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New Zealand MO
2020 New Zealand MO
1
max n such that 50!/2^n is an integer
max n such that 50!/2^n is an integer
Source: New Zealand MO 2020 Round 1 p1
September 20, 2021
number theory
Integer
Problem Statement
What is the maximum integer
n
n
n
such that
50
!
2
n
\frac{50!}{2^n}
2
n
50
!
is an integer?
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