Divisibility rules are a set of mathematical rules that help you determine if a number is divisible by another number. These rules are important tools for quickly checking whether a given number is divisible by another number, without having to perform lengthy calculations. In this article, we will explore the divisibility rule for 8, which is used to check whether a given number is divisible by 8. We will discuss the rule in detail, provide examples, and offer tips for using it effectively.

## What is the Divisibility Rule for 8?

The divisibility rule for 8 states that a number is divisible by 8 if the last three digits of the number are divisible by 8. In other words, if the last three digits of a number are 0, 8, 16, 24, 32, 40, 48, 56, 64, 72, or 80, then the number is divisible by 8.

## How to Use the Divisibility Rule for 8?

To use the divisibility rule for 8, you need to follow these steps:

### Step 1:

Take the number that you want to check for divisibility by 8 and look at its last three digits.

### Step 2:

Check if the last three digits of the number are divisible by 8.

### Step 3:

If the last three digits of the number are divisible by 8, then the entire number is divisible by 8. If the last three digits of the number are not divisible by 8, then the entire number is not divisible by 8.

## Examples of Using the Divisibility Rule for 8

Let’s take a look at some examples to see how the divisibility rule for 8 works.

### Example 1:

Is 5,712 divisible by 8?

Step 1: The last three digits of 5,712 are 712.

Step 2: 712 is not divisible by 8.

Step 3: Therefore, 5,712 is not divisible by 8.

### Example 2:

Is 7,616 divisible by 8?

Step 1: The last three digits of 7,616 are 616.

Step 2: 616 is divisible by 8.

Step 3: Therefore, 7,616 is divisible by 8.

## Tips for Using the Divisibility Rule for 8 Effectively

Here are some tips for using the divisibility rule for 8 effectively:

- Practice using the rule with different numbers to improve your speed and accuracy.
- Always double-check your work to avoid making errors.
- If the number is not divisible by 8, try using another divisibility rule to see if it is divisible by a different number.

## Conclusion

The divisibility rule for 8 is a useful tool for quickly checking whether a number is divisible by 8. By following the simple steps outlined in this article, you can easily determine whether a number is divisible by 8 or not. Remember to practice using the rule with different numbers to improve your skills and accuracy.

## FAQs

### What is a divisibility rule?

A divisibility rule is a mathematical rule that helps you determine whether a number is divisible by another number without having to perform lengthy calculations.

### How many divisibility rules are there?

There are several divisibility rules, including rules for determining whether a number is divisible by 2, 3, 4, 5, 6, 7, 8, 9, and 10.

### What is the divisibility rule for 6?

The divisibility rule for 6 states that a number is divisible by 6 if it is divisible by both 2 and 3.

### Can you use the divisibility rule for 8 with any number?

The divisibility rule for 8 only applies to whole numbers, and the number must have at least three digits.

### Are there any other rules for checking divisibility by 8?

There are no other rules for checking divisibility by 8. However, you can use other divisibility rules to check whether a number is divisible by a different number.