Math

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I need help on this question. What is the smallest positive integer n such that 2n is a perfect square and 3n is a perfect cube?

I THINK THE ANSWER IS 1, IS THIS CORRECT?

  • Math -

    Consider the prime factorization of n. How many factors of 2 does this need to contain and how many factors of 3?

  • prime factorization -

    prime factorization for 36

  • prime factorization -

    prime factorization for 180

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