Divisibility Rule of 8
2026-02-28 13:26 Diff
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Last updated on August 5, 2025

The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 8.

What is the Divisibility Rule of 8?

The divisibility rule for 8 is a method by which we can find out if a number is divisible by 8 or not without using the division method. Check whether 4,816 is divisible by 8 with the divisibility rule.

Step 1: Consider the last three digits of the number. Here, in 4,816, the last three digits are 816.

Step 2: Check if 816 is divisible by 8. Since 816 divided by 8 equals 102, which is an integer, 816 is divisible by 8.

Step 3: As it is shown that the last three digits are divisible by 8, the entire number (4,816) is divisible by 8.

Tips and Tricks for Divisibility Rule of 8

Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 8.

Know the multiples of 8:

Memorize the multiples of 8 (8, 16, 24, 32, 40, etc.) to quickly check divisibility. If the last three digits form a number that is a multiple of 8, then the entire number is divisible by 8.

Use the last three digits:

Focus only on the last three digits of a number to determine divisibility by 8. This simplifies the process significantly.

Repeat the process for large numbers:

If the number is too large, break it into parts and apply the rule to the last three digits of each part. For example, check if 45,472 is divisible by 8. The last three digits are 472, and since 472 divided by 8 equals 59, which is an integer, 45,472 is divisible by 8.

Use the division method to verify:

Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.

Common Mistakes and How to Avoid Them in Divisibility Rule of 8

The divisibility rule of 8 helps us quickly check if a given number is divisible by 8, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
 

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Problem 1

Can 1024 be divided by 8 using the divisibility rule?

Okay, lets begin

Yes, 1024 is divisible by 8.

Explanation

To check if 1024 is divisible by 8, we need to look at the last three digits of the number.
1) The last three digits are 024.
2) Check if 24 is divisible by 8. Yes, 24 is divisible by 8 (8 × 3 = 24).
3) Therefore, 1024 is divisible by 8.
 

Well explained 👍

Problem 2

Is 567 divisible by 8 using the divisibility rule?

Okay, lets begin

No, 567 is not divisible by 8.
 

Explanation

To check if 567 is divisible by 8, consider the last three digits.
1) The last three digits are 567.
2) Check if 567 is divisible by 8. 567 ÷ 8 = 70.875, which is not an integer.
3) Therefore, 567 is not divisible by 8.

Well explained 👍

Problem 3

Verify if 4096 follows the divisibility rule of 8.

Okay, lets begin

Yes, 4096 is divisible by 8.
 

Explanation

To verify if 4096 is divisible by 8, focus on the last three digits.
1) The last three digits are 096.
2) Check if 96 is divisible by 8. Yes, 96 is divisible by 8 (8 × 12 = 96).
3) Therefore, 4096 is divisible by 8.

Well explained 👍

Problem 4

Is -216 divisible by 8 according to the rule?

Okay, lets begin

Yes, -216 is divisible by 8.
 

Explanation

To determine if -216 is divisible by 8, consider the last three digits.
1) The last three digits are 216.
2) Check if 216 is divisible by 8. Yes, 216 is divisible by 8 (8 × 27 = 216).
3) Therefore, -216 is divisible by 8.

Well explained 👍

Problem 5

Check the divisibility of 735 using the rule for 8.

Okay, lets begin

No, 735 is not divisible by 8.
 

Explanation

To check if 735 is divisible by 8, look at the last three digits.
1) The last three digits are 735.
2) Check if 735 is divisible by 8. 735 ÷ 8 = 91.875, which is not an integer.
3) Therefore, 735 is not divisible by 8.
 

Well explained 👍

FAQs on Divisibility Rule of 8

1.What is the divisibility rule for 8?

The divisibility rule for 8 is to check if the last three digits of a number are divisible by 8.

2.How many numbers are there between 1 and 100 that are divisible by 8?

There are 12 numbers that can be divided by 8 between 1 and 100. The numbers are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96.

3.Is 56 divisible by 8?

Yes, because 56 is a multiple of 8 (8 × 7 = 56).

4.What if I get 0 after checking the last three digits?

If you get 0 after checking the last three digits, it is considered that the number is divisible by 8.

5.Does the divisibility rule of 8 apply to all integers?

Yes, the divisibility rule of 8 applies to all integers.

Important Glossaries for Divisibility Rule of 8

  • Divisibility Rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 8 if the last three digits form a number divisible by 8.
  • Multiples: The results we get after multiplying a number by an integer. For example, multiples of 8 are 8, 16, 24, 32, etc.
  • Digits: Individual numbers that make up a larger number, used here to focus on the last three digits for divisibility checks.
  • Integer: A whole number that can be positive, negative, or zero.
  • Division: The process of determining how many times one number is contained within another, used to verify divisibility.

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Fun Fact

: She loves to read number jokes and games.