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Which of the following has/have exactly 4 positive integer
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13 Oct 2017, 02:06

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Which of the following has/have exactly 4 positive integer factors?

Indicate \(all\) possible numbers.

❑ 4

❑ 6

❑ 8

❑ 12

❑ 14

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Re: Which of the following has/have exactly 4 positive integer
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13 Oct 2017, 07:38

1

Carcass wrote:

Which of the following has/have exactly 4 positive integer factors?

Indicate \(all\) possible numbers.

❑ 4

❑ 6

❑ 8

❑ 12

❑ 14

Show: :: OA

B,C,E

Now

\(4 =2^2\)

Therefore no. of factors = 3 (since no of factors of \(n^m\) = m+1)

\(6 = 2^1 * 3^1\)

Therefore no. of factors = 4 (since no of factors of \(n^m\) and \(x^y\)= (m+1) * (y+1))

\(8 = 2^3\)

Therefore no. of factors = 4

\(12 = 2^2 * 3^1\)

Therefore no. of factors = 6

\(14 = 2^1 * 7^1\)

Therefore no. of factors = 4

Ans - B,C,E

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Re: Which of the following has/have exactly 4 positive integer
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08 Sep 2019, 12:47

I think the question needs to specify "distinct" factors. Otherwise, it can be confusing.

Re: Which of the following has/have exactly 4 positive integer
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27 Aug 2021, 21:26

Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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