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2
2
Part of
1984 AIME Problems
Problems
(1)
Special Multiple of 15
Source:
12/1/2005
The integer
n
n
n
is the smallest positive multiple of 15 such that every digit of
n
n
n
is either 8 or 0. Compute
n
15
\frac{n}{15}
15
n
ā
.
number theory
divisibility tests