FIND THE SMALLEST POSITIVE INTEGER K SUCH THAT !K ENDS WITH 500...
4.
Find the smallest positive integer k such that !
k
ends with 500 zeros.
[Note:
k
!
=
k k
(
−
1
)(
k
−
2 ... 3 2 1
) ( )( )( )
].
Solution:
k=2005.
4.
Find the smallest positive integer k such that !
k
ends with 500 zeros.
[Note:
k
!
=
k k
(
−
1
)(
k
−
2 ... 3 2 1
) ( )( )( )
].
Solution:
k=2005.