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Bosnia and Herzegovina JBMO TST 2014 Problem 1

Source: Bosnia and Herzegovina Junior Balkan Mathematical Olympiad TST 2014

September 16, 2018

number theoryDigitsdivisible

Problem Statement

Let

x

y

and

z

be nonnegative integers. Find all numbers in form

\overline{13xy45z}

divisible with

792

, where

x

y

and

z

are digits.