document.write( "Question 139196: I'm having problems understanding prime factors. For example 675, how would you break that down ? \n" ); document.write( "
Algebra.Com's Answer #101491 by solver91311(24713)\"\" \"About 
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Test all of the possible prime factors. The upper limit of your list of trial divisors is the integer part of \"sqrt%28675%29\". The calculator says that is about 25.98, so you only have to test prime divisors less than 25, namely 2, 3, 5, 7, 11, 13, 17, 19, and 23.\r
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\n" ); document.write( "\n" ); document.write( "675 is odd, so 2 is NOT a factor.\r
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\n" ); document.write( "\n" ); document.write( "6 + 7 + 5 = 18. 18 is divisible by 3, so 3 is a factor:
\n" ); document.write( "675/3 = 225\r
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\n" ); document.write( "\n" ); document.write( "2 + 2 + 5 = 9. 9 is divisible by 3, so 3 is a factor:
\n" ); document.write( "225/3 = 75\r
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\n" ); document.write( "\n" ); document.write( "7 + 5 = 12. 12 is divisible by 3, so 3 is a factor:
\n" ); document.write( "75/3 = 25\r
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\n" ); document.write( "\n" ); document.write( "25 = 5 * 5 (By the way, we knew that 5 was a factor right from the beginning because 675 ends in 5, and anything that ends in 5 or 0 is divisible by 5)\r
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\n" ); document.write( "\n" ); document.write( "In summary: 675 = 3 * 3 * 3 * 5 * 5\r
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