Dear Sir
I am so thankful to you that you have tabulated a number of useful information about the most important integer, the
ZERO INTEGERAs 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 itselfMahmud6 wrote:
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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Hi
gmatbustersThank 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.htmlI 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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