A number theory problem by Paola Ramírez

\[\large \lfloor\sqrt{1}\rfloor\times\lfloor\sqrt{2}\rfloor\times\lfloor\sqrt{3}\rfloor\times\lfloor\sqrt{4}\rfloor\times\cdots \times\lfloor\sqrt{100}\rfloor\]

Find the trailing number of zeros of the product above.

\[ \]

Notation: \( \lfloor \cdot \rfloor \) denotes the floor function.

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