Yes, a number can have an infinite number of multiples.
Understanding Multiples
A multiple of a number is simply the result of multiplying that number by an integer (whole number). For example, the multiples of 5 are 5, 10, 15, 20, 25, and so on.
Why Multiples are Infinite
Since there are infinitely many integers (both positive and negative), you can continuously multiply a given number by a new integer to generate a new multiple. The process never ends.
Examples
- Multiples of 2: 2, 4, 6, 8, 10, 12, ...
- Multiples of 7: 7, 14, 21, 28, 35, 42, ...
- Multiples of 10: 10, 20, 30, 40, 50, 60, ...
The list of multiples continues indefinitely in each case.
Conclusion
In summary, because you can always multiply a number by another integer, the number of multiples for any given number is limitless.
