GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 15 Oct 2019, 04:57

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

The “length of integer x” refers to the number of prime

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Manager
Manager
avatar
Joined: 18 Oct 2010
Posts: 71
The “length of integer x” refers to the number of prime  [#permalink]

Show Tags

New post 15 May 2012, 10:33
1
13
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

65% (01:08) correct 35% (01:58) wrong based on 336 sessions

HideShow timer Statistics

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?

A. 13
B. 10
C. 9
D. 7
E. 6
Manager
Manager
avatar
Joined: 05 Dec 2011
Posts: 73
Location: Canada
Concentration: Accounting, Finance
GMAT Date: 09-08-2012
GPA: 3
Reviews Badge
Re: Prime factors , length of an Integer  [#permalink]

Show Tags

New post 15 May 2012, 10:45
3
+B

I would just notice that 2^10 is 1024 and 2 is the smallest number so take it to the largest exponent.

Can also list out to verify took 15 seconds.
_________________
Thanks = +1 Kudos

Study from reliable sources!!

Thursdays with Ron: http://www.manhattangmat.com/thursdays-with-ron.cfm

Gmat Prep Questions:
CR http://gmatclub.com/forum/gmatprepsc-105446.html
SC http://gmatclub.com/forum/gmatprepsc-105446.html
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58325
Re: The “length of integer x” refers to the number of prime  [#permalink]

Show Tags

New post 16 May 2012, 02:24
1
Joy111 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?

A. 13
B. 10
C. 9
D. 7
E. 6


To maximize the length of z we should minimize its prime base. The smallest prime is 2 and since 2^10=1,024<1,080 then the greatest possible length of integer z is 10.

Answer: B.
_________________
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58325
Re: The “length of integer x” refers to the number of prime  [#permalink]

Show Tags

New post 11 Oct 2013, 03:17
Bunuel wrote:
Joy111 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?

A. 13
B. 10
C. 9
D. 7
E. 6


To maximize the length of z we should minimize its prime base. The smallest prime is 2 and since 2^10=1,024<1,080 then the greatest possible length of integer z is 10.

Answer: B.


Check similar questions to practice:
for-any-integer-k-1-the-term-length-of-an-integer-108124.html
for-any-positive-integer-n-the-length-of-n-is-defined-as-126740.html
for-any-positive-integer-n-n-1-the-length-of-n-is-the-126368.html
_________________
Manager
Manager
avatar
Joined: 26 Sep 2013
Posts: 184
Concentration: Finance, Economics
GMAT 1: 670 Q39 V41
GMAT 2: 730 Q49 V41
Re: The “length of integer x” refers to the number of prime  [#permalink]

Show Tags

New post 14 Oct 2013, 17:43
Bunuel wrote:
Bunuel wrote:
Joy111 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?

A. 13
B. 10
C. 9
D. 7
E. 6


To maximize the length of z we should minimize its prime base. The smallest prime is 2 and since 2^10=1,024<1,080 then the greatest possible length of integer z is 10.

Answer: B.


Check similar questions to practice:
for-any-integer-k-1-the-term-length-of-an-integer-108124.html
for-any-positive-integer-n-the-length-of-n-is-defined-as-126740.html
for-any-positive-integer-n-n-1-the-length-of-n-is-the-126368.html



I keep doing poorly on the Number Property type questions, because I do not know a lot of the rules, is there a resource available for help with this? I looked in the GMAT Club Math Book, but I need more help.
Director
Director
User avatar
G
Joined: 23 Jan 2013
Posts: 525
Schools: Cambridge'16
Re: The “length of integer x” refers to the number of prime  [#permalink]

Show Tags

New post 16 Jan 2015, 03:12
concentrated on 1080 and lost time)

Idea is looking for degree of smallest prime number which is 2^10=1024

B
Board of Directors
User avatar
P
Joined: 17 Jul 2014
Posts: 2514
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
GMAT ToolKit User Reviews Badge
Re: The “length of integer x” refers to the number of prime  [#permalink]

Show Tags

New post 16 Oct 2016, 14:37
i started with the similar approach...
2x2x2x2x2x2x2x2x2x2 or 2^10 = 1024
maximum possible.
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13158
Re: The “length of integer x” refers to the number of prime  [#permalink]

Show Tags

New post 25 Sep 2018, 19:38
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Bot
Re: The “length of integer x” refers to the number of prime   [#permalink] 25 Sep 2018, 19:38
Display posts from previous: Sort by

The “length of integer x” refers to the number of prime

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne