SOLUTION: i am an even ,3 digit palindromic number. The product of the digits is 8. What number am i?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: i am an even ,3 digit palindromic number. The product of the digits is 8. What number am i?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 323777: i am an even ,3 digit palindromic number. The product of the digits is 8. What number am i?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First, list the factors of 8.

8: 1, 2, 4, 8


Now, there are multiple ways to multiply to 8 using three numbers. For instance, 1*1*8=8 and 1*2*4=8. But because this number is a palindrome, this means that the first and last numbers are the same. This is only possible for 2*2*2=8


So the number is 222.