What even number divided by 2 is odd?

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lemjay's profile pic

lemjay | High School Teacher | (Level 3) Senior Educator

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Note that even numbers are all divisible by 2. Examples are:

`2, 4 , 6 ,8 , 10, 12, 14, 16, 18, 20...`

Then, let's try to determine which of these even numbers would result to an odd quotient when divided by 2. Note that odd numbers are not divisible by 2.

`2-:2=1`                    `4-:2=2`

`6-:2=3`                    `8-:2=4`

`10-:2=5`                 `12-:2=6`

`14-:2=7`                 `16-:2=8`

`18-:2=9`                 `20-:2=10`

So,  2,6,10,14 and 18 are the even numbers that when divided by 2 result to odd numbers.

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Therefore,

                      `2 + 4n`     (where n is an integer)

are the even numbers that when divided by 2 result to an odd quotient.

Jyotsana's profile pic

Jyotsana | Student, Grade 10 | (Level 1) Valedictorian

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even number/2= odd number

2, 6,10,14,22,26,34,38,42

najm1947's profile pic

najm1947 | Elementary School Teacher | (Level 1) Valedictorian

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let n be any odd number then m = 2n is the number that when divided by 2 will give an odd number.

The series of numbers so obtained is 2*(1,3,5,7,9,11,-----)

or 2,6,10,14,18,22,----

this series is equivilant to:

 2+(4i) where i is an integer including zero

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