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If k is a positive integer, is k the square of an integer?

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Senior Manager
Joined: 05 Oct 2008
Posts: 267
If k is a positive integer, is k the square of an integer? [#permalink]

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19 Nov 2008, 02:28
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If k is a positive integer, is k the square of an integer?

1. k is divisible by 4
2. k is divisible by exactly 4 different prime numbers
Current Student
Joined: 28 Dec 2004
Posts: 3342
Location: New York City
Schools: Wharton'11 HBS'12

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19 Nov 2008, 09:14
study wrote:
If k is a positive integer, is k the square of an integer?

1. k is divisible by 4
2. k is divisible by exactly 4 different prime numbers

looks to be E..

K=4, 8, 16...4 is a square but 16 is not.

2. K=is divisible by 2, 3, 5 and 7...well K=2^2*3^2*5^2 etc..Insuff

together insuff..
Manager
Joined: 08 Aug 2008
Posts: 229

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20 Nov 2008, 04:56
B.
a number having 4 prime factors cannot be a square..
(im yet to confirm this though...)
Current Student
Joined: 28 Dec 2004
Posts: 3342
Location: New York City
Schools: Wharton'11 HBS'12

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20 Nov 2008, 07:56
what if the number is n=2^2 * 3^2 * 7^2 * 5^2 ...this is a perfect square..
Manager
Joined: 08 Aug 2008
Posts: 229

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20 Nov 2008, 08:24
yep..i just totally blew that...thanks
fresinha12 wrote:
what if the number is n=2^2 * 3^2 * 7^2 * 5^2 ...this is a perfect square..
Senior Manager
Joined: 05 Oct 2008
Posts: 267

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20 Nov 2008, 20:20
OA is E

Since st 2 says exactly 4 prime nos, i didnt consider taking it multiple times.
Re: no properties   [#permalink] 20 Nov 2008, 20:20
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If k is a positive integer, is k the square of an integer?

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