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Do all even numbers have even factors?

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
Expert replies
Source: — Quantitative Reasoning |

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.
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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
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