document.write( "Question 1064533: Find the greatest 4 digit number that has exactly 3 factors. \n" ); document.write( "
Algebra.Com's Answer #679605 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! That's trial and error. \n" ); document.write( "You do it. \n" ); document.write( "Start with 9999 and count down. \n" ); document.write( "------------ \n" ); document.write( "I'm not sure about the other tutor's answer. \n" ); document.write( "1 is not usually considered when factoring. \n" ); document.write( "If 1 is accepted as a factor, then 9409 can be 1*1*1*1*97*97. \n" ); document.write( "And, if 1 is allowed --> 1*17*769 = 9997 \n" ); document.write( "If 1 is not allowed ---> 2*19*263 = 9994 \n" ); document.write( "============================================================= \n" ); document.write( "--- \n" ); document.write( "If using the same factor more than once is allowed, then \n" ); document.write( "then 3*3*11*101 is the solution. \n" ); document.write( "---------------- \n" ); document.write( "But, the author of the problem should have specified whether or not to use 1 as a factor. \n" ); document.write( "==================== \n" ); document.write( "It's a useless problem, nothing to be learned from it. \n" ); document.write( " \r\n" ); document.write( " 9999 9998 9997 9996 9995 9994 9993 9992 9991 9990\r\n" ); document.write( " \r\n" ); document.write( "2 4999.50 4999.00 4998.50 4998.00 4997.50 4997.00 4996.50 4996.00 4995.50 4995.00\r\n" ); document.write( "3 3333.00 3332.67 3332.33 3332.00 3331.67 3331.33 3331.00 3330.67 3330.33 3330.00\r\n" ); document.write( "5 1999.80 1999.60 1999.40 1999.20 1999.00 1998.80 1998.60 1998.40 1998.20 1998.00\r\n" ); document.write( "7 1428.43 1428.29 1428.14 1428.00 1427.86 1427.71 1427.57 1427.43 1427.29 1427.14\r\n" ); document.write( "11 909.00 908.91 908.82 908.73 908.64 908.55 908.45 908.36 908.27 908.18\r\n" ); document.write( "13 769.15 769.08 769.00 768.92 768.85 768.77 768.69 768.62 768.54 768.46\r\n" ); document.write( "17 588.18 588.12 588.06 588.00 587.94 587.88 587.82 587.76 587.71 587.65\r\n" ); document.write( "19 526.26 526.21 526.16 526.11 526.05 526.00 525.95 525.89 525.84 525.79\r\n" ); document.write( "23 434.74 434.70 434.65 434.61 434.57 434.52 434.48 434.43 434.39 434.35\r\n" ); document.write( "29 344.79 344.76 344.72 344.69 344.66 344.62 344.59 344.55 344.52 344.48\r\n" ); document.write( "31 322.55 322.52 322.48 322.45 322.42 322.39 322.35 322.32 322.29 322.26\r\n" ); document.write( "37 270.24 270.22 270.19 270.16 270.14 270.11 270.08 270.05 270.03 270.00\r\n" ); document.write( "41 243.88 243.85 243.83 243.80 243.78 243.76 243.73 243.71 243.68 243.66\r\n" ); document.write( "43 232.53 232.51 232.49 232.47 232.44 232.42 232.40 232.37 232.35 232.33\r\n" ); document.write( "47 212.74 212.72 212.70 212.68 212.66 212.64 212.62 212.60 212.57 212.55\r\n" ); document.write( "53 188.66 188.64 188.62 188.60 188.58 188.57 188.55 188.53 188.51 188.49\r\n" ); document.write( "59 169.47 169.46 169.44 169.42 169.41 169.39 169.37 169.36 169.34 169.32\r\n" ); document.write( "61 163.92 163.90 163.89 163.87 163.85 163.84 163.82 163.80 163.79 163.77\r\n" ); document.write( "67 149.24 149.22 149.21 149.19 149.18 149.16 149.15 149.13 149.12 149.10\r\n" ); document.write( "71 140.83 140.82 140.80 140.79 140.77 140.76 140.75 140.73 140.72 140.70\r\n" ); document.write( "73 136.97 136.96 136.95 136.93 136.92 136.90 136.89 136.88 136.86 136.85\r\n" ); document.write( "79 126.57 126.56 126.54 126.53 126.52 126.51 126.49 126.48 126.47 126.46\r\n" ); document.write( "83 120.47 120.46 120.45 120.43 120.42 120.41 120.40 120.39 120.37 120.36\r\n" ); document.write( "89 112.35 112.34 112.33 112.31 112.30 112.29 112.28 112.27 112.26 112.25\r\n" ); document.write( "97 103.08 103.07 103.06 103.05 103.04 103.03 103.02 103.01 103.00 102.99\r\n" ); document.write( "\r\n" ); document.write( " \n" ); document.write( "I used Excel, it took just a few minutes. \n" ); document.write( " \n" ); document.write( " |