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National and Regional Contests
South Africa Contests
South Africa National Olympiad
1996 South africa National Olympiad
1
1
Part of
1996 South africa National Olympiad
Problems
(1)
Highest power of 2 dividing 1996!
Source: South African MO 1996 Q1
5/27/2012
Find the highest power of
2
2
2
that divides exactly into
1996
!
=
1
×
2
×
⋯
×
1996
1996!=1\times2\times\cdots\times1996
1996
!
=
1
×
2
×
⋯
×
1996
.
floor function
number theory unsolved
number theory