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x > y, x and y are positive integers
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Updated on: 27 Nov 2022, 08:51
Updated on: 27 Nov 2022, 08:51
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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. \(\frac{x}{y} = k\); 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. \(\frac{x}{y} = k\); 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.
Originally posted by shadowcatradz on 22 Feb 2017, 02:23.
Last edited by Carcass on 27 Nov 2022, 08:51, edited 2 times in total.
Last edited by Carcass on 27 Nov 2022, 08:51, edited 2 times in total.
Edited by Carcass
Re: x > y, x and y are positive integers
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15 Oct 2017, 01:08
15 Oct 2017, 01:08
shadowcatradz wrote:
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. 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.
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Re: x > y, x and y are positive integers
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05 Sep 2018, 11:00
05 Sep 2018, 11:00
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LethalMonkey wrote:
shadowcatradz wrote:
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. 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.
I think you got the first option wrong my friend.
What the question wants to know is if x= a* y (where a is any number) they are asking if x is a factor of Y.
Now option one states that x/y=K which if you make simpler would look like x=Y*K which means both K and Y are factors of X.
