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Question Number 102467 by bemath last updated on 09/Jul/20

hello friends, is zero an   even or odd number or not   both?

$${hello}\:{friends},\:{is}\:{zero}\:{an}\: \\ $$$${even}\:{or}\:{odd}\:{number}\:{or}\:{not}\: \\ $$$${both}? \\ $$

Commented by Dwaipayan Shikari last updated on 09/Jul/20

even

$${even} \\ $$

Commented by Rasheed.Sindhi last updated on 09/Jul/20

Integer divisible by 2 is even number  and 2 ∣ 0,so its surely even.

$${Integer}\:{divisible}\:{by}\:\mathrm{2}\:{is}\:{even}\:{number} \\ $$$${and}\:\mathrm{2}\:\mid\:\mathrm{0},{so}\:{its}\:{surely}\:{even}. \\ $$

Commented by bemath last updated on 09/Jul/20

but any referensi if zero  not both

$${but}\:{any}\:{referensi}\:{if}\:{zero} \\ $$$${not}\:{both} \\ $$

Commented by bemath last updated on 09/Jul/20

sir how if (0/3) = 0 ?

$${sir}\:{how}\:{if}\:\frac{\mathrm{0}}{\mathrm{3}}\:=\:\mathrm{0}\:?\: \\ $$

Commented by Rasheed.Sindhi last updated on 09/Jul/20

Even number(some) can be divided  by 3 or any other odd number.  (6/3)=2    3∣6

$$\mathcal{E}{ven}\:{number}\left({some}\right)\:{can}\:{be}\:{divided} \\ $$$${by}\:\mathrm{3}\:{or}\:{any}\:{other}\:{odd}\:{number}. \\ $$$$\frac{\mathrm{6}}{\mathrm{3}}=\mathrm{2}\:\:\:\:\mathrm{3}\mid\mathrm{6} \\ $$

Answered by abdomsup last updated on 10/Jul/20

0=2×0 ⇒o is even(at form 2k)  odd →2k+1

$$\mathrm{0}=\mathrm{2}×\mathrm{0}\:\Rightarrow{o}\:{is}\:{even}\left({at}\:{form}\:\mathrm{2}{k}\right) \\ $$$${odd}\:\rightarrow\mathrm{2}{k}+\mathrm{1} \\ $$

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