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# Which of the following has/have exactly 4 positive integer

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Which of the following has/have exactly 4 positive integer [#permalink]  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

[Reveal] Spoiler: OA
B,C,E
[Reveal] Spoiler: OA

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Re: Which of the following has/have exactly 4 positive integer [#permalink]  13 Oct 2017, 07:38
Carcass wrote:

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

Indicate $$all$$ possible numbers.

❑ 4

❑ 6

❑ 8

❑ 12

❑ 14

[Reveal] Spoiler: 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   [#permalink] 13 Oct 2017, 07:38
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# Which of the following has/have exactly 4 positive integer

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