+1678 A palindrome is a number that is the same when read forwards and backwards, such as 43234. Find the number of 4-digit palindromes that are divisible by 8.
+297 Well, to make it divisible by 8, the first 3 digits have to be divisible by 8. Since we know it is a palindrome, it is in the format \(abba\). We also know that \(bba\) is divisible by 8. The total number of these are 008, 112, 224, 336, 440, 448, 552, 664, 776, 880, 888, 992, which is 12 total posssible combinations.
Hoped this helped, IC
