Discussion
How many trailing zeros are there in 25! ?
Answer: C
Correct answer: 6
Count the factors of 5, since factors of 2 are always more plentiful.
\[\left\lfloor \frac{25}{5} \right\rfloor + \left\lfloor \frac{25}{25} \right\rfloor = 5 + 1 = 6\]
The second term is needed because 25 contributes two fives rather than one.
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