document.write( "Question 206354: Using the digits 1,2,3,4,5, and 6 ONLY ONCE, find two 3-digit whose product is as large as possible. \n" ); document.write( "

Algebra.Com's Answer #156221 by RAY100(1637) $\"\"$ $\"About$

You can put this solution on YOUR website!
Basically, we are asked to pick two 3 digit numbers, which when multiplied together are a max for this set.
\n" ); document.write( ".
\n" ); document.write( "if we try to maximize the hundreds digit:
\n" ); document.write( "100*200=20,000
\n" ); document.write( "300*400=120,000
\n" ); document.write( "500*600=300,000,,this suggests that the hundreds digits are 5 &6
\n" ); document.write( ".
\n" ); document.write( "working on the 10's digit:
\n" ); document.write( "610*520=317,200
\n" ); document.write( "620*510=316,200
\n" ); document.write( "630*540=340,200,,,,,,max,,,lets use these
\n" ); document.write( "640*530=339,200
\n" ); document.write( ".
\n" ); document.write( "working on the tens digits:
\n" ); document.write( "631*542=342,002,,,,,,max,,,,,answer
\n" ); document.write( "632*541=341,912
\n" ); document.write( ".
\n" ); document.write( "Therefore using only the digits 1 to 6, and each only once,
\n" ); document.write( "the max product is 342,002, from 631*542
\n" ); document.write( ". \n" ); document.write( "

\n" );