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

## Answer this Question

## Related Questions

- MATH - Find a positive integer m such that 1/2m is a perfect square and 1/3m is ...
- math - Find a positive integer m such that 1 2m is a perfect square and 1 3m is ...
- math - The number 1 is a perfect square (1X1=1) and a perfect cube (1X1X1=1). ...
- math - The number 1 is a perfect square and a perfict cube. What is the next ...
- MATH - What is the smallest positive integer by which 180 should be multiplied ...
- MATH HELP PLEASE - What is the smallest positive integer by which 180 should be ...
- math - According to the Journal of Irreproducible Results, any obtuse angle is a...
- MATH - Show that there are no positive integers n for which n4 + 2n3 + 2n2 + 2n...
- math - Show that there are no positive integers n for which n4 + 2n3 + 2n2 + 2n...
- math - What is the sum of all possible positive integer values of n, such that n...