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# How many total number of distinct positive factors are there

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Director
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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?
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[#permalink]  28 Feb 2004, 19:20
less than 2 min.
ans: 9
7-14-25-28-35-50-70-100-140
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Paul

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[#permalink]  28 Feb 2004, 20:36
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,
please reword the question!

The expected answer is not 9.
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[#permalink]  28 Feb 2004, 22:21
is it 8..
u mean factors which are not common in both..
7,28,35,70,140....for 140
25,50,100...for 100
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shubhangi

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[#permalink]  29 Feb 2004, 00:35
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
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[#permalink]  29 Feb 2004, 05:32
right... i misinterpreted the question as to list only the distinct factors not common to 100 and 140
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[#permalink]  03 Mar 2004, 07:44
kpadma,

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

Please clarify.
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[#permalink]  03 Mar 2004, 07:54
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.
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[#permalink]  03 Mar 2004, 07:59
kpadma wrote:
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
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[#permalink]  03 Mar 2004, 08:19
gmatblast wrote:
kpadma wrote:
BG wrote:
I believe when the word "both" is used in the problem,

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

If you were I, how would you word it?

Thanks
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[#permalink]  03 Mar 2004, 08:21
kpadma wrote:
gmatblast wrote:
kpadma wrote:
BG wrote:
I believe when the word "both" is used in the problem,

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

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?
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[#permalink]  03 Mar 2004, 12:35
gmatblast wrote:
kpadma wrote:
gmatblast wrote:
kpadma wrote:
BG wrote:
I believe when the word "both" is used in the problem,

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

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
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[#permalink]  03 Mar 2004, 12:37
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
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[#permalink]  03 Mar 2004, 12:42
kpadma wrote:
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!!
[#permalink] 03 Mar 2004, 12:42
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# How many total number of distinct positive factors are there

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