156 LearnersLast updated on May 26th, 2025
Divisibility Rule of 987
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.
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.
Mistake 1
Not following the correct steps.
Students should follow the correct steps by breaking the number into manageable parts and checking each part’s divisibility.
Divisibility Rule of 987 Examples
Problem 1
Is 1974 divisible by 987?
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.
Problem 2
Can 2961 be divided by 987 without a remainder?
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.
Problem 3
Is 4935 a multiple of 987?
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.
Problem 4
Check if 986 is divisible by 987 using the divisibility rule.
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.
Problem 5
Is 19740 divisible by 987?
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.
FAQs on Divisibility Rule of 987
1.What is the divisibility rule for 987?
2. How many numbers are there between 1 and 3000 that are divisible by 987?
3.Is 2961 divisible by 987?
4.What if I get 0 after subtraction?
5.Does the divisibility rule of 987 apply to all integers?
6.How can children in United Arab Emirates use numbers in everyday life to understand Divisibility Rule of 987?
7.What are some fun ways kids in United Arab Emirates can practice Divisibility Rule of 987 with numbers?
8.What role do numbers and Divisibility Rule of 987 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Divisibility Rule of 987 skills?
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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About BrightChamps in United Arab Emirates
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.
