Copyright © University of Cambridge. All rights reserved.

'Divisible Palindrome' printed from http://nrich.maths.org/

Show menu

See all short problems arranged by curriculum topic in the short problems collection

What is the sum of the digits of the largest 4-digit palindromic number which is divisible by 15? [Palindromic numbers read the same backwards and forwards, e.g. 7227 or 10101.]


If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.


This problem is taken from the UKMT Mathematical Challenges.