SOLUTION: If p is a prime number greater than 2 then the sum of all the positive factors of 2p is equal to which of the following: a) 2p+1 b) 2p+2 c) 3p+1 d) 3p+3

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: If p is a prime number greater than 2 then the sum of all the positive factors of 2p is equal to which of the following: a) 2p+1 b) 2p+2 c) 3p+1 d) 3p+3      Log On


   



Question 1107617: If p is a prime number greater than 2 then the sum of all the positive factors of 2p is equal to which of the following:
a) 2p+1
b) 2p+2
c) 3p+1
d) 3p+3

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
Try a few examples,
:
if p = 3, then 2p = 6 and the factors of 6 are
:
1, 2, 3, 6 whose sum is 12
:
if p = 5, then 2p = 10 and the factors of 10 are
:
1, 2, 5, 10 whose sum is 18
:
if p = 7, then 2p = 14 and the factors of 14 are
:
1, 2, 7, 14 whose sum is 24
:
the formula for the sum is 3p+3 is the answer, d
: