A number is divisible by 8 when its last three digits are either all zeros or form a number divisible by 8. This is based on the divisibility rule of 8.
Divisibility Rule of 8
According to the divisibility rule of 8:
- If the last three digits of a number are zeros, the number is divisible by 8.
- If the number formed by the last three digits is divisible by 8, then the entire number is divisible by 8.
Examples
Here are some examples illustrating this rule:
- Example 1: The number 1000 is divisible by 8 because its last three digits are 000.
- Example 2: Consider the number 4832. The last three digits, 832, form a number that is divisible by 8 (832 / 8 = 104). Therefore, 4832 is divisible by 8.
- Example 3: Take the number 123456. The last three digits are 456. Since 456 / 8 = 57, 456 is divisible by 8, and so 123456 is also divisible by 8.
- Example 4: If we look at 987654, the last three digits are 654. 654 is not divisible by 8. Thus 987654 is not divisible by 8.
In summary, to determine if a number is divisible by 8, focus solely on the number formed by its last three digits.
