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GMAT Problem Solving (PS) | Re: What is the greatest value of x such that 10^x is a factor of 20! ?

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Bunuel wrote:

What is the greatest value of x such that 10^x is a factor of 20! ?

A. 1
B. 2
C. 3
D. 4
E. 5


10 = 2*5

The highest value of 2 in 20! will be - 18

20/2 = 10
10/2 = 5
5/2 = 2
2/2 = 1

The highest value of 5 in 20! will be - 4

20/5 = 4

Since, there are fewer 5's than 2 , the greatest value of x such that 10^x is a factor of 20! will be x = 4

Hence, correct answer will be (D) 4

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