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Which of the following has/have exactly 4 positive integer
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13 Oct 2017, 02:06
13 Oct 2017, 02:06
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Question Stats:
69% (00:45) correct
30% (00:41) wrong based on 97 sessions
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Which of the following has/have exactly 4 positive integer factors?
Indicate \(all\) possible numbers.
❑ 4
❑ 6
❑ 8
❑ 12
❑ 14
Re: Which of the following has/have exactly 4 positive integer
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13 Oct 2017, 07:38
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
Re: Which of the following has/have exactly 4 positive integer
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08 Sep 2019, 12:47
08 Sep 2019, 12:47
I think the question needs to specify "distinct" factors. Otherwise, it can be confusing.
