It is currently 21 Oct 2017, 06:01

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

What is the sum of the different positive prime factors of 1092?

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41891

Kudos [?]: 129095 [0], given: 12194

What is the sum of the different positive prime factors of 1092? [#permalink]

Show Tags

New post 12 Nov 2014, 10:12
Expert's post
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

72% (00:53) correct 28% (01:14) wrong based on 198 sessions

HideShow timer Statistics

Tough and Tricky questions: Number Properties.



What is the sum of the different positive prime factors of 1092?

A. 5
B. 12
C. 20
D. 25
E. 27

Kudos for a correct solution.
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 129095 [0], given: 12194

Intern
Intern
avatar
Joined: 29 Sep 2014
Posts: 15

Kudos [?]: 15 [0], given: 11

Re: What is the sum of the different positive prime factors of 1092? [#permalink]

Show Tags

New post 12 Nov 2014, 11:05
First, we make a prime factorization by dividing 1096 by 2 then 3, etc.
1096=2^2*3*7*13
2*2+3+7+13=27

Answer (E)

Is there a smartest way to solve this problem?

Kudos [?]: 15 [0], given: 11

Manager
Manager
User avatar
Joined: 21 Jul 2014
Posts: 127

Kudos [?]: 162 [0], given: 12

GMAT ToolKit User
Re: What is the sum of the different positive prime factors of 1092? [#permalink]

Show Tags

New post 12 Nov 2014, 11:25
gillesalex07 wrote:
First, we make a prime factorization by dividing 1096 by 2 then 3, etc.
1096=2^2*3*7*13
2*2+3+7+13=27

Answer (E)

Is there a smartest way to solve this problem?



Agree with gillesalex07

The image below is an example of a factorization tree that might make it simpler to do the dividing quickly and with minimal error.

Image

Kudos [?]: 162 [0], given: 12

3 KUDOS received
Verbal Forum Moderator
Verbal Forum Moderator
User avatar
Joined: 16 Jun 2012
Posts: 1127

Kudos [?]: 3480 [3], given: 123

Location: United States
Premium Member
Re: What is the sum of the different positive prime factors of 1092? [#permalink]

Show Tags

New post 12 Nov 2014, 12:26
3
This post received
KUDOS
I think answer is D: 25

The question is: What is the sum of the different positive prime factors of 1092?

1092 = 2^2*3*7*13

Sum of the DIFFERENT positive prime factors = 2 + 3 + 7 + 13 = 25
_________________

Please +1 KUDO if my post helps. Thank you.

"Designing cars consumes you; it has a hold on your spirit which is incredibly powerful. It's not something you can do part time, you have do it with all your heart and soul or you're going to get it wrong."

Chris Bangle - Former BMW Chief of Design.

Kudos [?]: 3480 [3], given: 123

Current Student
avatar
Joined: 07 Oct 2014
Posts: 160

Kudos [?]: 42 [0], given: 17

GMAT 1: 710 Q48 V39
WE: Sales (Other)
Re: What is the sum of the different positive prime factors of 1092? [#permalink]

Show Tags

New post 12 Nov 2014, 13:14
pqhai wrote:
I think answer is D: 25

The question is: What is the sum of the different positive prime factors of 1092?

1092 = 2^2*3*7*13

Sum of the DIFFERENT positive prime factors = 2 + 3 + 7 + 13 = 25


Agreed - I sped through this at first and had the wrong answer until I re-read the question.

Kudos [?]: 42 [0], given: 17

SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1853

Kudos [?]: 2626 [0], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: What is the sum of the different positive prime factors of 1092? [#permalink]

Show Tags

New post 12 Nov 2014, 20:02
gillesalex07 wrote:
First, we make a prime factorization by dividing 1096 by 2 then 3, etc.
1096=2^2*3*7*13
2*2+3+7+13=27

Answer (E)

Is there a smartest way to solve this problem?



Original question has 1092
_________________

Kindly press "+1 Kudos" to appreciate :)

Kudos [?]: 2626 [0], given: 193

2 KUDOS received
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1853

Kudos [?]: 2626 [2], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: What is the sum of the different positive prime factors of 1092? [#permalink]

Show Tags

New post 12 Nov 2014, 20:04
2
This post received
KUDOS
\(1092 = 2^2 * 3^1 * 7^1 * 13^1\)

Addition = 2+3+7+13 = 25

Answer = D
_________________

Kindly press "+1 Kudos" to appreciate :)

Kudos [?]: 2626 [2], given: 193

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41891

Kudos [?]: 129095 [1], given: 12194

Re: What is the sum of the different positive prime factors of 1092? [#permalink]

Show Tags

New post 13 Nov 2014, 09:18
1
This post received
KUDOS
Expert's post
Bunuel wrote:

Tough and Tricky questions: Number Properties.



What is the sum of the different positive prime factors of 1092?

A. 5
B. 12
C. 20
D. 25
E. 27

Kudos for a correct solution.


Official Solution:

What is the sum of the different positive prime factors of 1092?

A. 5
B. 12
C. 20
D. 25
E. 27

The question asks for the sum of the different prime factors of 1092.

The first step is to find the prime factorization of 1092. Since the last two digits of 1092 are divisible by 4 (\(92 = 80 + 12 = 4 \times 23\)), we can start by dividing 1092 by 4, giving us \(1092 \div 4 = 273\). Since 4 is equal to \(2 \times 2\), 1092 has two factors of 2.

Now, note that the digits of 273 add up to 12, which means that 3 is one of its factors: \(273 \div 3 = 91\).

The prime factors of 91 are 7 and 13 (there is no easy divisibility rule for 7).

So the prime factorization of 1092 is: \(1092 = 2 \times 2 \times 3 \times 7 \times 13\).

Now take the sum of the different factors: \(2 + 3 + 7 + 13 = 25\).


Answer: D
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 129095 [1], given: 12194

Manager
Manager
User avatar
Joined: 21 Jul 2014
Posts: 127

Kudos [?]: 162 [0], given: 12

GMAT ToolKit User
Re: What is the sum of the different positive prime factors of 1092? [#permalink]

Show Tags

New post 13 Nov 2014, 09:26
Looks like I missed an important word in the question. Good catch on "Different" prime factors. I agree that the answer is D.

Kudos [?]: 162 [0], given: 12

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 16605

Kudos [?]: 273 [0], given: 0

Premium Member
Re: What is the sum of the different positive prime factors of 1092? [#permalink]

Show Tags

New post 29 May 2017, 10:40
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 273 [0], given: 0

Director
Director
avatar
G
Joined: 02 Sep 2016
Posts: 776

Kudos [?]: 41 [0], given: 267

Premium Member CAT Tests
Re: What is the sum of the different positive prime factors of 1092? [#permalink]

Show Tags

New post 03 Sep 2017, 03:24
Sum of all prime factors would be:

2+2+3+7+13= 27

But sum of distinct/different factors would be:

2+3+7+13= 25

Sum of all factors of 1092 would be:
(2^3 - 1)(3^2 -1)(7^2 -1)(13^2-1) divided by (2-1)(3-1)(7-1)(13-1)

=7*8*48*168 divided by 1*2*6*12
_________________

Help me make my explanation better by providing a logical feedback.

If you liked the post, HIT KUDOS !!

Don't quit.............Do it.

Kudos [?]: 41 [0], given: 267

Re: What is the sum of the different positive prime factors of 1092?   [#permalink] 03 Sep 2017, 03:24
Display posts from previous: Sort by

What is the sum of the different positive prime factors of 1092?

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.