Last visit was: 26 Dec 2024, 23:27 It is currently 26 Dec 2024, 23:27
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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 GRE 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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

The number of distinct factors of 10

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
sandy
Retired Moderator
Joined: 07 Jun 2014
Posts: 4815
Own Kudos [?]: 11274 [6]
Given Kudos: 0
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Send PM
The number of distinct factors of 10 [#permalink] New post   12 Aug 2018, 15:56
4
Expert Reply
2
Bookmarks
00:00

Question Stats:

66% (00:37) correct 33% (00:34) wrong based on 130 sessions

Hide Show timer Statistics

Quantity A
Quantity B
The number of distinct factors of 10
The number of distinct prime factors of 210


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
ShowHide Answer
Official Answer
C
Most Helpful Community Reply
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12238 [5]
Given Kudos: 136
Send PM

Top Member of the Month
Re: The number of distinct factors of 10 [#permalink] New post   30 Jun 2020, 10:18
4
1
Bookmarks
shubham2312 wrote:
A doubt regarding this question

why we can't take -1 or -10 as a factor

as per the article -Technically, in the world of mathematics - the answer to this question is yes. There are negative factors and multiples of numbers. For example, -4 and -3 are factors of 12, -24 is a multiple of 3, and the factors of 4 would be -4, -2, -1, 1, 2, 4.

But what exactly does this mean in relation to the GRE and/or the GMAT?

For the GRE: This concept is mentioned in the ETS GRE Math Conventions PDF. You can find it here. The factors of an integer include both the positive and negative integers. This also applies for multiples.

Therefore, technically, if a GRE question were to ask "How many factors does 6 have?" The answer would be 8: (-6, -3, -2, -1, 1, 2, 3, 6). With that said, questions are very likely to specify "positive factors" or "positive integers" on the GRE. We haven't seen an official question before that required knowing that negative factors/multiples exist - but that doesn't mean those questions won't show up at all so you still want to be diligent about this. :)

we should consider them also.

P.S-why there is a restriction
never encountered this issue on GC


I agree with everything you've said. Here's what the test-makers write:
Image

If this were an official GRE question, there would be some language that would restrict the factors (divisors) to POSITIVE values only.
For example: https://gre.myprepclub.com/forum/the-numbe ... 13805.html

Unfortunately, there are several reputable test prep companies that don't add any kind of restriction (even though that restriction is implied in the official answer)
This has been a pet peeve of mine for quite a while.

Rest assured, the GRE will always have some text that restricts the factors (divisors) to POSITIVE values only.

Cheers,
Brent
General Discussion
User avatar
sandy
Retired Moderator
Joined: 07 Jun 2014
Posts: 4815
Own Kudos [?]: 11274 [2]
Given Kudos: 0
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Send PM
Re: The number of distinct factors of 10 [#permalink] New post   15 Aug 2018, 05:09
2
Expert Reply
Explanation

The factors of 10 are 1 & 10, and 2 & 5. Since there are four factors, Quantity A is 4.

The prime factors of 210 are 2, 3, 5, and 7:

Attachment:
Capture.PNG
Capture.PNG [ 63.82 KiB | Viewed 14832 times ]


Because 210 has four prime factors, Quantity B is also 4. The two quantities are equal.
avatar
parseltongue
Intern
Intern
Joined: 13 Jul 2018
Posts: 33
Own Kudos [?]: 29 [0]
Given Kudos: 0
GRE 1: Q159 V151
GPA: 4
WE:Programming (Computer Software)
Send PM
Reviews Badge
Re: The number of distinct factors of 10 [#permalink] New post   15 Aug 2018, 17:01
Factorisation is the quickest way to solve it. Since after the factorisation of 10, we'll already have the prime factors of 10, we just need to factorize 21 to get the count for 210.
avatar
shubham2312
Intern
Intern
Joined: 16 Aug 2015
Posts: 4
Own Kudos [?]: 3 [2]
Given Kudos: 0
Send PM
Re: The number of distinct factors of 10 [#permalink] New post   30 Jun 2020, 09:55
1
1
Bookmarks
A doubt regarding this question

why we can't take -1 or -10 as a factor

as per the article -Technically, in the world of mathematics - the answer to this question is yes. There are negative factors and multiples of numbers. For example, -4 and -3 are factors of 12, -24 is a multiple of 3, and the factors of 4 would be -4, -2, -1, 1, 2, 4.

But what exactly does this mean in relation to the GRE and/or the GMAT?

For the GRE: This concept is mentioned in the ETS GRE Math Conventions PDF. You can find it here. The factors of an integer include both the positive and negative integers. This also applies for multiples.

Therefore, technically, if a GRE question were to ask "How many factors does 6 have?" The answer would be 8: (-6, -3, -2, -1, 1, 2, 3, 6). With that said, questions are very likely to specify "positive factors" or "positive integers" on the GRE. We haven't seen an official question before that required knowing that negative factors/multiples exist - but that doesn't mean those questions won't show up at all so you still want to be diligent about this. :)

we should consider them also.

P.S-why there is a restriction
never encountered this issue on GC
avatar
POORVIBANSAL
Manager
Manager
Joined: 09 Oct 2019
Posts: 114
Own Kudos [?]: 60 [0]
Given Kudos: 0
Send PM
Re: The number of distinct factors of 10 [#permalink] New post   04 Jul 2020, 12:59
2
Prime factors of 10- 1x10, 2x5
Prime factors of 210- 3x5x2x7

Hence Proved
4=4

therefore C

Please give a kudos
avatar
B
Aprazors
Intern
Intern
Joined: 08 Apr 2021
Posts: 12
Own Kudos [?]: 1 [0]
Given Kudos: 29
Send PM
Re: The number of distinct factors of 10 [#permalink] New post   21 May 2021, 21:08
sandy wrote:
Quantity A
Quantity B
The number of distinct factors of 10
The number of distinct prime factors of 210


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.



I think distinct positive factor is the correct question
Total no Distinct factors of 10 are 8 then considering all the negative factors
avatar
B
raghav4202
Intern
Intern
Joined: 01 Oct 2021
Posts: 48
Own Kudos [?]: 13 [1]
Given Kudos: 44
Send PM
Re: The number of distinct factors of 10 [#permalink] New post   21 Feb 2024, 10:03
1
shubham2312 wrote:
A doubt regarding this question

why we can't take -1 or -10 as a factor

as per the article -Technically, in the world of mathematics - the answer to this question is yes. There are negative factors and multiples of numbers. For example, -4 and -3 are factors of 12, -24 is a multiple of 3, and the factors of 4 would be -4, -2, -1, 1, 2, 4.

But what exactly does this mean in relation to the GRE and/or the GMAT?

For the GRE: This concept is mentioned in the ETS GRE Math Conventions PDF. You can find it here. The factors of an integer include both the positive and negative integers. This also applies for multiples.

Therefore, technically, if a GRE question were to ask "How many factors does 6 have?" The answer would be 8: (-6, -3, -2, -1, 1, 2, 3, 6). With that said, questions are very likely to specify "positive factors" or "positive integers" on the GRE. We haven't seen an official question before that required knowing that negative factors/multiples exist - but that doesn't mean those questions won't show up at all so you still want to be diligent about this. :)

we should consider them also.

P.S-why there is a restriction
never encountered this issue on GC


So if we consider this should.t the answer to this question be A, since factors of 10 are 1,2,5,10,-1,-2,-5,-10 and prime factors for 210 are 2,5,7,3
User avatar
G
HarishKumar
GRE Instructor
Joined: 24 Dec 2018
Posts: 1066
Own Kudos [?]: 1432 [1]
Given Kudos: 24
Send PM
Re: The number of distinct factors of 10 [#permalink] New post   26 Feb 2024, 03:11
1
Quantity A

The number of distinct factors of 10

1, 2, 5, 10 = 4

or including negative factors

1, -1, 2, -2, 5, -5, 10, -10 = 8

Quantity B

The number of distinct prime factors of 210

2, 3, 5, 7 = 4

or including negative factors

2, -2, 3, -3, 5, -5, 7, -7 = 8

Either way, BOTH quantities are EQUAL

The answer is C.
Prep Club for GRE Bot
gmatclubot
Re: The number of distinct factors of 10 [#permalink]
26 Feb 2024, 03:11
Moderators:
adewale223
GRE Instructor
88 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1115 posts
VibhuAnurag
GRE Instructor
234 posts

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

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact