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The set of even natural numbers which are multiples of 3 is an empty set. This is because even numbers are divisible by 2, while multiples of 3 are not divisible by 2. Therefore, there are no numbers that satisfy both conditions simultaneously.

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1mo ago
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15y ago

If the numbers are even, they are divisible by 2. So, the set of numbers must be divisible by both 2 and 3, which is the same as being divisible by 6.

The set is {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, ...}

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Q: What is the set of even natural numbers which are multiples of 3?
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Related questions

What is the set of even numbers?

The set of even numbers is the set of all the numbers that are divisible by 2 (or multiples of 2).


Is there a subset of the natural numbers that is closed for addition?

Yes. The entire set of natural numbers is closed under addition (but not subtraction). So are the even numbers (but not the odd numbers), the multiples of 3, of 4, etc.


Which number can divided by 3 without leaving a remainder?

The infinite set of numbers which are multiples of three. The infinite set of numbers which are multiples of three. The infinite set of numbers which are multiples of three. The infinite set of numbers which are multiples of three.


What are All multiples of two?

They are members of the infinite set of even numbers.


What is the set of odd numbers that are multiples of 10?

That's a null set. All multiples of 10 are even.


What are the common multiples of 2?

The multiples of 2 are all the positive even numbers. For them to be common, they need to be compared to another set of multiples.


Sets of numbers which has the property that the product of any two numbers in the set is also a number in the set?

Complex numbers, Real numbers, Rational numbers, Integers, Natural Numbers, Multiples of an integer.


Is the set of even numbers and set of multiples of 2 equal or equivalent sets?

Oh, what a happy little question! The set of even numbers and the set of multiples of 2 are actually the same set, my friend. You see, every even number is a multiple of 2, and every multiple of 2 is an even number. They dance together in perfect harmony on the canvas of mathematics.


Set of all even natural numbers less than 9?

set of all even natural numbers less than 9 Answer = {1,2,3,4,5,6,7,8}


What is the set of all even natural numbers?

Infinity.


What is the set of all even natural numbers less than 10?

set of all even natural numbers less than 10 = {2, 4, 6, 8}


What is the set of natural numbers that are multiples of 8?

That's an infinite set that starts with 8, 16, 24, 32, 40 and goes on forever.