Algebra.Com's Answer #833883 by ikleyn(52856)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "If 63^n is the greatest power of 63 that divides into 122!, find n.
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document.write( " =  =  .\r\n" );
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document.write( "The maximum degree  which divides 122! is \r\n" );
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document.write( " [ ] + [ ] + [ ] + [ ] = \r\n" );
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document.write( " = 40 + 13 + 4 + 1 = 58.\r\n" );
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document.write( " | Here [...] is the floor-function (the maximum-integer-lesser function). |\r\n" );
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document.write( "The maximum degree  which divides 122! is \r\n" );
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document.write( " [ ] + [ ] = 17 + 2 = 19.\r\n" );
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document.write( "So, n must be the greatest integer such that 2n is lesser than or equal to 58\r\n" );
document.write( " and (at the same time) be the greatest integer such that n is lesser than or equal to 19.\r\n" );
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document.write( "From these conditions, n = 19. ANSWER\r\n" );
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document.write( "Solved.\r
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