Divisibility Rule of 336
2026-02-28 11:35 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 336.

What is the Divisibility Rule of 336?

The divisibility rule for 336 is a method by which we can find out if a number is divisible by 336 or not without using the division method. Check whether 672 is divisible by 336 with the divisibility rule.

Step 1: Check if the number is divisible by 3. The sum of the digits in 672 is 6+7+2 = 15, which is divisible by 3.

Step 2: Check if the number is divisible by 8. The last three digits of 672 are 672, and 672 is divisible by 8 (672 ÷ 8 = 84).

Step 3: Since 672 is divisible by both 3 and 8, it is divisible by 336.

Tips and Tricks for Divisibility Rule of 336

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 336.

  • Know the multiples of 336: Memorize the multiples of 336 (336, 672, 1008, 1344…etc.) to quickly check divisibility. If the number is a multiple of 336, then it is divisible by 336.
  • Use the basic rules of divisibility: Since 336 is a combination of factors 3 and 8, use the basic divisibility rules for 3 and 8 to check if a number is divisible by 336.
  • Repeat the process for large numbers: Students should keep repeating the divisibility process for each factor until they reach a small number that is divisible by both 3 and 8.

    For example: Check if 1344 is divisible by 336 using the divisibility test. 

    Check divisibility by 3: 1+3+4+4 = 12, which is divisible by 3. 

    Check divisibility by 8: The last three digits, 344, are divisible by 8 (344 ÷ 8 = 43). 

    Since 1344 is divisible by both 3 and 8, it is divisible by 336.

  • 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 verify and also learn.

Common Mistakes and How to Avoid Them in Divisibility Rule of 336

The divisibility rule of 336 helps us to quickly check if the given number is divisible by 336, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to avoid them.

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Problem 1

Does 672 have the property of divisibility by 336?

Okay, lets begin

Yes, 672 is divisible by 336.

Explanation

To verify the divisibility of 672 by 336, observe that 672 is exactly twice 336, i.e., 672 = 336 × 2.

Well explained 👍

Problem 2

Can 1008 be divided evenly by 336?

Okay, lets begin

Yes, 1008 is divisible by 336.

Explanation

To check the divisibility, notice that 1008 divided by 336 equals 3, i.e., 1008 = 336 × 3.

Well explained 👍

Problem 3

Is 1344 divisible by 336?

Okay, lets begin

Yes, 1344 is divisible by 336.

Explanation

To confirm divisibility, recognize that 1344 equals 336 multiplied by 4, i.e., 1344 = 336 × 4.

Well explained 👍

Problem 4

Examine if 1680 is divisible by 336.

Okay, lets begin

Yes, 1680 is divisible by 336.

Explanation

For verification, calculate that 1680 divided by 336 results in 5, i.e., 1680 = 336 × 5.

Well explained 👍

Problem 5

Check if 2352 is divisible by 336.

Okay, lets begin

Yes, 2352 is divisible by 336.

Explanation

To ensure divisibility, observe that 2352 is 336 times 7, i.e., 2352 = 336 × 7.

Well explained 👍

FAQs on Divisibility Rule of 336

1.What is the divisibility rule for 336?

The divisibility rule for 336 is checking if a number is divisible by both 3 and 8.

2.How many numbers are there between 1 and 1000 that are divisible by 336?

There are 2 numbers that can be divided by 336 between 1 and 1000. The numbers are 336 and 672.

3.Is 1008 divisible by 336?

Yes, because 1008 is a multiple of 336 (336 × 3 = 1008).

4.What if I get 0 after checking divisibility?

If you get 0 after checking divisibility, it is considered that the number is divisible by 336.

5.Does the divisibility rule of 336 apply to all integers?

Yes, the divisibility rule of 336 applies to all integers.

Important Glossaries for Divisibility Rule of 336

  • 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 2 if it ends with an even number.
  • Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 336 are 336, 672, 1008, 1344, etc.
  • Factors: Factors are numbers we can multiply together to get another number. For example, the factors of 336 include 3 and 8.
  • Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
  • Sum of digits: The sum of digits is the total obtained by adding all the digits in a number. For example, the sum of digits in 672 is 6+7+2=15.

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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.