A number divisible by 4 but not by 8 is any even number where dividing it by 4 results in a whole number, but dividing it by 8 does not result in a whole number. In essence, these are numbers that are multiples of 4, but not multiples of 8.
Understanding Divisibility
- Divisible by 4: A number is divisible by 4 if the last two digits of the number are divisible by 4.
- Divisible by 8: A number is divisible by 8 if the last three digits of the number are divisible by 8.
Examples
Here are some examples of numbers divisible by 4 but not by 8:
- 4
- 12
- 20
- 28
- 36
- 44
- 52
- 60
- 68
- 76
- 84
- 92
- 100
Identifying Numbers Divisible by 4 but Not 8
To find such a number, you can start with a multiple of 4 (4, 8, 12, 16, 20...) and check if it's also divisible by 8. If it is, then move on to the next multiple of 4. If it isn't, then you've found a number that satisfies the condition.
General Form
The numbers divisible by 4 but not by 8 can be represented in the form of 8n + 4, where n is an integer.
