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1996 AMC 12 Question 29

AMC12 · 1996 AMC 12

Question 29

If $n$ is a positive integer such that $2n$ has $28$ positive divisors and $3n$ has $30$ positive divisors, then how many positive divisors does $6n$ have?
  1. $32$
  2. $34$
  3. $35$
  4. $36$
  5. $38$