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# What is the number of positive integers that divide k^2 but do not

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Senior Manager
Joined: 25 Dec 2018
Posts: 307
Location: India
Concentration: General Management, Finance
GMAT Date: 02-18-2019
GPA: 3.4
WE: Engineering (Consulting)
What is the number of positive integers that divide k^2 but do not  [#permalink]

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07 Apr 2019, 12:50
3
00:00

Difficulty:

85% (hard)

Question Stats:

29% (02:20) correct 71% (01:58) wrong based on 21 sessions

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What is the number of positive integers that divide k^2 but do not divide k, where k is a positive integer?

(1) k^2 has a total of 13 factors

(2) √k has a total of 4 factors
Intern
Joined: 26 Jan 2019
Posts: 1
Re: What is the number of positive integers that divide k^2 but do not  [#permalink]

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07 Apr 2019, 21:15
Anyone has an explanation for this problem ?
Intern
Joined: 06 Dec 2018
Posts: 12
Re: What is the number of positive integers that divide k^2 but do not  [#permalink]

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08 Apr 2019, 13:21
K is 18
1)K^2 has 13 factors and K is 18 so as 324 is divisible by 12 but 18 is not
2)root K has 4 factors which means root18 has 4 factor it doesn't say anything I suppose.
So from the above explanation A is the answer.
Is there any mistake in my understanding.
Feel free to guide me.
Re: What is the number of positive integers that divide k^2 but do not   [#permalink] 08 Apr 2019, 13:21
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