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# What is the prime factors’ number of 24?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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What is the prime factors’ number of 24? [#permalink]

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11 Jul 2016, 18:32
Expert's post
5
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Difficulty:

55% (hard)

Question Stats:

30% (00:32) correct 70% (00:25) wrong based on 162 sessions

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What is the prime factors’ number of 24?
A. 2
B. 3
C. 4
D. 5
E. 6

*An answer will be posted in 2 days.
[Reveal] Spoiler: OA

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Manager
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Re: What is the prime factors’ number of 24? [#permalink]

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11 Jul 2016, 21:28
1
KUDOS
prime factors’ number, as I assume, for a number X=a^n*b^m*c^o*d^p... is = n+m+o+p...

So, 24 = 2^3*3^1
prime factors’ number will be 3+1 = 4.

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What is the prime factors’ number of 24? [#permalink]

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11 Jul 2016, 21:42
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MathRevolution wrote:
What is the prime factors’ number of 24?
A. 2
B. 3
C. 4
D. 5
E. 6

*An answer will be posted in 2 days.

Here we are asked to find prime factors but not the total number of factors.

First make prime factorization of an integer n = $$a^x$$ * $$b^y$$ * $$c^z$$ where a , b and c and are prime factors of n and x,y and z are their powers.

Similarly factors of 24 = 3 * 2 * 2 * 2.

There are three 2s and one 3. So total there are 4 prime factors.

IMO C is the correct option.

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Re: What is the prime factors’ number of 24? [#permalink]

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14 Jul 2016, 01:03
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From 24=3(2^3), we get 2,2,2 and 3. Hence, the number of prime factors is 4.
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What is the prime factors’ number of 24? [#permalink]

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03 Dec 2016, 23:02
2
KUDOS
1
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Hi MathRevolution
What is the prime factors’ number of 24?

This statement is Not a GMAT like statement.
I have never heard this term "Prime factors number"

This question is as easy as they come.
Its the Ambiguous/Un-precise language that is a bit confusing and painful.

And just to add to the discussion -> I think this Question will further confuse students rather than clearing there concepts.

For On the GMAT ->
Number of prime factors ->Number of distinct prime factors.
Period.
Or else it would specially stated in the stem.
I hope it all of this makes sense

Regards
Stone Cold

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Kudos [?]: 841 [2], given: 595

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4142

Kudos [?]: 2899 [0], given: 0

GPA: 3.82
Re: What is the prime factors’ number of 24? [#permalink]

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13 Dec 2016, 04:50
stonecold wrote:
Hi MathRevolution
What is the prime factors’ number of 24?

This statement is Not a GMAT like statement.
I have never heard this term "Prime factors number"

This question is as easy as they come.
Its the Ambiguous/Un-precise language that is a bit confusing and painful.

And just to add to the discussion -> I think this Question will further confuse students rather than clearing there concepts.

For On the GMAT ->
Number of prime factors ->Number of distinct prime factors.
Period.
Or else it would specially stated in the stem.
I hope it all of this makes sense

Regards
Stone Cold

Hi Stone Cold,

Mathematically, prime factors and different prime factors are different from each other.

Happy Studying!
Math Revolution Team
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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
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Manager
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Re: What is the prime factors’ number of 24? [#permalink]

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10 Sep 2017, 11:43
MathRevolution wrote:
What is the prime factors’ number of 24?
A. 2
B. 3
C. 4
D. 5
E. 6

*An answer will be posted in 2 days.

I dont find this question makes any sense.. its just like using concept "'s" into "of number"... GMAT doesnt test your knowledge of english language in Math section.

its like forcefully someone has prepared this question....

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Manager
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Re: What is the prime factors’ number of 24? [#permalink]

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12 Sep 2017, 19:48
stonecold wrote:
Hi MathRevolution
What is the prime factors’ number of 24?

This statement is Not a GMAT like statement.
I have never heard this term "Prime factors number"

This question is as easy as they come.
Its the Ambiguous/Un-precise language that is a bit confusing and painful.

And just to add to the discussion -> I think this Question will further confuse students rather than clearing there concepts.

For On the GMAT ->
Number of prime factors ->Number of distinct prime factors.
Period.
Or else it would specially stated in the stem.
I hope it all of this makes sense

Regards
Stone Cold

I agree

I should have been the number of prime factors

Kudos [?]: 2 [0], given: 1

Re: What is the prime factors’ number of 24?   [#permalink] 12 Sep 2017, 19:48
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# What is the prime factors’ number of 24?

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