SOLUTION: A palindrome number is a number that is the same when it�s digits are reversed. Find the largest palindrome number that is the product of two 2-digit numbers?

Question 1116259: A palindrome number is a number that is the same when it�s digits are reversed. Find the largest palindrome number that is the product of two 2-digit numbers?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
, so a product of two two-digit numbers is at most ,
and a palindrome that is a product of two two-digit numbers is less than .
The largest palindrome that is less than is .

If the first two digits are and in that order,
the number's digit read like ,
and the number is a multiple of ,
because its value is
.
If that factor can be further factored as
a two-digit number times a single digit number ,
the palindrome can be factored as the product of the two-digit numbers and :

For example, , with can be factored as
,
and does not work.

If we try all possible values for , we find
AMP Rendering Error of 'matrix(2,8,
b,6,5,4,3,2,1,0,
91a+10b,879,869,859,839,829,819)'. .
Out of all those values for ,
none is divisible by , or , or ,
and only two of them are divisible by .
That rules out all possible digit factors except and , is divisible by .
So, with ,

is a palindrome that can be written as a product of two two-digit numbers.
There will be others, such as ,
but is the largest palindrome number that is the product of two 2-digit numbers.

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