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To determine if a number is divisible by 8, focus on the last three digits of the number. If these digits form a number that can be evenly divided by 8, then the original number is divisible by 8. For instance, in the case of 123456, look at the last three digits: 456. If 456 is divisible by 8, then so is 123456. This rule simplifies checking larger numbers because you only need to consider the last three digits.
For smaller numbers, such as 48, with fewer than three digits, consider the whole number. If the whole number can be divided by 8 without leaving a remainder, it is divisible by 8. Let's consider 48. Since 48 divided by 8 equals 6, which is an integer, 48 is divisible by 8.

Checking divisibility by a specific number involves a few straightforward steps. First, know the divisibility rules for the number in question. For 8, as stated, look at the number formed by the last three digits.
Next, perform the division and see if the result is a whole number. If it is, and there is no remainder, the original number is divisible by 8. For example, take 5648. Check the last three digits: 648. Perform the calculation \(648 \div 8 = 81\). Since 81 is a whole number, 5648 is divisible by 8.
This method allows you to quickly assess whether a number fits the criteria, aiding in quick decision-making without extensive calculations.

Basic arithmetic involves the fundamental operations of addition, subtraction, multiplication, and division. These operations are key to solving many mathematical problems, including checking for divisibility.
Let's break down the division operation. When dividing, you see how many times one number (the divisor) fits into another (the dividend). If the result is a whole number and fits evenly, it means there's no remainder, indicating the division is perfect. For example, dividing 48 by 8: \(48 \div 8 = 6\). Since the result is 6, a whole number, it means the division is exact.
Understanding how to perform these operations is crucial for verifying divisibility, ensuring you can check your work efficiently and accurately.