MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - Other Middle and High School Contests
SDML/SDMO Contests
SDMO (Middle School)
2008 SDMO (Middle School)
4
Triples multiplying to square of 2008
Triples multiplying to square of 2008
Source: 2008 SDMO Middle School Problem 4
August 24, 2016
Problem Statement
Find the number of ordered triples of positive integers
(
a
,
b
,
c
)
\left(a,b,c\right)
(
a
,
b
,
c
)
such that
a
×
b
×
c
=
200
8
2
a\times b\times c=2008^2
a
×
b
×
c
=
200
8
2
.
Back to Problems
View on AoPS