Divisibility Rule of 329
2026-02-28 11:24 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 329.

What is the Divisibility Rule of 329?

The divisibility rule for 329 is a method by which we can find out if a number is divisible by 329 or not without using the division method. Check whether 9887 is divisible by 329 with the divisibility rule.

Step 1: Separate the number into two parts, the last three digits and the remaining digits. For 9887, separate it into 987 and 9.

Step 2: Multiply the last three digits by 1 and the remaining digits by 3. So, 987 × 1 = 987 and 9 × 3 = 27.

Step 3: Add the results from Step 2. 987 + 27 = 1014.

Step 4: Check if the result from Step 3 is divisible by 329. Since 1014 is not a multiple of 329, 9887 is not divisible by 329.

Tips and Tricks for Divisibility Rule of 329

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 329.

  • Know the multiples of 329: Memorize the multiples of 329 (329, 658, 987, etc.) to quickly check divisibility. If the result from the addition is a multiple of 329, then the number is divisible by 329.
  • Use the division method to verify: Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
  • Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 329. 

    For example: Check if 19764 is divisible by 329 using the divisibility test.

      Separate into 764 and 19.764 × 1 = 764 and 19 × 3 = 57.Add them: 764 + 57 = 821.

    Since 821 is a multiple of 329, 19764 is divisible by 329.

Common Mistakes and How to Avoid Them in Divisibility Rule of 329

The divisibility rule of 329 helps us to quickly check if the given number is divisible by 329, 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

Is 987 divisible by 329?

Okay, lets begin

Yes, 987 is divisible by 329.

Explanation

Since 987 is a larger number, let's apply a hypothetical divisibility rule for 329:

Break the number into segments of 3 digits each if possible, starting from the right. Here, it's just 987.

Divide 987 by 329 to see if it results in a whole number.

987 ÷ 329 = 3, which is a whole number, so 987 is divisible by 329.

Well explained 👍

Problem 2

Check the divisibility rule of 329 for 1974.

Okay, lets begin

Yes, 1974 is divisible by 329.

Explanation

To check the divisibility of 1974 by 329:

Break the number into two parts: 1 and 974.

Consider a hypothetical rule where we assess if the sum of these parts is divisible by 329.

1 + 974 = 975. Now divide 975 by 329.

975 ÷ 329 = 2.961, which is not a whole number, so this test fails.

However, checking directly 1974 ÷ 329 = 6, which is a whole number, confirming divisibility.

Well explained 👍

Problem 3

Is -658 divisible by 329?

Okay, lets begin

No, -658 is not divisible by 329.

Explanation

To check if -658 is divisible by 329:

Remove the negative sign and consider the absolute value 658.
Directly divide 658 by 329.

658 ÷ 329 = 2, which is a whole number, so 658 is divisible by 329, but considering the negative, -658 is not divisible by the positive 329 without remainder in this hypothetical rule set.

Well explained 👍

Problem 4

Can 329 itself be divisible by 329 following the divisibility rule?

Okay, lets begin

Yes, 329 is divisible by 329.

Explanation

Any number is divisible by itself:

Since 329 divided by 329 equals 1, which is a whole number, 329 is divisible by itself.

Well explained 👍

Problem 5

Check the divisibility rule of 329 for 2632.

Okay, lets begin

Yes, 2632 is divisible by 329.

Explanation

To check the divisibility of 2632 by 329:

Divide 2632 by 329 directly.

2632 ÷ 329 = 8, which is a whole number, confirming that 2632 is divisible by 329.

Well explained 👍

FAQs on Divisibility Rule of 329

1.What is the divisibility rule for 329?

The divisibility rule for 329 involves separating the number, multiplying the last three digits by 1 and the remaining digits by 3, then adding the results and checking if it is divisible by 329.

2.How many numbers are there between 1 and 1000 that are divisible by 329?

There are 3 numbers that can be divided by 329 between 1 and 1000. The numbers are 329, 658, and 987.

3.Is 987 divisible by 329?

Yes, because 987 is a multiple of 329 (329 × 3 = 987).

4.What if I get 0 after addition?

If you get 0 after addition, it is considered that the number is divisible by 329.

5.Does the divisibility rule of 329 apply to all integers?

Yes, the divisibility rule of 329 applies to all integers.

Important Glossaries for Divisibility Rule of 329

  • Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
  • Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 329 are 329, 658, 987, etc.
  • Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
  • Addition: Addition is the process of calculating the total of two or more numbers or amounts.
  • Separation: The process of dividing a number into parts to apply divisibility rules effectively.

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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.