document.write( "Question 389861: The number 632 is a multiple number since the first digit 6 is the product of the other two digits of the number. How many three-digit multiple numbers less than 700 exist? \n" ); document.write( "
Algebra.Com's Answer #276397 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "1. If the first digit is 1, there is only one way to factor 1 using two\r\n" ); document.write( " integers, 1×1 = 1, so the only multiple number with 1st digit 1 is 111. \r\n" ); document.write( "\r\n" ); document.write( "2. If the first digit is 2, there are two ways to factor 2 using two\r\n" ); document.write( " integers, 1×2 = 2, and 2×1 = 2 so there are two multiple numbers with 1st\r\n" ); document.write( " digit 2, 212 and 221.\r\n" ); document.write( "\r\n" ); document.write( "3. If the first digit is 3, there are two ways to factor 3 using two\r\n" ); document.write( " integers, 1×3 = 3, and 3×1 = 3 so there are two multiple numbers with 1st\r\n" ); document.write( " digit 3, 313 and 331.\r\n" ); document.write( "\r\n" ); document.write( "4. If the first digit is 4, there are three ways to factor 4 using two\r\n" ); document.write( " integers, 1×4 = 4, 2×2 = 4 and 4×1 = 4 so there are two multiple numbers\r\n" ); document.write( " with 1st digit 3, 414, 422 and 441.\r\n" ); document.write( "\r\n" ); document.write( "5. If the first digit is 5, there are two ways to factor 5 using two\r\n" ); document.write( " integers, 1×5 = 5, and 5×1 = 5 so there are two multiple numbers with 1st\r\n" ); document.write( " digit 5, 515 and 551.\r\n" ); document.write( "\r\n" ); document.write( "6. If the first digit is 6, there are four ways to factor 6 using two\r\n" ); document.write( " integers, 1×6 = 6, 2×3 = 6, 3×2 = 6, and 661, so there are four multiple\r\n" ); document.write( " numbers with 1st digit 6, 616, 623, 632, and 661.\r\n" ); document.write( "\r\n" ); document.write( "So there are 14 of them:\r\n" ); document.write( "\r\n" ); document.write( "111, 212, 221, 313, 331, 414, 422, 441, 515, 551, 616, 623, 632, 661\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |