There are infinitely many numbers divisible by both 5 and 10.
To understand why, let's consider the information provided in the reference:
- The smallest natural number that is evenly divisible by both 5 and 10 is 10. This sets the stage for understanding the pattern.
- The reference also lists examples: 20, 30, 40, 50, and so on.
- Every number that is evenly divisible by 10 is also divisible by 5 because 10 is divisible by 5. This is key.
Explanation
Since every number divisible by 10 is also divisible by 5, we simply need to determine how many numbers are divisible by 10.
Examples
Here are a few examples of numbers divisible by both 5 and 10:
- 10
- 20
- 30
- 40
- 50
- 100
- 1000
- And so on...
Why the answer is infinite
You can keep multiplying 10 by any whole number and the result will always be divisible by both 5 and 10. Since there are an infinite number of whole numbers, there are an infinite number of multiples of 10.
Conclusion
Because the set of whole numbers is infinite, there are infinitely many numbers divisible by both 5 and 10.
