172 LearnersLast updated on May 26th, 2025
Divisibility Rule of 487
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 487.
What is the Divisibility Rule of 487?
The divisibility rule for 487 is a method by which we can find out if a number is divisible by 487 or not without using the division method. Check whether 9734 is divisible by 487 using the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 9734, 4 is the last digit. Multiply it by 2: 4 × 2 = 8.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 973–8 = 965.
Step 3: Since 965 is not a multiple of 487, the number is not divisible by 487. If the result from step 2 were a multiple of 487, then the number would be divisible by 487.
Tips and Tricks for Divisibility Rule of 487
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 487.
- Know the multiples of 487: Memorize the multiples of 487 (487, 974, 1461, 1948…etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 487, then the number is divisible by 487.
- Use negative numbers: If the result we get after the subtraction is negative, we will 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 that is divisible by 487.
For example, check if 1948 is divisible by 487 using the divisibility test. Multiply the last digit by 2, i.e., 8 × 2 = 16.
Subtract the remaining digits excluding the last digit by 16, 194–16 = 178. Since 178 is not a multiple of 487, repeat the process again if necessary.
- Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 487
The divisibility rule of 487 helps us quickly check if the given number is divisible by 487, 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, which are multiplying the last digit by 2 and then subtracting the result from the remaining digits excluding the last digit, and checking whether it is a multiple of 487.
Divisibility Rule of 487 Examples
Problem 1
Is 1461 divisible by 487?
Yes, 1461 is divisible by 487.
Explanation
To determine if 1461 is divisible by 487, use the divisibility rule:
1) Take the last three digits of the number, which are 461.
2) Multiply the hundreds digit by 5, tens digit by 9, and units digit by 3: (4 × 5) + (6 × 9) + (1 × 3) = 20 + 54 + 3 = 77.
3) Since 77 is a multiple of 487 (487 × 0 = 0), 1461 is divisible by 487.
Problem 2
Check the divisibility of 9734 by 487.
No, 9734 is not divisible by 487.
Explanation
Apply the divisibility rule for 487 to 9734:
1) Take the last three digits of the number, which are 734.
2) Multiply the hundreds digit by 5, tens digit by 9, and units digit by 3: (7 × 5) + (3 × 9) + (4 × 3) = 35 + 27 + 12 = 74.
3) Since 74 is not a multiple of 487, 9734 is not divisible by 487.
Problem 3
Is -2435 divisible by 487?
No, -2435 is not divisible by 487.
Explanation
First, consider the positive number 2435:
1) Take the last three digits, which are 435.
2) Multiply the hundreds digit by 5, tens digit by 9, and units digit by 3: (4 × 5) + (3 × 9) + (5 × 3) = 20 + 27 + 15 = 62.
3) Since 62 is not a multiple of 487, -2435 is not divisible by 487.
Problem 4
Can 4870 be divisible by 487 following the divisibility rule?
Yes, 4870 is divisible by 487.
Explanation
Follow the divisibility rule for 487:
1) Take the last three digits, which are 870.
2) Multiply the hundreds digit by 5, tens digit by 9, and units digit by 3: (8 × 5) + (7 × 9) + (0 × 3) = 40 + 63 + 0 = 103.
3) Since 103 is a multiple of 487 (487 × 0 = 0), 4870 is divisible by 487.
Problem 5
Check the divisibility of 1948 by 487.
No, 1948 is not divisible by 487.
Explanation
Using the divisibility rule for 487:
1) Take the last three digits, which are 948.
2) Multiply the hundreds digit by 5, tens digit by 9, and units digit by 3: (9 × 5) + (4 × 9) + (8 × 3) = 45 + 36 + 24 = 105.
3) Since 105 is not a multiple of 487, 1948 is not divisible by 487.
FAQs on Divisibility Rule of 487
1.What is the divisibility rule for 487?
2.How many numbers are there between 1 and 5000 that are divisible by 487?
3.Is 1461 divisible by 487?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 487 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 487?
7.What are some fun ways kids in United States can practice Divisibility Rule of 487 with numbers?
8.What role do numbers and Divisibility Rule of 487 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 487 skills?
Important Glossaries for Divisibility Rule of 487
- Divisibility rule: A 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 digit.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 487 are 487, 974, 1461,...
- Integers: Integers are numbers that include all 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: Verification is the process of confirming the accuracy of a result, often by using an alternate method such as direct division to cross-check the results of a divisibility rule.
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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.
