A number theory problem by Paola Ramírez

\[\lfloor1\rfloor\times\lfloor2\rfloor\times\lfloor3\rfloor\times\lfloor4\rfloor\times\cdots \times\lfloor100\rfloor\]

Find the trailing number of zeros of the product above.

\[ \]

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

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