \sqrt[3]{2\times2\times2\times3\times3\times3\times5\times5\times5}=2\times3\times5=30