If n=4p, where p is a prime number greater than 2 how many different positive even divisors does n have, including n?
A. Two
B. Three
C. Four
D. Six
E. Eight
Answer: C
Please explain for dummies ...Mind boggled
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Let's pick a possible value for n.If n=4p where p is a prime number greater than 2, how many different positive even divisors does n have including n?
A. Two
B. Three
C. Four
D. Six
E. Eight
To do so, let p=3 (a prime greater than 2), which means n = 4(3) = 12
The even divisors of 12 are 2, 4, 6 and 12
So, there are four even divisors.
Answer = C
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Brent
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Hi oquiella,
This question can be solved rather easily by TESTing VALUES:
We're told that N = 4P and that P is a prime number greater than 2. Let's TEST P = 3; so N = 12
The question now asks how many DIFFERENT positive EVEN divisors does 12 have, including 12?
12:
1,12
2,6
3,4
How many of these divisors are EVEN? 2, 4, 6, 12 .....4 even divisors.
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
This question can be solved rather easily by TESTing VALUES:
We're told that N = 4P and that P is a prime number greater than 2. Let's TEST P = 3; so N = 12
The question now asks how many DIFFERENT positive EVEN divisors does 12 have, including 12?
12:
1,12
2,6
3,4
How many of these divisors are EVEN? 2, 4, 6, 12 .....4 even divisors.
Final Answer: C
GMAT assassins aren't born, they're made,
Rich