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Mahmud6
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Everything you need to know about ‘0’ for GMAT 04 Oct 2016, 22:13
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Everything you need to know about ‘0’ for GMAT

\(0\) is an integer.
\(0\) is an even integer.
\(0\) is not Prime Number.
\(0\) is not a natural number.
\(0\) is the only number that is neither positive nor negative.
\(0\) is the only number that is equal to its opposite; \(0=-0\).

\(0\) is multiple of every integer; \(0*2=0\)
\(0\) is the FIRST multiple of any number but NOT the FIRST POSITIVE multiple.
\(0\) is not a factor of any integer EXCEPT \(0\). OG 208

\(\frac{a}{0}=\) meaningless,undefined
\(\frac{0}{0}=\) indeterminate
\(\frac{0}{a}=0\)

\(0\) is a perfect square and also perfect cube.
\(0\) is the only number that when raised to the zero power does not necessarily equal to 1; \(0^0≠1\).

\(0^0\) is indeterminate and never appear on the GMAT
\(0^n=0 (n\neq{0})\)
\(n^0=1 (n\neq{0})\)
\(0^0≠1\)

\(0!=1\)
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Everything you need to know about ‘0’ for GMAT 10 Jan 2018, 08:43
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is zero a factor of zero?

Mahmud6
Everything you need to know about ‘0’ for GMAT

\(0\) is an integer.
\(0\) is an even integer.
\(0\) is not Prime Number.
\(0\) is not a natural number.
\(0\) is the only number that is neither positive nor negative.
\(0\) is the only number that is equal to its opposite; \(0=-0\).

\(0\) is multiple of every integer; \(0*2=0\)
\(0\) is the FIRST multiple of any number but NOT the FIRST POSITIVE multiple.
\(0\) is not a factor of any integer EXCEPT \(0\). OG 208

\(\frac{a}{0}=\) meaningless,undefined
\(\frac{0}{0}=\) indeterminate
\(\frac{0}{a}=0\)

\(0\) is a perfect square and also perfect cube.
\(0\) is the only number that when raised to the zero power does not necessarily equal to 1; \(0^0≠1\).

\(0^0\) is indeterminate and never appear on the GMAT
\(0^n=0 (n\neq{0})\)
\(n^0=1 (n\neq{0})\)
\(0^0≠1\)

\(0!=1\)
Show more
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Everything you need to know about ‘0’ for GMAT 10 Jan 2018, 08:51
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@Mahmud6, "Please recheck your statement that zero is not a factor of any number except zero".


Zero is not a factor of anything, period. Look at it this way: for y to be a factor of x, you would check whether x/y = integer.
For example, 3 is a factor of 15 because 15/3 = 5, an integer. But n/0 = undefined, not an integer. Thus zero cannot be a factor of n, regardless of n's value. You cannot say that 0/0 = 0 just because zero is the numerator. The denominator of 0 makes 0/0 undefined.

https://www.manhattanprep.com/gmat/foru ... t4998.html



Please see this reply by Manhattan
gmatbusters
is zero a factor of zero?

Mahmud6
Everything you need to know about ‘0’ for GMAT

\(0\) is an integer.
\(0\) is an even integer.
\(0\) is not Prime Number.
\(0\) is not a natural number.
\(0\) is the only number that is neither positive nor negative.
\(0\) is the only number that is equal to its opposite; \(0=-0\).

\(0\) is multiple of every integer; \(0*2=0\)
\(0\) is the FIRST multiple of any number but NOT the FIRST POSITIVE multiple.
\(0\) is not a factor of any integer EXCEPT \(0\). OG 208

\(\frac{a}{0}=\) meaningless,undefined
\(\frac{0}{0}=\) indeterminate
\(\frac{0}{a}=0\)

\(0\) is a perfect square and also perfect cube.
\(0\) is the only number that when raised to the zero power does not necessarily equal to 1; \(0^0≠1\).

\(0^0\) is indeterminate and never appear on the GMAT
\(0^n=0 (n\neq{0})\)
\(n^0=1 (n\neq{0})\)
\(0^0≠1\)

\(0!=1\)
Show more
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Everything you need to know about ‘0’ for GMAT Updated on: 11 Dec 2018, 10:16
Originally posted by Mahmud6 on 11 Jan 2018, 00:00.
Last edited by Mahmud6 on 11 Dec 2018, 10:16, edited 1 time in total.
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gmatbusters
@Mahmud6, "Please recheck your statement that zero is not a factor of any number except zero".


