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# If n=4p where p is a prime number greater than 2, how many

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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

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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

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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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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

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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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.

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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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.

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