To determine whether a number is divisible by 4 or 8 using divisibility tests, we can follow specific rules that apply to these numbers:
Divisibility by 4
A number is divisible by 4 if the last two digits of the number form a number that is divisible by 4. Here’s how we can apply this rule to our examples:
- 28: The last two digits are 28.
28 is divisible by 4 (28 ÷ 4 = 7). - 44: The last two digits are 44.
44 is also divisible by 4 (44 ÷ 4 = 11). - 96: The last two digits are 96.
96 is divisible by 4 (96 ÷ 4 = 24).
Since all of these numbers (28, 44, and 96) have their last two digits divisible by 4, we conclude that they are all divisible by 4.
Divisibility by 8
A number is divisible by 8 if the last three digits form a number that is divisible by 8. Let’s check our numbers:
- 28: The last three digits are 028.
028 is divisible by 8 (28 ÷ 8 = 3.5, which means it’s not divisible). - 44: The last three digits are 044.
044 is divisible by 8 (44 ÷ 8 = 5.5, which means it’s not divisible). - 96: The last three digits are 096.
096 is divisible by 8 (96 ÷ 8 = 12).
In conclusion:
- 28: Divisible by 4, not divisible by 8
- 44: Divisible by 4, not divisible by 8
- 96: Divisible by 4 and also divisible by 8
So, among the numbers 28, 44, and 96, both 28 and 44 are divisible by 4 but not by 8, while 96 is divisible by both 4 and 8.