Difference between revisions of "AoPS Wiki talk:Problem of the Day/June 8, 2011"

Latest revision as of 20:46, 7 June 2011

$121121$ can be divided into $121\times1001$

$121=11^2$

$1001=7\times11\times13$

$121121=7\times\111^3\times13$ (Error compiling LaTeX. Unknown error_msg)

$(7+1)(11^3+11^2+11+1)(13+1)$ gives the sum of the factors (expand it and see). Thus, the answer is $\boxed{163968}$ .

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 {{:AoPSWiki:Problem of the Day/June 8, 2011}}
 ==Solution==
-{{potd_solution}}
+<math>121121</math> can be divided into <math>121\times1001</math>
+<math>121=11^2</math>
+<math>1001=7\times11\times13</math>
+<math>121121=7\times\111^3\times13</math>
+<math>(7+1)(11^3+11^2+11+1)(13+1)</math> gives the sum of the factors (expand it and see). Thus, the answer is <math>\boxed{163968}</math>.