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If n = 2pq, where p and q are distinct prime numbers greater than 2, h
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16 Sep 2021, 22:31
16 Sep 2021, 22:31
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Question Stats:
55% (01:00) correct
45% (01:13) wrong based on 20 sessions
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If \(n = 2pq\), where p and q are distinct prime numbers greater than 2, how many different positive even divisors does n have, including n ?
(A) Two
(B) Three
(C) Four
(D) Six
(E) Eight
(A) Two
(B) Three
(C) Four
(D) Six
(E) Eight
Re: If n = 2pq, where p and q are distinct prime numbers greater than 2, h
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16 Sep 2021, 22:42
16 Sep 2021, 22:42
1
Consider p , q to be any two prime numbers , for eg:
5 and 7
7 * 5 * 2 = 70 . Even divisiors include : 2,14,10 and 70
Hence 4.
Similarly consider 5 and 3
5 * 3* 2 = 30 Even divisors include 6,10,30,2
5 and 7
7 * 5 * 2 = 70 . Even divisiors include : 2,14,10 and 70
Hence 4.
Similarly consider 5 and 3
5 * 3* 2 = 30 Even divisors include 6,10,30,2
Re: If n = 2pq, where p and q are distinct prime numbers greater than 2, h
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16 Sep 2021, 22:51
16 Sep 2021, 22:51
2
2p
2q
and 2pq=n
Total Four
2p
2q
and 2pq=n
Total Four
