194 LearnersLast updated on May 26th, 2025
Divisibility Rule of 287
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 287.
What is the Divisibility Rule of 287?
The divisibility rule for 287 is a method by which we can determine if a number is divisible by 287 without using the division method. Check whether 5740 is divisible by 287 with the divisibility rule.
Step 1: Multiply the last digit of the number by a specific factor. For 287, the factor is 2. Here, in 5740, 0 is the last digit, multiply it by 2. 0 × 2 = 0.
Step 2: Subtract the result from Step 1 from the remaining digits excluding the last digit. i.e., 574 – 0 = 574.
Step 3: As it is shown that 574 is still a large number, we repeat the process. Multiply the last digit of 574 by 2, which gives 4 × 2 = 8. Subtract this from the remaining digits, 57 – 8 = 49.
Step 4: Since 49 is not divisible by 287, 5740 is not divisible by 287.
Tips and Tricks for Divisibility Rule of 287
Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 287.
Know the multiples of 287:
Memorize the multiples of 287 (287, 574, 861, etc.) to quickly check the divisibility. If the result from subtraction is a multiple of 287, then the number is divisible by 287.
Use the negative numbers:
If the result we get after subtraction is negative, 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. For example: Check if 8610 is divisible by 287 using the divisibility test. Multiply the last digit by 2, i.e., 0 × 2 = 0. Subtract the remaining digits excluding the last digit by 0, 861 – 0 = 861. Since 861 is a known multiple of 287, 8610 is divisible by 287.
Use the division method to verify:
Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 287
The divisibility rule of 287 helps us to quickly check if a given number is divisible by 287, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps of multiplying the last digit with 2 and then subtracting the result from the remaining digits excluding the last digit and checking whether it is a multiple of 287.
Mistake 2
Including the last digit in subtraction.
Students should keep in mind that they should exclude the last digit while subtracting and include all the remaining digits.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have got a large number as a result after subtraction. The process should be repeated until we get the smallest number that is divisible by 287.
Mistake 4
Not considering the negative values.
Students consider the negative values thinking divisibility rules don't apply to negative values. But divisibility rules are applicable for negative values too. So students should consider the negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps
Students often confuse the steps or forget the steps; to avoid the error, students should practice regularly.
Divisibility Rule of 287 Examples
Problem 1
Is 8610 divisible by 287?
Yes, 8610 is divisible by 287.
Explanation
To check if 8610 is divisible by 287, follow these steps:
1) Take the last three digits of the number, which is 610.
2) Subtract this value from the number formed by the remaining digits, 8 - 610 = -602.
3) If -602 is divisible by 287, then 8610 is divisible by 287. Since -602 = -287 × 2 + 28, the result is not divisible by 287.
Problem 2
Check the divisibility rule of 287 for 5740.
No, 5740 is not divisible by 287.
Explanation
Follow the steps to check if 5740 is divisible by 287:
1) Take the last three digits, which is 740.
2) Subtract this from the number formed by the remaining digit, 5 - 740 = -735.
3) Since -735 is not a multiple of 287, 5740 is not divisible by 287.
Problem 3
Is 861 divisible by 287?
Yes, 861 is divisible by 287.
Explanation
To determine if 861 is divisible by 287:
1) Take the last three digits, which is 861 in this case.
2) Since there are no other digits, there's no need to subtract.
3) 861 is 287 multiplied by 3 (287 x 3 = 861), so it is divisible by 287.
Problem 4
Can 1722 be divisible by 287 following the divisibility rule?
No, 1722 isn't divisible by 287.
Explanation
To check the divisibility of 1722 by 287:
1) Take the last three digits, which is 722.
2) Subtract this from the number formed by the remaining digit, 1 - 722 = -721.
3) Since -721 is not a multiple of 287, 1722 is not divisible by 287.
Problem 5
Check the divisibility rule of 287 for 574.
No, 574 is not divisible by 287.
Explanation
To check if 574 is divisible by 287:
1) Take the last three digits, which is 574 in this case.
2) Since there are no other digits, there's no need to subtract.
3) 574 divided by 287 equals 2 with a remainder, so it is not divisible by 287.
FAQs on Divisibility Rule of 287
1.What is the divisibility rule for 287?
2. How many numbers are there between 1 and 1000 that are divisible by 287?
3. Is 861 divisible by 287?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 287 apply to all the integers?
6.How can children in Saudi Arabia use numbers in everyday life to understand Divisibility Rule of 287?
7.What are some fun ways kids in Saudi Arabia can practice Divisibility Rule of 287 with numbers?
8.What role do numbers and Divisibility Rule of 287 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Divisibility Rule of 287 skills?
Important Glossaries for Divisibility Rule of 287
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 2 if the number ends with an even number.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example: multiples of 287 are 287, 574, 861, etc.
- Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
- Verification: The process of confirming the correctness of a result using an alternative method, such as division, to ensure the accuracy of the divisibility test.
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About BrightChamps in Saudi Arabia
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.
