If x and y are positive integers and if x is a prime factor

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If x and y are positive integers and if x is a prime factor [#permalink]

20 May 2003, 22:30

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If x and y are positive integers and if x is a prime factor of y, is x^2 a factor of y?

1) x < 6
2) y = 36

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20 May 2003, 23:17

An interesting problem
I vote for B

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20 May 2003, 23:30

B it is :D :D :D

no it is not my own :cry:

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26 May 2003, 01:14

my vote goes for E

from (2), x can be 2 or 3

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26 May 2003, 01:22

skoper wrote:

my vote goes for E

from (2), x can be 2 or 3

and in both cases it is a factor of Y (9 and 4)

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YOU 're Right [#permalink]

01 Jun 2003, 22:50

I cheer "B"

Why ? because statement II : Not only are 2 and 3 prime factors of 36, but also 2^2 and 3^2 are factors of 36.

Thus, B is correct.

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21 Nov 2005, 19:51

I believe B is a right answer, first is out because we don't know the value of y and we can't say that the squares of primes 2,3,5 will be factors of y for any possible value of y. So, only probable values of x can be 2,3, and 5. 5 can be omitted because it's not a factor of 36. Now, it's seen that squares of both primes (2 and 3) are factors of 36. Therefore, for any possible value of x^2, x^2 is a factor of y.
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[#permalink] 21 Nov 2005, 19:51

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If x and y are positive integers and if x is a prime factor

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If x and y are positive integers and if x is a prime factor

If x and y are positive integers and if x is a prime factor

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