Yes, some numbers divisible by 5 are even numbers.
Understanding Divisibility and Even Numbers
To answer this question effectively, let's break down what it means for a number to be divisible by 5 and what it means for a number to be even.
- Divisibility by 5: A number is divisible by 5 if, when divided by 5, it leaves no remainder. This means numbers ending in 0 or 5 are divisible by 5.
- Even Numbers: An even number is any whole number that can be divided by 2 without leaving a remainder. Even numbers always end in 0, 2, 4, 6, or 8.
The Intersection: Numbers Divisible by 5 That Are Even
The key is to identify numbers that meet both conditions: being divisible by 5 and being even.
The reference mentions, "Any multiple of 10 is an even number divisible by 5." This is a crucial point.
Let's look at a few examples:
| Number | Divisible by 5? | Even Number? |
|---|---|---|
| 5 | Yes | No |
| 10 | Yes | Yes |
| 15 | Yes | No |
| 20 | Yes | Yes |
| 25 | Yes | No |
| 30 | Yes | Yes |
From this table, we see:
- Numbers ending in '5' are divisible by 5, but are always odd numbers.
- Numbers ending in '0' are divisible by 5, and are also always even numbers.
Conclusion
Therefore, any number that is a multiple of 10 is both divisible by 5 and is also an even number. Examples include 10, 20, 30, 40, 50, and so on. These numbers are divisible by 5 and are also even numbers because they end in the digit 0.
