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Director
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X and Y are different prime numbers. How many factors does [#permalink]
 21 Feb 2006, 16:50
X and Y are different prime numbers. How many factors does XY^2 have?
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CEO
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1, X, Y, Y^2, XY, XY^2
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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008
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GMAT Club Legend
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Assume X and Y are 3 and 5.
Then XY^2 = (35)(35)
Factors are = 1,3,5,9,15,25,45,75,225
# of factors = 9
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CEO
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ywilfred wrote: Assume X and Y are 3 and 5.
Then XY^2 = (35)(35)
Factors are = 1,3,5,9,15,25,45,75,225
# of factors = 9
I think you read it incorrectly. In your approach if we assume X and Y as 2 and 3 then
XY^2 = (23)(23) or (32)(32) in this case factors can not be determined.
But I think question says X and Y are different prime numbers, (may be one digit or multiple digits). Then we have to find factors of X * Y^2.
Am I right joemama??
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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008
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Director
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you are right psd, the oa is 6
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joemama142000 wrote: you are right psd, the oa is 6
I think I read it as (XY)^2 
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Senior Manager
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ywilfred wrote: Assume X and Y are 3 and 5.
Then XY^2 = (35)(35)
Factors are = 1,3,5,9,15,25,45,75,225
# of factors = 9
Even in this case, arnt factor are numbers which divide the integer which it factorises? , how can 35 be divided by 9 ?  . with my exam tomorrow i am getting confused
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If x is 2 and y is 5 then 25^2 is 625. The factors I got was 1, 25, 625, 5, 125. It is not divisible by x. I only got 5 factors? 
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Director
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jlui4477 wrote: If x is 2 and y is 5 then 25^2 is 625. The factors I got was 1, 25, 625, 5, 125. It is not divisible by x. I only got 5 factors? anything muliplied by 2 is even
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