If n = 4p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n?

Four (2, 4, 2p, and 4p)

Step-by-step explanation:

Since p is a prime number greater than 2, then p=odd because the only prime number that is even is 2. Thus 4p = even at all times because 4 is even. Meaning that 4p has 4 even divisors: 2, 4, 2p, and 4p.

Test cases:

1. p = 3

n = 4*3 = 12

Divisors of 12 are 2, 4, 6 (2*3), 12 (4*3)

2. p = 5

n = 4*5 = 20

Divisors of 20 are 2, 4, 10 (2*5), 20 (4*p)

3. p = 17

n = 4*17 = 68

Divisors of 68 are 2, 4, 34 (2*17), 68 (4*17)