Discussion
What is the highest power of 10 that divides 75! ?
Answer: C
The highest power of 10 is determined by the number of trailing zeros, which is limited by the number of factors of 5. Power of 5 in 75! = \(\lfloor 75/5 \rfloor + \lfloor 75/25 \rfloor = 15 + 3 = 18\). The highest power of 10 is 18.
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