To determine if a number is divisible by 4 or 8, we can use simple divisibility rules. A number is divisible by:
- 4 if the last two digits form a number that is divisible by 4.
- 8 if the last three digits form a number that is divisible by 8.
Let’s apply these rules to some examples:
Example 1: 1232
Last two digits: 32. Since 32 ÷ 4 = 8, 1232 is divisible by 4.
Last three digits: 232. Since 232 ÷ 8 = 29, 1232 is also divisible by 8.
Example 2: 5678
Last two digits: 78. Since 78 ÷ 4 = 19.5, 5678 is not divisible by 4.
Last three digits: 678. Since 678 ÷ 8 = 84.75, 5678 is not divisible by 8.
Example 3: 240
Last two digits: 40. Since 40 ÷ 4 = 10, 240 is divisible by 4.
Last three digits: 240. Since 240 ÷ 8 = 30, 240 is also divisible by 8.
By using these divisibility tests, you can determine if a number is divisible by 4 or 8 easily. Make sure to check the correct number of digits according to the rule for each divisor.