Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 04 May 2015, 17:03

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# How many different prime nos are factors of the positive

Author Message
TAGS:
Senior Manager
Joined: 07 Mar 2006
Posts: 352
Followers: 1

Kudos [?]: 11 [0], given: 1

How many different prime nos are factors of the positive [#permalink]  30 Jul 2006, 04:22
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
How many different prime nos are factors of the positive integer n?

1) Four different prime nos are factors of 2n
2) Four different prime nos are factors of n^2

A) Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
(B) Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
(D) Each statement ALONE is sufficient.
(E) Statements (1) and (2) TOGETHER are NOT sufficient
Senior Manager
Joined: 22 May 2006
Posts: 375
Location: Rancho Palos Verdes
Followers: 1

Kudos [?]: 28 [0], given: 0

Re: DS: Gmat prep [#permalink]  30 Jul 2006, 07:41
zoom612 wrote:
How many different prime nos are factors of the positive integer n?

1) Four different prime nos are factors of 2n
2) Four different prime nos are factors of n^2

S1. 2n has 4 prime thus, n has 3~4prime. insuff.
S2. n^2 has 4 prime thus, n has 4 prime. suff.

B it is.
_________________

The only thing that matters is what you believe.

VP
Joined: 25 Nov 2004
Posts: 1495
Followers: 6

Kudos [?]: 38 [0], given: 0

Re: DS: Gmat prep [#permalink]  30 Jul 2006, 07:42
zoom612 wrote:
How many different prime nos are factors of the positive integer n?

1) Four different prime nos are factors of 2n
2) Four different prime nos are factors of n^2

from i, it could be 3 or 4.
from ii, it should be 4.
B.
SVP
Joined: 30 Mar 2006
Posts: 1739
Followers: 1

Kudos [?]: 46 [0], given: 0

B

1) 2n has 4 prime factors. n can have 3 or 4 prime factors.
2) n^2 has 4 prime factors. Hence n will have 4 different prime factors.
Intern
Joined: 06 Jun 2006
Posts: 6
Followers: 0

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

I think the ans should be D.

Can anybody give me an example how can N have 4 prime factor when 2n have 4 prime factors. I think in that case, N would always have 3 prime factors.

Not sure if I am missing something.
GMAT Instructor
Joined: 04 Jul 2006
Posts: 1269
Followers: 23

Kudos [?]: 158 [0], given: 0

How about n=2*3*5*7? In general, any even number n with 4 prime factors, 2n (and 4n and 8n) will have 4 prime factors as well
Similar topics Replies Last post
Similar
Topics:
How many different prime numbers are factors of the positive 0 30 Jul 2013, 04:54
45 How many different prime numbers are factors of the positive 13 29 Jan 2012, 17:31
10 How many different prime numbers are factors of the positive 15 08 Oct 2010, 16:50
1 How many different positive integers are factors of 441? 4 02 Mar 2008, 13:01
How many different prime numbers are factors of the positive 4 22 Oct 2006, 22:37
Display posts from previous: Sort by