MathDB
Problems
Contests
National and Regional Contests
Greece Contests
Greece Junior Math Olympiad
2008 Greece Junior Math Olympiad
1
Easiest Number Theory
Easiest Number Theory
Source: Archimedes Junior 2008
March 17, 2020
number theory
Problem Statement
Let
p
,
q
p,q
p
,
q
denote distinct prime numbers and
k
,
l
k,l
k
,
l
positive integers. Find all positive divisors of the numbers: (a)
A
=
p
k
A = p^k
A
=
p
k
(b)
B
=
p
k
q
l
B=p^kq^l
B
=
p
k
q
l
(c)
1944
1944
1944
Back to Problems
View on AoPS