document.write( "Question 64071: please tell me how to solve\r
\n" ); document.write( "\n" ); document.write( "what is the difference between the sum of the prime factors of 18 and the sum of the prime factor of 25?
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Algebra.Com's Answer #44703 by praseenakos@yahoo.com(507)\"\" \"About 
You can put this solution on YOUR website!
QUESTION\r
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\n" ); document.write( "\n" ); document.write( "A prime number is a positive integer that has exactly two positive integer factors, 1 and itself. \r
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\n" ); document.write( "\n" ); document.write( "For example, if we list the factors of 28, we have 1, 2, 4, 7, 14, and 28.\r
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\n" ); document.write( "\n" ); document.write( "That's six factors. If we list the factors of 29, we only have 1 and 29.\r
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\n" ); document.write( "\n" ); document.write( "That's two factors. So we say that 29 is a prime number, but 28 isn't.\r
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\n" ); document.write( "\n" ); document.write( "Note that the definition of a prime number doesn't allow 1 to be a prime number: \r
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\n" ); document.write( "\n" ); document.write( "1 only has one factor, namely 1.
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\n" ); document.write( "\n" ); document.write( "Prime numbers have exactly two factors, not \"at most two\" or anything like that. When a number has more than two factors it is called a composite number.\r
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\n" ); document.write( "\n" ); document.write( "Here are the first few prime numbers:\r
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\n" ); document.write( "\n" ); document.write( "2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, etc.\r
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\n" ); document.write( "\n" ); document.write( "Now let's come back to your question.\r
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\n" ); document.write( "\n" ); document.write( "List out prime factors of 18 and 25\r
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\n" ); document.write( "\n" ); document.write( "Factors of 18 = 1, 2, 3, 6, 9, and 18\r
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\n" ); document.write( "\n" ); document.write( "Among these prime numbers are 2 and 3, all others are composite.\r
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\n" ); document.write( "\n" ); document.write( "Factors of 25 = 1, 5, 25.\r
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\n" ); document.write( "\n" ); document.write( "Among these only 5 is prime.\r
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\n" ); document.write( "\n" ); document.write( "Now sum of prime factors of 18 = 2+3 = 5\r
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\n" ); document.write( "\n" ); document.write( " sum of prime factors of 25 = 5\r
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\n" ); document.write( "\n" ); document.write( "Their difference is = 5-5=0\r
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\n" ); document.write( "\n" ); document.write( "So your answer is 0\r
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\n" ); document.write( "\n" ); document.write( "Hope you understood.\r
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\n" ); document.write( "\n" ); document.write( "Regards.\r
\n" ); document.write( "\n" ); document.write( "praseenakos@yahoo.co.in\r
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