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TheToastedBread
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bkk145
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dr908
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anonymousegmat
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dr908
0 is not a multiple of anything. Have a calculator? Put in any integer divided by 0. Remember, multiple = divisor (same thing).

if you do that your calculator should read 'error' or 'undefined' because it is.

So to answer your question. How many multiples are there of 5? There are only 2, 1 and 5, making it a prime number.


you couldn't be more wrong. factors=divisor.

5 has an infinite amount of multiples, as does every real number.

zero is a multiple of every integer.
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anonymousegmat
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TheToastedBread
Apologies guys, a very basic query :?

In the GMAT world, is 0 considered to be a multiple of an integer?

eg: Would GMAT say that 0 is a multiple of 5? Or that 0 is a multiple of 6?

Many Thanks,
TheToastedBread


mathematics says 0 is a multiple of five. the GMAT does not invent math truths. the only interesting thing you should note is that sqroot(x^2)=|x| and not +/- x.

instead -sqrt(x^2)= -x

not sure why they make the distinction, as i've never run across that before.
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bkk145
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dr908
0 is not a multiple of anything. Have a calculator? Put in any integer divided by 0. Remember, multiple = divisor (same thing).

if you do that your calculator should read 'error' or 'undefined' because it is.

So to answer your question. How many multiples are there of 5? There are only 2, 1 and 5, making it a prime number.


I think you might have got the operation reversed.

Use 3 for example.
Say x is a multiple of 3, you get...
x = 3*integer
Therefore, x/3 = integer
So if x=0, then you get integer=0.

However, if you say x is a divisor of 3.
Then you get
3/x = integer
In this case, x cannot be zero.
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dr908
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I made a mistake. i got divisor and multiple switched. Apologize for any confusion.

Substitute 'factor' for 'multiple' in my statement, and what I have said is true.

Anonymousgmat is wrong though, i could have been more wrong. I could have said 1=2. Good thing I didn't or anonymousgmat would have been right.
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Robin in NC
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dr908
0 is not a multiple of anything. Have a calculator? Put in any integer divided by 0. Remember, multiple = divisor (same thing).

if you do that your calculator should read 'error' or 'undefined' because it is.

So to answer your question. How many multiples are there of 5? There are only 2, 1 and 5, making it a prime number.


I think you're confusing multiples with factors. The multiples of 5 are 5, 10, 15, 20,.......... The factors of 5 are 5 and 1. Factors=divisors. Since 5x0=0, it makes sense to me that 0 could be a multiple. But I don't know if that is true mathematically or if GMAT considers 0 a multiple.



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