MathDB
Problems
Contests
National and Regional Contests
Poland Contests
Polish Junior Math Olympiad
2018 Polish Junior Math Olympiad
2018 Polish Junior MO First Round
3
3
Part of
2018 Polish Junior MO First Round
Problems
(1)
Show that product is divisible by 48
Source: XIII Polish Junior MO 2018 First Round - Problem 3
4/24/2018
Prime numbers
a
,
b
,
c
a, b, c
a
,
b
,
c
are bigger that
3
3
3
. Show that
(
a
−
b
)
(
b
−
c
)
(
c
−
a
)
(a - b)(b - c)(c - a)
(
a
−
b
)
(
b
−
c
)
(
c
−
a
)
is divisible by
48
48
48
.
number theory
prime numbers
Divisibility
Poland