document.write( "Question 550622: find the prime factorization of 702 please show all of your work.\r
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Algebra.Com's Answer #358918 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Below is a factor tree.  You should know some of the smaller prime\r\n" );
document.write( "numbers: 2,3,5,7,11,13,17,19,23,29,31,37,41\r\n" );
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document.write( "                 702\r\n" );
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document.write( "               351× 2 <-(prime)\r\n" );
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document.write( "             117× 3 <-(prime)\r\n" );
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document.write( "            39× 3 <-(prime)\r\n" );
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document.write( "(prime)-> 13× 3 <-(prime) \r\n" );
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document.write( "I wrote 702 on the top line. Then I found the smallest prime that \r\n" );
document.write( "would divide evenly into 702.  That was 2, So I broke 702 down to \r\n" );
document.write( "351×2 on the second line. Then I found the smallest prime that \r\n" );
document.write( "would divide evenly into 351. That was 3, So I broke 351 down to \r\n" );
document.write( "117×3 on the third line. Then I found the smallest prime that would \r\n" );
document.write( "divide evenly into 117. That was 3, So I broke 117 down to 39×3 on \r\n" );
document.write( "the fourth line.  Then I found the smallest prime that would divide \r\n" );
document.write( "evenly into 39. That was 3, So I broke 39 down to 13×3 on the fifth \r\n" );
document.write( "line. Then I discovered that 13 was also prime, and so I knew that I\r\n" );
document.write( "was done with the tree.\r\n" );
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document.write( "So I put down the product of all the primes from the top down and\r\n" );
document.write( "got:\r\n" );
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document.write( "    702 = 2×3×3×3×13\r\n" );
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document.write( "and since 3 appears 3 times I write it simpler using an exponent of 3:\r\n" );
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document.write( "    702 = 2×3³×13\r\n" );
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document.write( "Edwin

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