How to generalize it?
Number Theory
Level
4
Find the largest non-negative integer \(n\) such that \(2^n\) is a factor \[\left\lfloor\sqrt2\right\rfloor\times\left\lfloor\sqrt3\right\rfloor\times\left\lfloor\sqrt4\right\rfloor\times\cdots\times\left\lfloor\sqrt{99}\right\rfloor\]
This is a part of the Set.
by
Khang Nguyen Thanh