BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Do all even numbers have even factors?

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Quantitative Reasoning |
User avatar
Community Manager
Posts: 1537
Joined: Mon Aug 10, 2009 6:10 pm
Thanked: 653 times
Followed by:252 members

by papgust » Thu Apr 08, 2010 6:20 pm
Are you asking even factors or even number of factors?

In either case, the answer is NO.

Even factors:
For instance, consider 4 - the factors of 4 are 1,2, and 4. You have 1 odd factor.

Even no. of factors:
For instance, consider 16 (Perfect square) - number of factors of a PS is always ODD. So, 16 has odd number of factors.
Top
User avatar
GMAT Instructor
Posts: 509
Joined: Wed Apr 21, 2010 1:08 pm
Location: Irvine, CA
Thanked: 199 times
Followed by:85 members
GMAT Score:750

by tpr-becky » Sat Apr 24, 2010 3:55 pm
but if your question is does every even number have an even factor then the answer is absolutely yes - because every even number is a multiple of 2 and will therefore have 2 as a factor.
Becky
Master GMAT Instructor
The Princeton Review
Irvine, CA
Top
Post new topic Post Reply
• Page 1 of 1