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If n=4p where p is a prime number greater than 2, how many [#permalink]
 24 Aug 2007, 09:41
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If n=4p where p is a prime number greater than 2, how many different positive even divisors does n have, including n.
A)2
B)3
C)4
D)6
E)8
Can someone please explain their answer to this
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VP
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n=4p
since n = 4p then even divisors are:
4p/ 4p = 1
4p/ 2p = 2
4p/ 4 = p
4p/ 2 = 2p
so the answer is (C)
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Current Student
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umm..lets see..
n=4p where p is a prime >2
lets pick a number 3..
n=12
even divisors are 0, 2, 4, 6
4 divisors
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VP
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fresinha12 wrote: umm..lets see..
n=4p where p is a prime >2
lets pick a number 3..
n=12
even divisors are 0, 2, 4, 6
4 divisors
zero is not a divisor of 12 since 12/0 is undefined ! but 12 is a divisor of 12.
so 2,4,6,12.
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Re: Number Properties PS [#permalink]
24 Aug 2007, 12:03
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tinman1412 wrote: If n=4p where p is a prime number greater than 2, how many different positive even divisors does n have, including n.
A)2
B)3
C)4
D)6
E)8
Can someone please explain their answer to this
C. +ve even divisors = 2, 4, 2p and 4p. altogather 4.
+ve divisors = 1, 2, 4, p, 2p and 4p. altogather 6.
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Current Student
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yup...what was i thinking...12 is a divisor..
KillerSquirrel wrote: fresinha12 wrote: umm..lets see..
n=4p where p is a prime >2
lets pick a number 3..
n=12
even divisors are 0, 2, 4, 6
4 divisors zero is not a divisor of 12 since 12/0 is undefined ! but 12 is a divisor of 12. so 2,4,6,12. 
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VP
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fresinha12 wrote: yup...what was i thinking...12 is a divisor.. I know - Your reasoning is always so perfect. I was surprised to see you write something like that.
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Director
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fresinha12 wrote: yup...what was i thinking...12 is a divisor.. KillerSquirrel wrote: fresinha12 wrote: umm..lets see..
n=4p where p is a prime >2
lets pick a number 3..
n=12
even divisors are 0, 2, 4, 6
4 divisors zero is not a divisor of 12 since 12/0 is undefined ! but 12 is a divisor of 12. so 2,4,6,12. so your good friday is already started??????????????? 
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