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by das.ashmita » Tue Oct 02, 2012 5:45 am
The "length of integer x" refers to the number of prime factors, not necessarily distinct, that x has. (If x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5.) What is the greatest possible length of integer z if z < 1,080?

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by anuprajan5 » Tue Oct 02, 2012 6:14 am
Ashmita,

I kind of saw a similar question on the forums and the expert mentioned that length questions might not appear on the GMAT. That being said, I am giving it a shot. My rationale is that if we want to increase the length, it might be easier to take the smallest prime and see what we get.

What I found was that Z = 2^10 = 1024 which means that the length of z cannot be more than 10 if z<1080.

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by Brent@GMATPrepNow » Tue Oct 02, 2012 6:26 am
anuprajan5 wrote:Ashmita,
I kind of saw a similar question on the forums and the expert mentioned that length questions might not appear on the GMAT.
I think I'm the expert your referring to (in this post: https://www.beatthegmat.com/length-t122379.html)

I didn't mean to suggest that this could never be an official GMAT question. I meant to say that it could never be an official GMAT question if it didn't the define "length of integer."

In the question in the above link, the term is not defined.

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by Brent@GMATPrepNow » Tue Oct 02, 2012 6:31 am
das.ashmita wrote:The "length of integer x" refers to the number of prime factors, not necessarily distinct, that x has. (If x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5.) What is the greatest possible length of integer z if z < 1,080?

13
10
9
7
6

OA B
To maximize the length of z, we should use the smallest possible prime number (which is 2)
We know that 2^10 = 1024 and 2^11 = 2048
Since x < 1080, z cannot equal 2048

So, if z = 1024 it will have length 10.
So, the answer here is [spoiler]10 (B)[/spoiler]

Cheers,
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by anuprajan5 » Tue Oct 02, 2012 7:01 am
Brent@GMATPrepNow wrote:
anuprajan5 wrote:Ashmita,
I kind of saw a similar question on the forums and the expert mentioned that length questions might not appear on the GMAT.
I think I'm the expert your referring to (in this post: https://www.beatthegmat.com/length-t122379.html)

I didn't mean to suggest that this could never be an official GMAT question. I meant to say that it could never be an official GMAT question if it didn't the define "length of integer."

In the question in the above link, the term is not defined.

Cheers,
Brent

My bad, Brent.

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