Posted by **Michael** on Wednesday, September 23, 2009 at 6:59pm.

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 -
**Count Iblis**, Wednesday, September 23, 2009 at 7:24pm
Consider the prime factorization of n. How many factors of 2 does this need to contain and how many factors of 3?

- prime factorization -
**detahj**, Tuesday, September 28, 2010 at 6:42pm
prime factorization for 36

- prime factorization -
**detahj**, Tuesday, September 28, 2010 at 6:47pm
prime factorization for 180

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