prime numbers are factors

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Fri Sep 17, 2010 2:56 am

How many different prime numbers are factors of the positive integer n?

[1] Four different prime numbers are factors of 2 n.

[2] Four different prime numbers are factors of n^2.

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Source: Beat The GMAT — Data Sufficiency | Fri Sep 17, 2010 2:56 am

Fiver: Master | Next Rank: 500 Posts; Posts: 114; Joined: Mon Sep 22, 2008 3:51 am; Thanked: 8 times; GMAT Score:680

by Fiver » Fri Sep 17, 2010 7:10 am

How many different prime factors contribute to the form the positive integer n ?

St1] Four different prime numbers are factors of 2 n.
This means that the prime number 2 either could be a part of 'n' itself, yeilding 4 as the answer or could not be a part of 'n' yeilding 3 as the answer. Insuff.

St2] Four different prime numbers are factors of n^2.
If 4 different prime numbers make up n^2, then all 4 must be present in 'n' as well. Suff.

I pick B.

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Fri Sep 17, 2010 8:09 pm

Fiver wrote:How many different prime factors contribute to the form the positive integer n ?

St1] Four different prime numbers are factors of 2 n.
This means that the prime number 2 either could be a part of 'n' itself, yeilding 4 as the answer or could not be a part of 'n' yeilding 3 as the answer. Insuff.

St2] Four different prime numbers are factors of n^2.
If 4 different prime numbers make up n^2, then all 4 must be present in 'n' as well. Suff.

I pick B.

very good shot Fiver

The mind is everything. What you think you become. -Lord Buddha

Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com

Like this post

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