Q: What are natural numbers and their examples?

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You can give hundreds of examples, but a single counterexample shows that natural numbers are NOT closed under subtraction or division. For example, 1 - 2 is NOT a natural number, and 1 / 2 is NOT a natural number.

All natural numbers are rational numbers. No irrational numbers are natural numbers.

I believe you may be talking about prime numbers. A few examples of prime numbers would be 2,3,5,7,11,13. Although I am confused by the word divisor. The only two factors of prime numbers are 1 and itself.

Natural numbers extend from 1 to positive infinity.Real numbers are all numbers between negative infinity and positive infinity.ALL natural numbers are real numbers, but NOT ALLreal numbers are natural numbers.

All natural numbers are integers, not all integers are natural numbers.

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counting numbers are like natural numbers not including 0

Natural numbers are the counting numbers: 1, 2, 3, and so on for ever. Some mathematicians include 0, others don't. No negative numbers, no fractions.

They are called natural numbers. Examples include: 1 2 3 100 100,000

You can give hundreds of examples, but a single counterexample shows that natural numbers are NOT closed under subtraction or division. For example, 1 - 2 is NOT a natural number, and 1 / 2 is NOT a natural number.

Negative numbers are not natural, but there are negative integers. Examples are -1,-2,-3,-4, and so on. These are all integers but none of them is a natural number.

Yes, all natural numbers are real numbers. Natural numbers are a subset of real numbers, so not all real numbers are natural numbers.

It is the set of natural numbers.

All natural numbers are rational numbers. No irrational numbers are natural numbers.

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The set of rational numbers includes the set of natural numbers but they are not the same. All natural numbers are rational, not all rational numbers are natural.

No. Natural numbers are a subset of whole numbers. Negative numbers are whole numbers but not natural.