document.write( "Question 989462: Find a composite number for each of the following numbers to make each a pair of co-prime numbers?
\n" );
document.write( "a: 80, b:63 ,c: 135,d: 88 e:52 f:81 g:256 h:216 i:294 j:1155 \r
\n" );
document.write( "\n" );
document.write( "Can you please provide answers with the steps to help my daughter explain the same. \n" );
document.write( "
Algebra.Com's Answer #609770 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "You just have to pick a number that does not share a prime factor with it.\r\n" ); document.write( "The easiest way to make a composite number with a prime is to square it.\r\n" ); document.write( "\r\n" ); document.write( "a: 80, \r\n" ); document.write( "\r\n" ); document.write( "80 has factors 2, 5. Pick another prime. 3, square it, 9\r\n" ); document.write( "\r\n" ); document.write( "80 and 9 are coprime. \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "b:63\r\n" ); document.write( "\r\n" ); document.write( "63 has prime factors 3, 7. Pick another prime, 5, square it, 25.\r\n" ); document.write( "\r\n" ); document.write( "63 and 25 are coprime.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "c: 135\r\n" ); document.write( "\r\n" ); document.write( "135 has prime factors 3,5. Pick another prime. 7, square it, 49 \r\n" ); document.write( "\r\n" ); document.write( "135 and 49 are coprime.\r\n" ); document.write( "\r\n" ); document.write( ",d: 88 \r\n" ); document.write( "\r\n" ); document.write( "88 has prime factors 2,11. Pick another prime. 3, square it, 9.\r\n" ); document.write( "\r\n" ); document.write( "88 and 9 are coprime\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "e:52\r\n" ); document.write( "\r\n" ); document.write( "52 has prime factors 2,13. Pick another prime, 3, square it, 9\r\n" ); document.write( "\r\n" ); document.write( "52 and 9 are coprime.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "f:81 \r\n" ); document.write( "\r\n" ); document.write( "81 has only the prime factor 3. Pick another prime 2, square it, 4,\r\n" ); document.write( "\r\n" ); document.write( "81 and 4 are coprime\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "g:256 \r\n" ); document.write( "\r\n" ); document.write( "256 has only the prime factor 2. Pick another prime, 3, square it, 9,\r\n" ); document.write( "\r\n" ); document.write( "256 and 9 are coprime. \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "h:216\r\n" ); document.write( "\r\n" ); document.write( "216 has prime factors 2, 3. Pick another prime, 5, square it, 25,\r\n" ); document.write( "\r\n" ); document.write( "216 and 25 are coprime.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " i:294\r\n" ); document.write( "\r\n" ); document.write( "294 has prime factor 2, 3, 7. Rick another prime, 5. Square it, 25.\r\n" ); document.write( "\r\n" ); document.write( "294 and 25 are coprime. \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " j:1155 \r\n" ); document.write( "\r\n" ); document.write( "1155 has prime factors 3, 5, 7, 11. Pick another prime, 2. Square it, 4.\r\n" ); document.write( "\r\n" ); document.write( "1155 and 4 are coprime.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |