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GMAT Problem Solving (PS) | Re: If n = 4p, where p is a prime number greater than 2, how man

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Since p is primes and is > 2, then p must be an odd number since 2 is the only even prime number.

I solved by simply plugging in:
p = 5 (a prime) ---> n = 20
Factors of 20 include:
20 1
10 2
5 4

In this factor tree there is a total of 4 even factors means C is the correct answer.

If you aren't convinced after this you should have time to plug in another prime number for p. I finished within 50 seconds using just p =5.

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