How can you determine if a number is divisible by 8?

To determine if a number is divisible by 8, you can check if the last three digits of the number form a number that is divisible by 8. This rule works because 1000 is divisible by 8, meaning that any increase in the higher place values (thousands and beyond) will not affect the divisibility of the number by 8.

For example, consider the number 5,672. The last three digits are 672. If you divide 672 by 8, you find that it results in 84, without a remainder, indicating that 5,672 is indeed divisible by 8. This method is efficient and quick for checking larger numbers, as you only need to focus on the last three digits rather than the entire number.

The other options do not provide a valid method for checking divisibility by 8. For instance, checking if the sum of the digits is even pertains more to divisibility by 2. Likewise, examining the last two digits for divisibility by 5 is irrelevant to the rule for 8, as 5 and 8 are different divisors with different properties. Ensuring that a number does not contain the digit 8 has no bearing on its divisibility by