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Is the integer n odd? (1) n is divisible by 3. (2) 2n is

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Re: Is the integer n odd? (1) n is divisible by 3. (2) 2n is  [#permalink]

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New post 09 Nov 2018, 11:06
Bunuel wrote:
ajit257 wrote:
Is the integer n odd?
(1) n is divisible by 3.
(2) 2n is divisible by twice as many positive integers as n.


What do you mean by the second statement.


Merging similar topics.

2n is divisible by twice as many positive integers as n, means that the # of factors of 2n is twice the # of factors of n.

For example: # of factors of 3 is two (1, and 3 itself) and the # of factors of 2*3=6 is four (1, 2, 3, and 6 itself), so the # of factors of 6=2n is twice the # of factors of 3=n.

Hope it's clear.


Bunuel: Is this applicable only on odd numbers?

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Re: Is the integer n odd? (1) n is divisible by 3. (2) 2n is  [#permalink]

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New post 10 Nov 2018, 05:11
s111 wrote:
Bunuel wrote:
ajit257 wrote:
Is the integer n odd?
(1) n is divisible by 3.
(2) 2n is divisible by twice as many positive integers as n.


What do you mean by the second statement.


Merging similar topics.

2n is divisible by twice as many positive integers as n, means that the # of factors of 2n is twice the # of factors of n.

For example: # of factors of 3 is two (1, and 3 itself) and the # of factors of 2*3=6 is four (1, 2, 3, and 6 itself), so the # of factors of 6=2n is twice the # of factors of 3=n.

Hope it's clear.


Bunuel: Is this applicable only on odd numbers?

Posted from my mobile device


# of factors of 2 is two (1, and 2 itself) and the # of factors of 2*3=6 is four (1, 2, 3, and 6 itself), so the # of factors of 6=2n is twice the # of factors of 2=n.
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Re: Is the integer n odd? (1) n is divisible by 3. (2) 2n is &nbs [#permalink] 10 Nov 2018, 05:11

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Is the integer n odd? (1) n is divisible by 3. (2) 2n is

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