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2000 CentroAmerican
1
Divisors of 26
Divisors of 26
Source: Central American Olympiad 2000, problem 1
August 8, 2007
calculus
integration
Problem Statement
Find all three-digit numbers
a
b
c
abc
ab
c
(with
a
≠
0
a \neq 0
a
=
0
) such that
a
2
+
b
2
+
c
2
a^{2}+b^{2}+c^{2}
a
2
+
b
2
+
c
2
is a divisor of 26.
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