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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
If x is the product of the integers from 1 to 150, inclusive, and 5^y
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26 Jul 2022, 02:02
26 Jul 2022, 02:02
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Question Stats:
22% (01:50) correct
77% (02:40) wrong based on 9 sessions
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If x is the product of the integers from 1 to 150, inclusive, and 5^y is a factor of x, what is the greatest possible value of y ?
A) 30
B) 34
C) 36
D) 37
E) 39
A) 30
B) 34
C) 36
D) 37
E) 39
Re: If x is the product of the integers from 1 to 150, inclusive, and 5^y
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27 Jul 2022, 14:04
27 Jul 2022, 14:04
Expert Reply
\(x=150!\). We need to find the power of 5 in prime factorization of 150!.
150/5 + 150/5^2 + 150/5^3 = 30 + 6 + 1 = 37 (check here: http://gmatclub.com/forum/everything-ab ... 85592.html).
Answer: D.
150/5 + 150/5^2 + 150/5^3 = 30 + 6 + 1 = 37 (check here: http://gmatclub.com/forum/everything-ab ... 85592.html).
Answer: D.
Re: If x is the product of the integers from 1 to 150, inclusive, and 5^y
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29 Oct 2024, 09:54
29 Oct 2024, 09:54
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