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Product a Perfect Cube

Date: 12/07/2002 at 16:13:31
From: Brendan Cruz
Subject: Math

What is the smallest positive integer by which you can multiply 735 
so that the product is a perfect cube?

Date: 12/08/2002 at 13:41:12
From: Doctor Ian
Subject: Re: Math

Hi Brendan,

Write out the prime factorization for 735. Note that the prime
factorization of a perfect cube must look like

    n  m     3
  (a  b  ...)

What prime factors would you have to add to get something like that? 

- Doctor Ian, The Math Forum
  http://mathforum.org/dr.math/

Associated Topics:
Middle School Factoring Numbers

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