document.write( "Question 969976: find the smallest positive integer value of m for which cube root of (180x784xm) is a whole number
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #592683 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Look at the prime factors of each number,
\n" ); document.write( " $\"180=2%2A2%2A3%2A3%2A5\"$
\n" ); document.write( " $\"784=2%2A2%2A2%2A2%2A7%2A7\"$
\n" ); document.write( "So the twos are already in a multiple of 3, $\"2%5E6\"$
\n" ); document.write( "The three needs 1 to make $\"3%5E3\"$ .
\n" ); document.write( "The five needs 2 to make $\"5%5E3\"$ .
\n" ); document.write( "The seven needs 1 to make $\"7%5E3\"$ .
\n" ); document.write( " $\"m=3%2A5%2A5%2A7=highlight%28525%29\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );