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    Okay, how many multiples of5are there in the numbers from1to50? There's5, 10, 15, 20, 25,...

    50 ÷ 5 = 10, so there are ten multiples of5between1and50.

    But wait:25is5×5, so each multiple of25has an extra factor of5that I need to account for. How many multiples of25are between1and50? Since50 ÷ 25 = 2, there are two multiples of25between1and50.

      Adding these, I get10+2 =12trailing zeroes in50!

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Q: How many trailing zeros are there in 50 factorial?
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