Factorial Product
Number Theory
Level
3
Let \(N = 1!\cdot 2! \cdot 3! \cdot 4! \ldots 9! \cdot 10!\). Let \(2^k\) be the largest power of \(2\) that divides \(N\). What is the value of \(k\)?
Details and assumptions
\(n! = n\times (n-1) \times (n-2) \ldots 2 \times 1\).
by
Arron Kau