document.write( "Question 995937: What is a number that is a multiple of 2 and 7, is less than
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document.write( "100 but greater than 50 and the product of three different
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document.write( "prime numbers? \n" );
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Algebra.Com's Answer #614556 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "She beat me to it, but she didn't bother to explain how to \r\n" ); document.write( "get the answer.\r\n" ); document.write( " \n" ); document.write( "What is a number that is a multiple of 2 and 7, is less than \n" ); document.write( "100 but greater than 50 and the product of three different \n" ); document.write( "prime numbers? \n" ); document.write( " \r\n" ); document.write( "2 and 7 are primes, so those have to be two of the primes\r\n" ); document.write( "of which the required number is the product of, so we need \r\n" ); document.write( "another prime p so that our number is 2*7*p\r\n" ); document.write( "\r\n" ); document.write( " 50 < 2*7*p < 100\r\n" ); document.write( "\r\n" ); document.write( " 50 < 14p < 100\r\n" ); document.write( "\r\n" ); document.write( "Divide through by 14\r\n" ); document.write( "\r\n" ); document.write( "3.57... < p < 7.14...\r\n" ); document.write( "\r\n" ); document.write( "The only prime different from 2 and 7\r\n" ); document.write( "between those two values is 5.\r\n" ); document.write( "\r\n" ); document.write( "So p = 5\r\n" ); document.write( "\r\n" ); document.write( "The number is therefore 2*7*p = 2*7*5 = 70.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |