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Which of the following integers does NOT have a divisor greater than 1

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Which of the following integers does NOT have a divisor greater than 1 [#permalink]

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New post 16 Mar 2011, 10:02
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Which of the following integers does NOT have a divisor greater than 1 that is the square of an integer?

(A) 75
(B) 42
(C) 32
(D) 25
(E) 12
[Reveal] Spoiler: OA

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Math Forum Moderator
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Re: Which of the following integers does NOT have a divisor greater than 1 [#permalink]

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New post 16 Mar 2011, 10:11
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Which of the following integers does NOT have a divisor greater than 1 that is the square of an integer?
(A) 75
(B) 42
(C) 32
(D) 25
(E) 12
******************
Prime factorization
75 = 5*5*3 = 5^2*3. Includes a perfect square 25
42 = 7*6 = 7*3*2. We got our candidate. No perfect squares here.
32 = 2^5 = 4^2*2. Includes a perfect square 4
25 = 5^2. Perfect square 25
12 = 2^2*3 = Perfect square 4.

All but 42 have perfect square in them as a factor.
*******************************************

Just write down all perfect squares greater than 1 and less than 75;
4,9,16,25,36,49,64

75 = 25*3. 25 is a perfect square
42 = 7*2*3. No perfect squares here
32 = 16*2. 16 is a perfect square
25. 25 is a perfect square
12 = 4*3. 4 is a perfect square

Ans: "B"
*********************************

I guess this is also somewhere else in the forum.
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Re: Which of the following integers does NOT have a divisor greater than 1 [#permalink]

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New post 17 Mar 2011, 01:44
The answer is B, all other choices have square of an integer > 1 as a factor.
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Re: Which of the following integers does NOT have a divisor greater than 1 [#permalink]

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New post 21 Apr 2011, 17:25
Answer is B.

thats the only integer which doesnt have an integer divisor>1 and also a square of other integer.

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Re: Which of the following integers does NOT have a divisor greater than 1 [#permalink]

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New post 21 Apr 2011, 18:58
Acer86 wrote:
Which of the following integers does NOT have a divisor greater than 1 that is the square of an integer?
(A) 75
(B) 42
(C) 32
(D) 25
(E) 12



I have no clue as to how to attempt this question. Can someone help me out :(

Converting the choices does the trick. Ans. B

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Re: Which of the following integers does NOT have a divisor greater than 1 [#permalink]

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New post 22 Apr 2011, 10:31
Correct Answer B

All others have square whose integer is greater than 1

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Re: Which of the following integers does NOT have a divisor greater than 1 [#permalink]

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New post 14 Sep 2017, 05:03
Hello from the GMAT Club BumpBot!

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Re: Which of the following integers does NOT have a divisor greater than 1 [#permalink]

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New post 18 Sep 2017, 05:46
Acer86 wrote:
Which of the following integers does NOT have a divisor greater than 1 that is the square of an integer?

(A) 75
(B) 42
(C) 32
(D) 25
(E) 12


Since the factors of 42 are: 1, 2, 3, 6, 7, 21, and 42, we see that none of those factors are perfect squares greater than 1.

Answer: B
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Re: Which of the following integers does NOT have a divisor greater than 1   [#permalink] 18 Sep 2017, 05:46
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