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# What is the value of integer N if 2,3,5 are the only prime factors of

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What is the value of integer N if 2,3,5 are the only prime factors of  [#permalink]

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Updated on: 22 Nov 2016, 02:19
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Difficulty:

15% (low)

Question Stats:

73% (00:41) correct 27% (00:54) wrong based on 78 sessions

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What is the value of integer N if 2,3,5 are the only prime factors of N

A) 30
B) 60
C) 90
D) 120
E) cannot be determined

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Originally posted by stonecold on 22 Nov 2016, 02:15.
Last edited by Bunuel on 22 Nov 2016, 02:19, edited 1 time in total.
Renamed the topic and edited the question.
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Re: What is the value of integer N if 2,3,5 are the only prime factors of  [#permalink]

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22 Nov 2016, 02:35
stonecold wrote:
What is the value of integer N if 2,3,5 are the only prime factors of N

A) 30
B) 60
C) 90
D) 120
E) cannot be determined

$$N=2^x 3^y 5^z$$. Since we cant know the values of x, y, z, the value of N can't be determined. Choice E.
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Re: What is the value of integer N if 2,3,5 are the only prime factors of  [#permalink]

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22 Nov 2016, 07:48
stonecold wrote:
What is the value of integer N if 2,3,5 are the only prime factors of N

A) 30
B) 60
C) 90
D) 120
E) cannot be determined

Greatest value of N will depend on the exponents of its factor...

Since, we do not know the exponents, answer will be (E) cannot be determined..

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Current Student
Joined: 12 Aug 2015
Posts: 2626
Schools: Boston U '20 (M)
GRE 1: Q169 V154
What is the value of integer N if 2,3,5 are the only prime factors of  [#permalink]

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07 Jan 2017, 16:31
There exist infinite numbers with the same set of primes.
Hence if are only given the prime factors of any integer and no other information is provided => We can never calculate the number.
E.g=> 2*3*5
2*3*5^100
2^100*3*5
Etc.
Hence E.

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Re: What is the value of integer N if 2,3,5 are the only prime factors of  [#permalink]

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08 Jan 2017, 03:03
I do believe that such kind of questions should specify that power values of prime factors are unknown,as someone could think that it is ebqual to 1 by default.
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Re: What is the value of integer N if 2,3,5 are the only prime factors of  [#permalink]

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08 Jan 2017, 03:07
Alexey1989x wrote:
I do believe that such kind of questions should specify that power values of prime factors are unknown,as someone could think that it is ebqual to 1 by default.

No.
Not at all.
The question need not specify anything.
Lets take an example ->
If 2,3,5 are the prime factors of n what is the value of n?

Here we cannot get n.
As there exist ∞ numbers with the same set of primes.

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Stone Cold

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Re: What is the value of integer N if 2,3,5 are the only prime factors of  [#permalink]

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08 Jan 2017, 04:40
Alexey1989x wrote:
I do believe that such kind of questions should specify that power values of prime factors are unknown,as someone could think that it is ebqual to 1 by default.

The presence of the option (E) None of the above is a clear indication that one needs to check all the possibilities carefully before marking an answer...

stonecold is correct " The question need not specify anything. " and expect us to find the correct answer ...

Hence, correct answer will always be (E)

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Re: What is the value of integer N if 2,3,5 are the only prime factors of  [#permalink]

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02 Apr 2017, 12:06
thanks stonecold for a beautifully crafted intricated question......... kudos to you..... thanks it help to strengthen your fundamentals .. thannks again
Re: What is the value of integer N if 2,3,5 are the only prime factors of &nbs [#permalink] 02 Apr 2017, 12:06
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