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

• Given that n=4p and p is prime greater than 2.
  and all prime numbers greater than 2 are odd
  also when odd number (in this case prime number p) is when multiplied by even number (in this case 4)always results in even number
  example:
  -------
  1. taking p = 3 we have n=12 and positive even divisors are 2,4,6,12
  2. taking p = 5 we have n=20 and positive even divisors are 2,4,10,20
  and so on ....
  thus the required result is 4.
  
• 11 years agoHelpfull: Yes(26) No(8)
• we can write the number as n=4p => 2*2*p
  
  the number will be divisible by 4, 2, p ,2p and n (the number itself).
  
  but since p is greater then two and is a prime number then it can never be even
  so we are left with (2,4,2p,n) so 4 is the answer
  
• 11 years agoHelpfull: Yes(16) No(4)
• 2,4,n,n/2are the positive even divisors including n
• 11 years agoHelpfull: Yes(6) No(2)
• If n=4p, and p is a prime No. and it implies that 2,4 and the value of n are the even divisors,
  Because, any prime no. greater than two can not have even divisors.
  Thus, there are only three even divisor( 2,4 and Value of n)
• 11 years agoHelpfull: Yes(4) No(6)
• 
  we can write the number as n=4p => 2*2*p
  
  the number will be divisible by 4, 2, p and n (the number itself).
  
  but since p is greater then two and is a prime number then it can never be even
  so we are left with (2,4,n) so 3 is the answer
  
  
• 11 years agoHelpfull: Yes(3) No(1)