Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 03 May 2015, 05:00

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# How many total number of distinct positive factors are there

Author Message
TAGS:
Director
Joined: 03 Jul 2003
Posts: 655
Followers: 2

Kudos [?]: 22 [0], given: 0

How many total number of distinct positive factors are there [#permalink]  28 Feb 2004, 19:07
How many total number of distinct positive factors are there for both 140 and 100?
GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4313
Followers: 27

Kudos [?]: 216 [0], given: 0

less than 2 min.
ans: 9
7-14-25-28-35-50-70-100-140
_________________

Best Regards,

Paul

Director
Joined: 03 Jul 2003
Posts: 655
Followers: 2

Kudos [?]: 22 [0], given: 0

Paul wrote:
less than 2 min.
ans: 9
7-14-25-28-35-50-70-100-140

Paul: I made up this question. I'm not sure if my wording is correct!
My question is to find all factors for both numbers with out double
counting. If my original question did not convey that meaning,

The expected answer is not 9.
Senior Manager
Joined: 30 Aug 2003
Posts: 325
Location: dallas , tx
Followers: 1

Kudos [?]: 9 [0], given: 0

is it 8..
u mean factors which are not common in both..
7,28,35,70,140....for 140
25,50,100...for 100
_________________

shubhangi

Director
Joined: 13 Nov 2003
Posts: 793
Location: BULGARIA
Followers: 1

Kudos [?]: 27 [0], given: 0

140 has 12 distinct factors, 100 has 9 distinct factors, they both have 6 factors in common so the total number of distinct factors should be 21-6=15
GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4313
Followers: 27

Kudos [?]: 216 [0], given: 0

right... i misinterpreted the question as to list only the distinct factors not common to 100 and 140
_________________

Best Regards,

Paul

Senior Manager
Joined: 11 Nov 2003
Posts: 355
Location: Illinois
Followers: 1

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

How the answer is 15? I am getting 6 (1, 2, 4, 5, 10, 20)

Director
Joined: 03 Jul 2003
Posts: 655
Followers: 2

Kudos [?]: 22 [0], given: 0

BG wrote:
140 has 12 distinct factors, 100 has 9 distinct factors, they both have 6 factors in common so the total number of distinct factors should be 21-6=15

GamtBlast:
BG has given the correct explanation.

To understand it further, consider two small numbers, such as 10 and 6.
Senior Manager
Joined: 11 Nov 2003
Posts: 355
Location: Illinois
Followers: 1

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

BG wrote:
140 has 12 distinct factors, 100 has 9 distinct factors, they both have 6 factors in common so the total number of distinct factors should be 21-6=15

GamtBlast:
BG has given the correct explanation.

To understand it further, consider two small numbers, such as 10 and 6.

Well, what I found is the total distinct factors common to 100 and 140.

I believe when the word "both" is used in the problem, it is safe to assume that we are being asked for the factors common to 100 and 140. But anyhow I think the problem here was looking for union of factors of 100 and 140. The word "both" is misleading. Thanks
Director
Joined: 03 Jul 2003
Posts: 655
Followers: 2

Kudos [?]: 22 [0], given: 0

gmatblast wrote:
BG wrote:
I believe when the word "both" is used in the problem,

My regrets that I've not worded this question properly.

If you were I, how would you word it?

Thanks
Senior Manager
Joined: 11 Nov 2003
Posts: 355
Location: Illinois
Followers: 1

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

gmatblast wrote:
BG wrote:
I believe when the word "both" is used in the problem,

My regrets that I've not worded this question properly.

If you were I, how would you word it?

Thanks

May be in the following way.

How many total number of distinct positive factors are there between 140 and 100?
Senior Manager
Joined: 11 Nov 2003
Posts: 355
Location: Illinois
Followers: 1

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

gmatblast wrote:
gmatblast wrote:
BG wrote:
I believe when the word "both" is used in the problem,

My regrets that I've not worded this question properly.

If you were I, how would you word it?

Thanks

May be in the following way.

How many total number of distinct positive factors are there between 140 and 100?

Sorry. Not this way... may be this way

How many total number of distinct positive factors are there for either 140 or 100?
Director
Joined: 03 Jul 2003
Posts: 655
Followers: 2

Kudos [?]: 22 [0], given: 0

gmatblast wrote:
Sorry. Not this way... may be this way

How many total number of distinct positive factors are there for either 140 or 100?

My Friend:

It tough to solve problems, even tougher to write good quality questions!
Senior Manager
Joined: 11 Nov 2003
Posts: 355
Location: Illinois
Followers: 1

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

gmatblast wrote:
Sorry. Not this way... may be this way

How many total number of distinct positive factors are there for either 140 or 100?

My Friend:

It tough to solve problems, even tougher to write good quality questions!

Thanks for sharing that knowledge!!
Similar topics Replies Last post
Similar
Topics:
4 How many distinct factors does positive integer k have? 6 25 Nov 2014, 07:33
2 How many distinct positive factors does 30,030 have? 2 18 Dec 2012, 03:07
45 How many different prime numbers are factors of the positive 13 29 Jan 2012, 17:31
10 How many different prime numbers are factors of the positive 15 08 Oct 2010, 16:50
How many different prime numbers are factors of the positive 4 22 Oct 2006, 22:37
Display posts from previous: Sort by