What is the <strong>LARGEST</strong> power of 10 that divides the product 29 \times 28 \times 27 \times ... 2 \times 1?

Explanation

The product is 29!. The power of 10 is determined by the number of trailing zeros, which is given by \lfloor 29/5 \rfloor + \lfloor 29/25 \rfloor = 5 + 1 = 6.

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