SOLUTION: i am an even 3 digit palindrome [ex:464] the prouduct of the digitsis 8. what numder am i

Question 627432: i am an even 3 digit palindrome [ex:464] the prouduct of the digitsis 8. what numder am i
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Your number looks like aba for some non-negative integers a and b (where both are between 0 and 9)

"The product is 8" means a^2b = 8

The factors of 8 are 1, 2, 4, 8

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.

So a^2 = 1 ---> a = 1 and a^2 = 4 ---> a = 2

If a = 1, then b = 8

If a = 2, then b = 2

So the number is either 181 or 222

If the outer digits must be different from the inner digit, then we toss 222 to get the answer of 181.
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