Multiple of any numbers are infinite. We know counting numbers they are 1, 2, 3, 4, 5, 6…. To get multiples of any number, we multiply counting numbers with that number.

- Q. Can a number have infinite multiples?
- Q. How many multiples are there of any natural number?
- Q. Does every natural number have an infinite number of factors or multiples?
- Q. Does every natural number has a finite number of factors?
- Q. Is the set of multiples of 6 Infinite?
- Q. When are the natural numbers the universal set?
- Q. Which is the smallest multiple of a natural number?
- Q. Is there such a thing as a natural number?
- Q. Which is the set of all natural number multiples of 15?

## Q. Can a number have infinite multiples?

A multiple of a number is an integer. For any number, there is an infinite amount of multiples.

## Q. How many multiples are there of any natural number?

All the natural numbers are multiples of 1. There is no end to multiples of any number.

## Q. Does every natural number have an infinite number of factors or multiples?

Similarly, for every natural number, the multiple of 9 is different. Since there are infinite natural numbers, there are infinite multiples of 9. Therefore, every counting number has an infinite number of multiples.

## Q. Does every natural number has a finite number of factors?

Every factor has a finite number of factors . But no. of multiples of a number is infinite .

## Q. Is the set of multiples of 6 Infinite?

## Q. When are the natural numbers the universal set?

General Property when the Natural Numbers is the Universal Set: a is a factor of b if there is a k so that b = ak with { a, b, k } is a subset of the natural numbers. b is a multiple of a if there is a number k so that b = ak with { a, b, k } is a subset of the natural numbers.

## Q. Which is the smallest multiple of a natural number?

Multiples behave a little different. We have infinitely many common multiples, thus there is no largest one of them. But since all these common multiples are natural numbers, there still must be a smallest one of them, a least common multiple, denoted by LCM. Take LCM(6,9)=18 as example.

## Q. Is there such a thing as a natural number?

No, all natural numbers are defined to be finite. That doesn’t mean your thing doesn’t make sense, but it’s not a natural number. – Billy Aug 17 ’11 at 16:15 No. The natural numbers are 1, 2, 3, and so on, and that’s all. Your expression, if we interpret … to mean that the digits go on forever, does not represent a natural number.

## Q. Which is the set of all natural number multiples of 15?

The set of all the natural number multiples of 15 is {15, 30, 45, 60, …, 15n, …}. The set of all the whole number multiples of 15 is {0, 15, 30, 45, 60, …, 15n, …}. Note that the universe affects the answer. Zero is a whole number multiple of every number since 0 × a = 0.

In this video, I go over the multiples of 6 to 20 places.

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