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5
Prove that $abc$ is divisible by $60$.
Prove that $abc$ is divisible by $60$.
Source: Moldova JTST 2023
May 5, 2023
geometry
number theory
Problem Statement
The positive integers
a
,
b
,
c
a, b, c
a
,
b
,
c
are the lengths of the sides of a right triangle. Prove that
a
b
c
abc
ab
c
is divisible by
60
60
60
.
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