document.write( "Question 1149796: What is the greatest power of 3 that divides into 578!, with no remainder. \n" ); document.write( "
Algebra.Com's Answer #771141 by ikleyn(52858)\"\" \"About 
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document.write( "\"578%2F3\" = 192.66  gives you the factor  \"3%5E192\".\r\n" );
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document.write( "\"578%2F3%5E2\" = 64.22  gives you additional factor of  \"3%5E64\".\r\n" );
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document.write( "\"578%2F3%5E3\" = 21.41  gives you additional factor of  \"3%5E21\".\r\n" );
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document.write( "\"578%2F3%5E4\" = 7.43  gives you additional factor of  \"3%5E7\".\r\n" );
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document.write( "\"578%2F3%5E5\" = 2.37  gives you additional factor of  \"3%5E2\".\r\n" );
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document.write( "\"578%2F3%5E6\" = 0.79  will NOT give you additional factor of 3.\r\n" );
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document.write( "So, the maximal degree of 3 is   192 + 64 + 21 + 7 + 2 = 286.    ANSWER\r\n" );
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