document.write( "Question 627432: i am an even 3 digit palindrome [ex:464] the prouduct of the digitsis 8. what numder am i \n" ); document.write( "
Algebra.Com's Answer #394924 by jim_thompson5910(35256)\"\" \"About 
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Your number looks like aba for some non-negative integers a and b (where both are between 0 and 9)\r
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\n" ); document.write( "\n" ); document.write( "\"The product is 8\" means a^2b = 8\r
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\n" ); document.write( "\n" ); document.write( "The factors of 8 are 1, 2, 4, 8\r
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\n" ); document.write( "\n" ); document.write( "So a^2 and b could be any of the factors listed above. However, a^2 is limited to 1 and 4 since these are perfect squares.\r
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\n" ); document.write( "\n" ); document.write( "So a^2 = 1 ---> a = 1 and a^2 = 4 ---> a = 2\r
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\n" ); document.write( "\n" ); document.write( "If a = 1, then b = 8\r
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\n" ); document.write( "\n" ); document.write( "If a = 2, then b = 2\r
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\n" ); document.write( "\n" ); document.write( "So the number is either 181 or 222\r
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\n" ); document.write( "\n" ); document.write( "If the outer digits must be different from the inner digit, then we toss 222 to get the answer of 181. \n" ); document.write( "
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