document.write( "Question 1200580: What is the number of factors of 222264 that are perfect squares? \n" ); document.write( "
Algebra.Com's Answer #834737 by ikleyn(52776)\"\" \"About 
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\n" ); document.write( "What is the number of factors of 222264 that are perfect squares?
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document.write( "Prime decomposition of the number  222264  is\r\n" );
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document.write( "    222264 = \"2%5E3%2A3%5E4%2A7%5E3\".\r\n" );
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document.write( "The factors that are perfect squares are\r\n" );
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document.write( "    1, \"2%5E2\", \"3%5E2\", \"3%5E4\", \"7%5E2\",\r\n" );
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document.write( "       \"2%5E2%2A3%5E2\", \"2%5E2%2A3%5E4\",\r\n" );
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document.write( "       \"2%5E2%2A7%5E2\",\r\n" );
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document.write( "       \"3%5E2%2A7%5E2\", \"3%5E4%2A7%5E2\",\r\n" );
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document.write( "       \"2%5E2%2A3%5E2%2A7%5E2\", \"2%5E2%2A3%5E4%2A7%5E2\".\r\n" );
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document.write( "In all, there are 12 factors that are perfect squares.     ANSWER\r\n" );
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