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If a positive integer x has 5 prime factors, how many prime factors

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If a positive integer x has 5 prime factors, how many prime factors [#permalink]

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New post 22 Nov 2016, 03:41
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If a positive integer x has 5 prime factors, how many prime factors does 3x have?

A) 3
B) 5
C) 8
D) 15
E) cannot be determined
[Reveal] Spoiler: OA

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Re: If a positive integer x has 5 prime factors, how many prime factors [#permalink]

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New post 22 Nov 2016, 03:57
stonecold wrote:
If a positive integer x has 5 prime factors, how many prime factors does 3x have?

A) 3
B) 5
C) 8
D) 15
E) cannot be determined


If 3 is a factor of x, then 3x will have as many prime factors as x but if 3 is not a factor of x, then 3x will have one more prime than x.

Answer: E.
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Re: If a positive integer x has 5 prime factors, how many prime factors [#permalink]

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New post 01 Dec 2017, 12:15
Bunuel

But how come? if suppose 3 is a factor of x already, then still there'll be an addition to the total no. of prime factors by 1 more if x is multiplied by 3, since the question hasn't mentioned distinct prime factors.

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Re: If a positive integer x has 5 prime factors, how many prime factors [#permalink]

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New post 01 Dec 2017, 23:11
BigUD94 wrote:
Bunuel

But how come? if suppose 3 is a factor of x already, then still there'll be an addition to the total no. of prime factors by 1 more if x is multiplied by 3, since the question hasn't mentioned distinct prime factors.


Intended meaning is that x has 5 unique prime factors.
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Re: If a positive integer x has 5 prime factors, how many prime factors [#permalink]

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New post 01 Dec 2017, 23:36
stonecold wrote:
If a positive integer x has 5 prime factors, how many prime factors does 3x have?

A) 3
B) 5
C) 8
D) 15
E) cannot be determined

Suppose X = 2*5*13*7*11 with 5 Prime Factors.. 3X will have 6 Prime Factors.

Suppose X = 3*5*7*11*13 with 5 Prime Factors. In this case 3X will 5 Prime Factors.

@Bunuel - Is it correct way to approach this problem?? Please advise.

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Re: If a positive integer x has 5 prime factors, how many prime factors [#permalink]

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New post 01 Dec 2017, 23:38
rahul16singh28 wrote:
stonecold wrote:
If a positive integer x has 5 prime factors, how many prime factors does 3x have?

A) 3
B) 5
C) 8
D) 15
E) cannot be determined

Suppose X = 2*5*13*7*11 with 5 Prime Factors.. 3X will have 6 Prime Factors.

Suppose X = 3*5*7*11*13 with 5 Prime Factors. In this case 3X will 5 Prime Factors.

@Bunuel - Is it correct way to approach this problem?? Please advise.

Sent from my Lenovo P1a42 using GMAT Club Forum mobile app


Yes. This is basically the same approach as mine but with numbers.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Kudos [?]: 135739 [0], given: 12707

Re: If a positive integer x has 5 prime factors, how many prime factors   [#permalink] 01 Dec 2017, 23:38
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