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# Perfect square....

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Manager
Joined: 06 Feb 2010
Posts: 174
Schools: University of Dhaka - Class of 2010
GPA: 3.63

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29 Oct 2010, 07:07
I. A perfect square has an even number of each of its prime factors.
II. There are an odd number of possibilities for the number of occurrences of each odd prime factor of a perfect square.
III. The sum of the distinct even factors of a perfect square is even.
Pls provide example of each. Thanks in advance
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Manager
Joined: 01 Nov 2010
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Location: Zürich, Switzerland

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09 Nov 2010, 10:15
I. A perfect square has an even number of each of its prime factors. -----> Ans 4 which has 2 even prime factors 2 & 2.

II. There are an odd number of possibilities for the number of occurrences of each odd prime factor of a perfect square. ---- Ans Not Possible

III. The sum of the distinct even factors of a perfect square is even.--->Ans 64, which has 3 even factors 2, 4 & 8 having sum as 14
Re: Perfect square....   [#permalink] 09 Nov 2010, 10:15
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