document.write( "Question 93077: a number under 100 and above 1 that has only 5 factors \n" ); document.write( "
Algebra.Com's Answer #67783 by Edwin McCravy(20056)\"\" \"About 
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document.write( "a number under 100 and above 1 that has only 5 \r\n" );
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document.write( "Theorem:\r\n" );
document.write( "If p is a prime number, then pn has\r\n" );
document.write( "n+1 factors\r\n" );
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document.write( "So if n+1 = 5\r\n" );
document.write( "        n = 4\r\n" );
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document.write( "So the 4th power of any prime number has 5 factors.  \r\n" );
document.write( "There are two 4th powers of primes between 1 and 100,\r\n" );
document.write( "16 and 81.\r\n" );
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document.write( "24 = 16 has 5 factors, \r\n" );
document.write( "namely, 1,2,4,8, and 16\r\n" );
document.write( "34 = 81 has 5 factors,\r\n" );
document.write( "namely, 1,3,9,27, and 81\r\n" );
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document.write( "So there are two solutions, 16 and 81.\r\n" );
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document.write( "Edwin
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