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Last updated on February 18th, 2025

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Divisibility Rule of 987

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Foundation
Intermediate
Advance Topics

The divisibility rule is a way to determine 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 items. In this topic, we will learn about the divisibility rule of 987.

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What is the Divisibility Rule of 987?

The divisibility rule for 987 is a method to find out if a number is divisible by 987 without using the division method. Check whether 1974 is divisible by 987 with the divisibility rule.

 

Step 1: Break the number into smaller parts that are easier to calculate with the divisor. Here, in 1974, consider it as two parts: 1000+974.

 

Step 2: Check each part's divisibility by 987 separately. Since 1000 is not a multiple of 987, check the next part.

 

Step 3: Since 974 is not divisible by 987 and combining both does not result in a multiple of 987, 1974 is not divisible by 987
 

divisibility rule of 987

Professor Greenline from BrightChamps

What is the Divisibility Rule of 987?

The divisibility rule for 987 is a method to find out if a number is divisible by 987 without using the division method. Check whether 1974 is divisible by 987 with the divisibility rule.

 

Step 1: Break the number into smaller parts that are easier to calculate with the divisor. Here, in 1974, consider it as two parts: 1000+974.

 

Step 2: Check each part's divisibility by 987 separately. Since 1000 is not a multiple of 987, check the next part.

 

Step 3: Since 974 is not divisible by 987 and combining both does not result in a multiple of 987, 1974 is not divisible by 987.
 

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Tips and Tricks for Divisibility Rule of 987

Learning the divisibility rule can help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 987.

 

1. Know the multiples of 987:

 

Memorize the multiples of 987 (987, 1974, 2961, etc.) to quickly check divisibility. If any part or combination of parts forms a multiple of 987, then the number is divisible by 987.

 

2. Use the division method to verify:

 

Students can use the division method to verify and crosscheck their results. This will help them verify and also learn.

 

3. Check sums and differences:

 

Sometimes checking the sum or difference of parts might reveal a multiple of 987, helping in determining divisibility.

 

4. Repeat the process for large numbers:

 

Students should keep repeating the divisibility process until they reach a manageable form that is easily checked for divisibility by 987.

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Common Mistakes and How to Avoid Them in Divisibility Rule of 987

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Divisibility Rule of 987 Examples

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Problem 1

Is 1974 divisible by 987?

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Explanation

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Problem 2

Can 2961 be divided by 987 without a remainder?

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Explanation

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Problem 3

Is 4935 a multiple of 987?

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Explanation

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Problem 4

Check if 986 is divisible by 987 using the divisibility rule.

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Explanation

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Problem 5

Is 19740 divisible by 987?

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Explanation

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FAQs on Divisibility Rule of 987

1.What is the divisibility rule for 987?

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2. How many numbers are there between 1 and 3000 that are divisible by 987?

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3.Is 2961 divisible by 987?

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4.What if I get 0 after subtraction?

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5.Does the divisibility rule of 987 apply to all integers?

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Important Glossary for Divisibility Rule of 987

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

 

  • Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 987 are 987, 1974, 2961, etc.

 

  • Integer: A number that is a whole number, negative number, or zero.

 

  • Verification: The process of confirming the accuracy of a result, often by utilizing a different method such as division.

 

  • Subtraction: The process of finding the difference between two numbers by reducing one from 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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