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# How many factors does the number A have? 1) A is divisible by 43

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How many factors does the number A have? 1) A is divisible by 43  [#permalink]

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11 May 2018, 11:38
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45% (medium)

Question Stats:

60% (01:21) correct 40% (01:03) wrong based on 75 sessions

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How many factors does the number A have?

1) A is divisible by 43
2) A lies between 50 and 150, inclusive.

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Director
Joined: 02 Oct 2017
Posts: 719
How many factors does the number A have? 1) A is divisible by 43  [#permalink]

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Updated on: 11 May 2018, 22:00
1) A can be 43 having 2 factors
or 86 having four factors
And many more possibilities
So insufficient

II) A can be prime number like 97 having 2 factors
Or 100 having 9 factors
So insufficient

Combining both
A can be 86,129
So in each case no of factors is 4

43*2= 4 factors
43*3=4 factors

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Originally posted by push12345 on 11 May 2018, 15:39.
Last edited by push12345 on 11 May 2018, 22:00, edited 2 times in total.
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Location: India
Re: How many factors does the number A have? 1) A is divisible by 43  [#permalink]

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11 May 2018, 21:25
push12345 wrote:
1) A can be 43 having 2 factors
or 86 having four factors
And many more possibilities
So insufficient

II) A can be prime number like 97 having 2 factors
Or 100 having 9 factors
So insufficient

Combining both
A can be 43,86,129
So different number of factors in each case
So insufficient

Posted from my mobile device

Hello

But after combining, we cannot take the value of '43' since we are given that A lies between 50 and 150 inclusive. So we can only take 86 and 129 I think
Director
Joined: 02 Oct 2017
Posts: 719
Re: How many factors does the number A have? 1) A is divisible by 43  [#permalink]

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11 May 2018, 21:28
amanvermagmat wrote:
push12345 wrote:
1) A can be 43 having 2 factors
or 86 having four factors
And many more possibilities
So insufficient

II) A can be prime number like 97 having 2 factors
Or 100 having 9 factors
So insufficient

Combining both
A can be 43,86,129
So different number of factors in each case
So insufficient

Posted from my mobile device

Hello

But after combining, we cannot take the value of '43' since we are given that A lies between 50 and 150 inclusive. So we can only take 86 and 129 I think

Yeah by mistake 43 is written..I have edited the same.. thank you

Posted from my mobile device
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Re: How many factors does the number A have? 1) A is divisible by 43  [#permalink]

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11 May 2018, 21:40
1
gmatbusters wrote:
How many factors does the number A have?

1) A is divisible by 43
2) A lies between 50 and 150, inclusive.

Ans is C.

A. Not sufficient as the number could be 43 itself or a multiple of 43, in which case, the number of factors will vary.

B. Not sufficient as B can be any number between 50 and 150 and as such, will have varying number of factors

Both. Sufficient.

As the number is divisible by 43 and lies between 50 and 150, only 86 and 129 meet the requirement. Each of these numbers has 4 factors - 86 - 43 * 2 ( 4 factors)
129 - 43 * 3 ( 4 factors )

Thus, it is sufficient to say that A, meeting the given conditions, has 4 factors.

Please give kudos if you like my explanation
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Joined: 02 Jun 2018
Posts: 7
Re: How many factors does the number A have? 1) A is divisible by 43  [#permalink]

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28 Aug 2018, 08:14
Can someone explain why it is not E?

The question asks for how many factors does the NUMBER A have?
How can C be the answer when it includes two different numbers? - I thought the phrasing was there to trap you into choosing C rather than E.

Help needed - thanks

mongmat27 wrote:
gmatbusters wrote:
How many factors does the number A have?

1) A is divisible by 43
2) A lies between 50 and 150, inclusive.

Ans is C.

A. Not sufficient as the number could be 43 itself or a multiple of 43, in which case, the number of factors will vary.

B. Not sufficient as B can be any number between 50 and 150 and as such, will have varying number of factors

Both. Sufficient.

As the number is divisible by 43 and lies between 50 and 150, only 86 and 129 meet the requirement. Each of these numbers has 4 factors - 86 - 43 * 2 ( 4 factors)
129 - 43 * 3 ( 4 factors )

Thus, it is sufficient to say that A, meeting the given conditions, has 4 factors.

Please give kudos if you like my explanation
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Joined: 07 Oct 2017
Posts: 252
Re: How many factors does the number A have? 1) A is divisible by 43  [#permalink]

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28 Aug 2018, 08:43
Studious1 wrote:
Can someone explain why it is not E?

The question asks for how many factors does the NUMBER A have?
How can C be the answer when it includes two different numbers? - I thought the phrasing was there to trap you into choosing C rather than E.

Help needed - thanks

mongmat27 wrote:
gmatbusters wrote:
How many factors does the number A have?

1) A is divisible by 43
2) A lies between 50 and 150, inclusive.

Ans is C.

A. Not sufficient as the number could be 43 itself or a multiple of 43, in which case, the number of factors will vary.

B. Not sufficient as B can be any number between 50 and 150 and as such, will have varying number of factors

Both. Sufficient.

As the number is divisible by 43 and lies between 50 and 150, only 86 and 129 meet the requirement. Each of these numbers has 4 factors - 86 - 43 * 2 ( 4 factors)
129 - 43 * 3 ( 4 factors )

Thus, it is sufficient to say that A, meeting the given conditions, has 4 factors.

Please give kudos if you like my explanation
Answer is not E because we are sure that with given restriction, a number can assume only 2 values. Both of these values have 4 factors only.

I think you have a misconception that two different integers can't have same number of factors
Eg: 2 and 3
Factors of 2- 1,2
Factors of 3- 1,3

Both of them have 2 factors

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Re: How many factors does the number A have? 1) A is divisible by 43   [#permalink] 28 Aug 2018, 08:43
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