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Is a number divisible by 4 always even explain why?

Updated: 4/28/2022

Wiki User

∙ 13y ago

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if x is divisible by 4 then x/4 = y, where y is an integer. so it follows that y = x/(2*2) and therefore 2y = x /2. since y is an integer, so must 2y. since x/2 yields an integer (2y), x must be even.

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Continue Learning about Other Math

What is always true about an even number?

It is always divisible by two.

Are all even numbers divisible?

They are all divisible by 2 - when they are divided by 2 the answer will always be whole number, not a fraction or a decimal.

What is the inverse statement of an even number is divisible by two?

If a number is not divisible by two then it is not an even number.

What even number is evenly divisible by 2?

The definition of an even number is a number that is divisible by 2. Thus ALL even numbers are evenly (sic) divisible by 2.

Is 5 even number?

An "even" number is a number that is divisible by 2. Since 5 is not divisible by 2, it is an "odd" number.

Related questions

Is 6 a factor of492 explain how you know?

492 is an even number so it must be divisible by 2. Its digits total a multiple of 3 so it must be divisible by 3. Any even number that is divisible by 3 is divisible by 6. Of course, you can always divide 492 by 6. If it comes out even, it's a factor. (It does.)

A even number is always divisible by what?

2

What is always true about an even number?

It is always divisible by two.

Is it always an even number if it is a number divisible by 4?

Yes.

Is a number divisible by 4 always even?

yes

Is any number divisible by 4 is it always even?

yes it can only be an even number

Is 3 an even number and why is it an even number?

3 is NOT an even number. It is an odd number. Even numbers are always divisible by 2; which 3 is not.

Is the sum of 2 even number is divisible by 2?

yes,sum of 2 even numbers is always divisible by 2.

Can a whole number ending in 8 be prime explain?

No. It is even and so divisible by 2.

Are all even numbers divisible?

They are all divisible by 2 - when they are divided by 2 the answer will always be whole number, not a fraction or a decimal.

Is ever number divisible by 3 an odd number?

no, not always for example 6 can be divided by 3 but it is even number.

What is the multiplication and division fact family for 2?

Any even number is divisible by 2. Use to to multiply and you always get an even number.

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