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Austrian MO Beginners' Competition
2004 Austria Beginners' Competition
1
1
Part of
2004 Austria Beginners' Competition
Problems
(1)
min 4-digit , when divided by 3 gives a 4-digit number with the same digits
Source: 2004 Austria Beginners' Competition p1
10/4/2022
Find the smallest four-digit number that when divided by
3
3
3
gives a four-digit number with the same digits. (Note: Four digits means that the thousand Unit digit must not be
0
0
0
.)
number theory
Digits