Divisibility Rule of 987
2026-02-28 19:09 Diff
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Last updated on August 5, 2025

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.

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
 

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.
 

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

The divisibility rule of 987 helps us quickly check if a given number is divisible by 987, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
 

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Problem 1

Is 1974 divisible by 987?

Okay, lets begin

Yes, 1974 is divisible by 987.
 

Explanation

To check if 1974 is divisible by 987, consider that 987 is half of 1974. 


1) Divide 1974 by 987, which equals 2. 


2) Since the division results in a whole number, 1974 is divisible by 987.
 

Well explained 👍

Problem 2

Can 2961 be divided by 987 without a remainder?

Okay, lets begin

Yes, 2961 is divisible by 987.
 

Explanation

To check the divisibility of 2961 by 987:


1) Divide 2961 by 987, resulting in 3.


2) Since the quotient is an integer, 2961 is divisible by 987.
 

Well explained 👍

Problem 3

Is 4935 a multiple of 987?

Okay, lets begin

 No, 4935 is not divisible by 987.
 

Explanation

To verify the divisibility of 4935 by 987:


1) Divide 4935 by 987, which results in approximately 5.0005.


2) Since the result is not a whole number, 4935 is not divisible by 987.
 

Well explained 👍

Problem 4

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

Okay, lets begin

No, 986 is not divisible by 987.
 

Explanation

For checking the divisibility of 986 by 987:


1) Clearly, 986 is less than 987.


2) Since 986 is smaller and does not reach 987, it is not divisible by 987.
 

Well explained 👍

Problem 5

Is 19740 divisible by 987?

Okay, lets begin

 Yes, 19740 is divisible by 987.
 

Explanation

To determine if 19740 is divisible by 987:


1) Divide 19740 by 987, resulting in 20.


2) As the division yields a whole number, 19740 is divisible by 987.
 

Well explained 👍

FAQs on Divisibility Rule of 987

1.What is the divisibility rule for 987?

 The divisibility rule for 987 involves breaking the number into parts, checking each part’s divisibility by 987, and using combinations of parts, if necessary.
 

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

There are 3 numbers that can be divided by 987 between 1 and 3000. The numbers are 987, 1974, and 2961.
 

3.Is 2961 divisible by 987?

Yes, because 2961 is a multiple of 987 (987 × 3 = 2961).

4.What if I get 0 after subtraction?

If you get 0 after subtracting, it is considered that the number is divisible by 987.
 

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

Yes, the divisibility rule of 987 applies to all integers.
 

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.
  • 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.

Fun Fact

: She loves to read number jokes and games.