# Divisibility by 11 for all palindromes with an even number of digits

by ripcity4545
Tags: mod, modular, modulo, palindrome
 HW Helper P: 3,307 how about starting with a low form & seeing if you can generalise from there.... so start with: $$10^3 a_0 + 10^2 a_1 + 10^1 a_1 + a_0 = (10^3+1)a_0 + (10^2+10)a_1 = (10^3+1)a_0 + 10 (11)a_1$$ so for this case it remains to show a_0(10^3+1) is divisible by 11...