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Sure there are greater numbers. For example, 4 is greater than 3.

If you mean "... no greatest number", the reason is that you can always add one more, and get a number that is even greater. Thus, for example, 10 is not the greatest number, because you can add one and get 11. 11 is not the greatest number either, because you can add one and get 12. Etc.

Q: Why there is no greater natural number?

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A natural counting number is a positive number greater than 0

it is called a counting number or a natural number

No because natural numbers are whole numbers greater than 0

5 is a natural number, as it is an integer greater than zero. It is a whole number, an integer, and a rational number.

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No because natural number are positive whole numbers greater than 0

A natural counting number is a positive number greater than 0

No because natural number are whole numbers greater than 0

9 is a natural number, as is any whole number greater than zero.

it is called a counting number or a natural number

The prime number 53 is a natural number, as is any whole number greater than zero.

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No because natural numbers are whole numbers greater than 0

5 is a natural number, as it is an integer greater than zero. It is a whole number, an integer, and a rational number.

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How about 8 as one example

Prime Number.