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number properties

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number properties [#permalink]  22 Feb 2017, 02:23
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x > y, x and y are positive integers. Which of the following statements provide the necessary information to state that y is a factor of x?

1. x/y = k; k is a positive integer
2. x is a multiple of 6 and y is a multiple of 3
3. Every prime factor of y is also a prime factor of x.
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Re: number properties [#permalink]  15 Oct 2017, 01:08
x > y, x and y are positive integers. Which of the following statements provide the necessary information to state that y is a factor of x?

1. x/y = k; k is a positive integer
2. x is a multiple of 6 and y is a multiple of 3
3. Every prime factor of y is also a prime factor of x.

1. This is true only for even number, but x and y can be odd too.
2. but y cannot be multiple of 3 and then factor of x for all cases e.g. X = 54 and Y = 15.
3. This is possible e.g. if we factor out a multiple of 6 say 18 = 2*3*3 and 9 = 3*3 , so factor of 9 included in 18. so option 3 is the answer.
Re: number properties   [#permalink] 15 Oct 2017, 01:08
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