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Problem Solving (PS) | Re: If 73! has 16 zeroes at the end, how many zeroes will 80!

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emmak wrote:

If 73! has 16 zeroes at the end, how many zeroes will 80! have at the end?

A. 16
B. 17
C. 18
D. 19
E. 20


Since we are given that 73! has 16 zeros at the end, determining the number of zeros 80! will have at the end is the same as determining the number of extra zeros that will be produced from the following product:

74 x 75 x 76 x 77 x 78 x 79 x 80

To determine the number of zeros, we need to determine the number of pairs of fives and twos that are created from the above product. Note that
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