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Bangladesh Mathematical Olympiad
2013 Bangladesh Mathematical Olympiad
5
5
Part of
2013 Bangladesh Mathematical Olympiad
Problems
(1)
Integer divided by prime number
Source: Bangladesh National MO 2013
3/5/2019
Higher Secondary P5Let
x
>
1
x>1
x
>
1
be an integer such that for any two positive integers
a
a
a
and
b
b
b
, if
x
x
x
divides
a
b
ab
ab
then
x
x
x
either divides
a
a
a
or divides
b
b
b
. Find with proof the number of positive integers that divide
x
x
x
.
number theory
Bdmo