SOLUTION: All the six-digit numbers that can be formed using the digits 2,3,5,6,7, and 9 are written. If each digit can be used only once, what is the largest of these numbers that is divisi

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: All the six-digit numbers that can be formed using the digits 2,3,5,6,7, and 9 are written. If each digit can be used only once, what is the largest of these numbers that is divisi      Log On


   

Question 1104303: All the six-digit numbers that can be formed using the digits 2,3,5,6,7, and 9 are written. If each digit can be used only once, what is the largest of these numbers that is divisible by 11?
Answer by ikleyn(52890) About Me  (Show Source):
You can put this solution on YOUR website!
.
975623.

Use the divisibility rule by 11: 

     The number is divisible by 11 if and only if the alternate sum of its digits is divisible by 11.


Regarding this rule, see the lesson
    - Divisibility by 11 rule
in this site.

Then,  if you just know this rule,  all you need is to place the digits in reasonable order.