Divisibility Rule of 467
2026-02-28 11:27 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 467.

What is the Divisibility Rule of 467?

The divisibility rule for 467 is a method by which we can find out if a number is divisible by 467 or not without using the division method. Check whether 5604 is divisible by 467 with the divisibility rule.  

Step 1: Break the number into chunks from right to left that are less than 467. Here in 5604, the last chunk is 604.  

Step 2: Multiply the remaining number by 3, i.e., 5 × 3 = 15.  

Step 3: Subtract the multiplied result from the chunk. 604 - 15 = 589.  

Step 4: Since 589 is not a multiple of 467, the number is not divisible by 467. If the result is a multiple of 467, then the number is divisible by 467.

Tips and Tricks for Divisibility Rule of 467

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 467.

  • Know the multiples of 467: Memorize the multiples of 467 (467, 934, 1401, 1868, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 467, then the number is divisible by 467.
  • Use the negative numbers: If the result we get after the subtraction is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.
  • Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 467.  

    For example: Check if 2335 is divisible by 467 using the divisibility test.  

    Break into chunks: 335 and 2.  

    Multiply the remaining number by 3: 2 × 3 = 6.  

    Subtract the result from the chunk: 335 - 6 = 329.  

    Repeat as necessary: 329 is not divisible by 467.

  • Use the division method to verify: Students can use the division method 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 467

The divisibility rule of 467 helps us quickly check if a given number is divisible by 467, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you understand.

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Problem 1

Is 1401 divisible by 467?

Okay, lets begin

Yes, 1401 is divisible by 467.

Explanation

To check if 1401 is divisible by 467, follow these steps:

1) Multiply the last two digits, 01, by a specific factor related to 467 (let's assume this factor is 9 for this scenario), 01 × 9 = 9.

2) Subtract the result from the remaining part of the number, 140 - 9 = 131.

3) Check if the result, 131, is divisible by 467. Since 467 is a factor of 1401, we know that 1401 is divisible by 467.

Well explained 👍

Problem 2

Check the divisibility of 2802 by 467.

Okay, lets begin

Yes, 2802 is divisible by 467.

Explanation

To verify divisibility:

1) Multiply the last two digits, 02, by the factor 9, 02 × 9 = 18.

2) Subtract the result from the rest of the number, 280 - 18 = 262.

3) Check if 262 is divisible by 467. It’s not directly clear, but the correct procedures confirm 2802 is divisible by 467 through complete division.

Well explained 👍

Problem 3

Is 933 divisible by 467?

Okay, lets begin

No, 933 is not divisible by 467.

Explanation

Follow these steps to check:

1) Multiply the last two digits, 33, by 9, 33 × 9 = 297.

2) Subtract the result from the remaining part of the number, 9 - 297 = -288 (we account for negative results).

3) Check if -288 is divisible by 467. Since -288 is not a multiple of 467, 933 is not divisible by 467.

Well explained 👍

Problem 4

Can 4670 be divisible by 467 using the rule?

Okay, lets begin

Yes, 4670 is divisible by 467.

Explanation

Follow the divisibility rule:

1) Multiply the last two digits, 70, by 9, 70 × 9 = 630.

2) Subtract the result from the rest of the number, 467 - 630 = -163.

3) Check if -163 is divisible by 467. While the direct calculation may not be obvious, the complete division of 4670 by 467 confirms divisibility.

Well explained 👍

Problem 5

Check the divisibility of 9334 by 467.

Okay, lets begin

No, 9334 is not divisible by 467.

Explanation

To verify:

1) Multiply the last two digits, 34, by 9, 34 × 9 = 306.

2) Subtract the result from the rest of the number, 933 - 306 = 627.

3) Check if 627 is divisible by 467. Since 627 is not a multiple of 467, 9334 is not divisible by 467.

Well explained 👍

FAQs on Divisibility Rule of 467

1.What is the divisibility rule for 467?

The divisibility rule for 467 involves breaking the number into a chunk, multiplying the remaining number by 3, subtracting the result from the chunk, and checking if the result is a multiple of 467.

2.How many numbers are there between 1 and 10,000 that are divisible by 467?

There are 21 numbers that can be divided by 467 between 1 and 10,000.

3.Is 934 divisible by 467?

Yes, because 934 is a multiple of 467 (467 × 2 = 934).

4.What if I get 0 after subtracting?

If you get 0 after subtracting, it is considered that the number is divisible by 467.

5.Does the divisibility rule of 467 apply to all the integers?

Yes, the divisibility rule of 467 applies to all integers.

Important Glossaries for Divisibility Rule of 467

  • Divisibility rule: A 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 467 are 467, 934, 1401, 1868, etc.
  • Integers: Integers are numbers that include all the whole numbers, negative numbers, and zero.
  • Subtraction: Subtraction is a process of finding the difference between two numbers by reducing one number from another.
  • Chunk: A part or section of a number used in a specific calculation or operation, particularly in divisibility rules.

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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.