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Last updated on February 18th, 2025

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Divisibility Rule of 884

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Foundation
Intermediate
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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 884.

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What is the Divisibility Rule of 884?

The divisibility rule for 884 is a method by which we can find out if a number is divisible by 884 or not without using the division method.

Check whether 1768 is divisible by 884 with the divisibility rule. 

 

Step 1: Look at the last three digits of the number. Here in 1768, the last three digits are 768. 

 

Step 2: Check if the number 768 is divisible by 884. Here, 768 is not divisible by 884.

 

Step 3: If the last three digits form a number that is divisible by 884, then the entire number is divisible by 884. If not, then the number isn't divisible by 884.

divisibility rule of 884

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Tips and Tricks for Divisibility Rule of 884

Learning the divisibility rule helps kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 884.

 

Know the multiples of 884:


Memorize the multiples of 884 (884, 1768, 2652, 3536, etc.) to quickly check divisibility. If the last three digits form a number that is a multiple of 884, then the number is divisible by 884.

 

Use large numbers:


If the number is large, break it down into smaller parts and check the last three digits for divisibility by 884.

 

Verify with the division method:


Use the division method as a way to verify and crosscheck your results. This will help in verifying and also learning.

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Common Mistakes and How to Avoid Them in Divisibility Rule of 884

The divisibility rule of 884 helps us to quickly check if the given number is divisible by 884, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you avoid them.

Mistake 1

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Not checking the correct number of digits.

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Ensure you are checking the last three digits of the number to determine divisibility by 884.

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Divisibility Rule of 884 Examples

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Problem 1

Is 3536 divisible by 884?

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Yes, 3536 is divisible by 884.

Explanation

To determine if 3536 is divisible by 884, consider the context of a factory that produces widgets in batches of 884. If the factory produces 3536 widgets, we want to know if they can be perfectly divided into batches. 

1) Divide 3536 by 884. 3536 ÷ 884 = 4.

2) Since the result is an integer, 3536 is divisible by 884, meaning all widgets can be perfectly divided into batches.

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Problem 2

Check if 4420 follows the divisibility rule of 884.

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No, 4420 is not divisible by 884.

Explanation

Imagine a shipping company that transports goods in containers that hold 884 units. If they have 4420 units to ship, we need to check if these units can fully fit in containers.

1) Divide 4420 by 884. 4420 ÷ 884 ≈ 5.002.

2) The quotient is not an integer; therefore, 4420 is not divisible by 884, indicating not all units can be perfectly packed into containers.

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Problem 3

Is -8840 divisible by 884?

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Yes, -8840 is divisible by 884.

Explanation

Consider a bank that processes transactions in multiples of 884. A withdrawal of -8840 needs verification if it matches the transaction rule.

1) Remove the negative sign and divide 8840 by 884. 8840 ÷ 884 = 10.

2) Since the result is an integer, -8840 is divisible by 884, meaning the withdrawal aligns with the bank's transaction rule.

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Problem 4

Can 177 be divisible by 884?

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No, 177 is not divisible by 884.

Explanation

Think of a team-building event where participants are grouped in 884-member teams. If there are only 177 participants, we need to check if they can form a complete team.

1) Divide 177 by 884. 177 ÷ 884 ≈ 0.200.

2) The quotient is not an integer; therefore, 177 is not divisible by 884, indicating they cannot form a complete team.

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Problem 5

Check the divisibility rule of 884 for 7968.

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Yes, 7968 is divisible by 884.

Explanation

A construction project uses steel beams that are 884 units long. If the project requires a length of 7968 units, we need to verify if this length can be formed using complete beams.

1) Divide 7968 by 884. 7968 ÷ 884 = 9.

2) Since the result is an integer, 7968 is divisible by 884, confirming the project can use complete beams without cutting.

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FAQs on Divisibility Rule of 884

1.What is the divisibility rule for 884?

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2.How many numbers are there between 1 and 10,000 that are divisible by 884?

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3.Is 2652 divisible by 884?

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4.What if I get a remainder after dividing?

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5.Does the divisibility rule of 884 apply to all integers?

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Important Glossaries for Divisibility Rule of 884

  • Divisibility Rule: A set of guidelines used to determine if a number is divisible by another number.

 

  • Multiples: The results obtained by multiplying a number by integers. For example, multiples of 884 are 884, 1768, 2652, etc.

 

  • Integers: Numbers that include all whole numbers, negative numbers, and zero.

 

  • Remainder: The amount left over after division.

 

  • Division: The process of dividing a number into equal parts to determine how many times one number fits into another.
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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.

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Fun Fact

: She loves to read number jokes and games.

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