Zero is not a factor of anything, period. Look at it this way: for y to be a factor of x, you would check whether x/y = integer.
For example, 3 is a factor of 15 because 15/3 = 5, an integer. But n/0 = undefined, not an integer. Thus zero cannot be a factor of n, regardless of n's value. You cannot say that 0/0 = 0 just because zero is the numerator. The denominator of 0 makes 0/0 undefined.

https://www.manhattanprep.com/gmat/foru ... t4998.html



Please see this reply by Manhattan
gmatbusters
is zero a factor of zero?

Mahmud6
Everything you need to know about ‘0’ for GMAT

\(0\) is an integer.
\(0\) is an even integer.
\(0\) is not Prime Number.
\(0\) is not a natural number.
\(0\) is the only number that is neither positive nor negative.
\(0\) is the only number that is equal to its opposite; \(0=-0\).

\(0\) is multiple of every integer; \(0*2=0\)
\(0\) is the FIRST multiple of any number but NOT the FIRST POSITIVE multiple.
\(0\) is not a factor of any integer EXCEPT \(0\). OG 208

\(\frac{a}{0}=\) meaningless,undefined
\(\frac{0}{0}=\) indeterminate
\(\frac{0}{a}=0\)

\(0\) is a perfect square and also perfect cube.
\(0\) is the only number that when raised to the zero power does not necessarily equal to 1; \(0^0≠1\).

\(0^0\) is indeterminate and never appear on the GMAT
\(0^n=0 (n\neq{0})\)
\(n^0=1 (n\neq{0})\)
\(0^0≠1\)

\(0!=1\)
Show more
Hi gmatbusters

Thank you for raising an important question. +1 Kudos to you.

Seeing your post, I initially thought I might be incorrect. Intriguing a little bit more I searched on google and found following two wonderful writings.

https://curiouscheetah.com/BlogMath/is-z ... r-of-zero/
https://mathforum.org/library/drmath/view/68272.html

I think the above two links will help to understand the matter more clearly.

P.S.: I am not a math nerd. These write-up use a lot of math jargons, most of which I could not understand but understood the conclusion 'zero is unambiguously a factor of zero'.
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Everything you need to know about ‘0’ for GMAT 12 Jan 2018, 06:12
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Dear Sir
I am so thankful to you that you have tabulated a number of useful information about the most important integer, the ZERO INTEGER

As per official Quantitative review 2018, Factor/multiple is defined for non-zero integers.

so As far as GMAT is considered, zero is not a factor of any number including zero itself


Mahmud6
Everything you need to know about ‘0’ for GMAT

\(0\) is an integer.
\(0\) is an even integer.
\(0\) is not Prime Number.
\(0\) is not a natural number.
\(0\) is the only number that is neither positive nor negative.
\(0\) is the only number that is equal to its opposite; \(0=-0\).

\(0\) is multiple of every integer; \(0*2=0\)
\(0\) is the FIRST multiple of any number but NOT the FIRST POSITIVE multiple.
\(0\) is not a factor of any integer EXCEPT \(0\). OG 208

\(\frac{a}{0}=\) meaningless,undefined
\(\frac{0}{0}=\) indeterminate
\(\frac{0}{a}=0\)

\(0\) is a perfect square and also perfect cube.
\(0\) is the only number that when raised to the zero power does not necessarily equal to 1; \(0^0≠1\).

\(0^0\) is indeterminate and never appear on the GMAT
\(0^n=0 (n\neq{0})\)
\(n^0=1 (n\neq{0})\)
\(0^0≠1\)

\(0!=1\)
Show more
[/quote][/quote]
Hi gmatbusters

Thank you for raising an important question. +1 Kudos to you.

Seeing your post, I initially thought I might be incorrect. Intriguing a little bit more I searched on google and found following two wonderful writings.

https://curiouscheetah.com/BlogMath/is-z ... r-of-zero/
https://mathforum.org/library/drmath/view/68272.html

I think the above two links will help to understand the matter more clearly.

P.S.: I am not a math nerd. These write-ups use a lot of math jargons, most of which I could not understand but understood the conclusion 'zero is unambiguously a factor of zero'.[/quote]
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Everything you need to know about ‘0’ for GMAT 16 Sep 2024, 05:07
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