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

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Intern
Joined: 29 Apr 2018
Posts: 8
Re: Is the integer n odd? (1) n is divisible by 3. (2) 2n is  [#permalink]

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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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Joined: 02 Sep 2009
Posts: 50544
Re: Is the integer n odd? (1) n is divisible by 3. (2) 2n is  [#permalink]

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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.
_________________
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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