220 LearnersLast updated on May 26th, 2025
Divisibility Rule of 486
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 486.
What is the Divisibility Rule of 486?
The divisibility rule for 486 is a method by which we can find out if a number is divisible by 486 or not without using the division method. Check whether 972 is divisible by 486 with the divisibility rule.
Step 1: Check if the number is divisible by 2, 3, and 81 (since 486 = 2 × 3^5).
Step 2: The number should be even (divisible by 2).
Step 3: Sum the digits of the number and check if the sum is divisible by 3.
Step 4: Check if the number is divisible by 81 by dividing the last two digits by 81.
As it is shown that 972 meets all the criteria, it is divisible by 486.
Tips and Tricks for Divisibility Rule of 486
Understanding the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 486.
- Know the multiples of 486: Memorize the multiples of 486 (486, 972, 1458, etc.) to quickly check divisibility.
- Check divisibility by 2 and 3: Ensure the number is even and the sum of its digits is divisible by 3.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 486.
- 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 learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 486
The divisibility rule of 486 helps us quickly check if a given number is divisible by 486, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not checking divisibility by all factors.
Ensure the number is divisible by 2, 3, and 81.
Mistake 2
Ignoring the divisibility test for 81.
Students should not skip checking if the last two digits form a number divisible by 81.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have got a large number. The process should be repeated until we get the smallest number that is divisible by 486.
Mistake 4
Incorrect sum of digits.
Always double-check the sum of the digits to ensure it is divisible by 3.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them. To avoid errors, students should practice regularly.
Divisibility Rule of 486 Examples
Problem 1
Is 1458 divisible by 486?
Yes, 1458 is divisible by 486.
Explanation
To determine if 1458 is divisible by 486, we divide the number directly.
1) Divide 1458 by 486, which results in 3.
2) Since the division results in a whole number (1458 ÷ 486 = 3), 1458 is divisible by 486.
Problem 2
Check the divisibility rule of 486 for 2916.
Yes, 2916 is divisible by 486.
Explanation
For checking the divisibility of 2916 by 486,
1) Divide 2916 by 486, which gives you 6.
2) Since the division is exact (2916 ÷ 486 = 6), 2916 is divisible by 486.
Problem 3
Is 972 divisible by 486?
Yes, 972 is divisible by 486.
Explanation
To check if 972 is divisible by 486, perform the division.
1) Divide 972 by 486, resulting in 2.
2) The division is exact (972 ÷ 486 = 2), so 972 is divisible by 486.
Problem 4
Can 1500 be divisible by 486 using the divisibility rule?
No, 1500 is not divisible by 486.
Explanation
To check if 1500 is divisible by 486, divide the numbers.
1) Divide 1500 by 486, which gives approximately 3.0864.
2) Since the result is not a whole number, 1500 is not divisible by 486.
Problem 5
Check the divisibility rule of 486 for 2430.
No, 2430 is not divisible by 486.
Explanation
To check if 2430 is divisible by 486, perform the division.
1) Divide 2430 by 486, resulting in approximately 5.
2) Since the result is not an exact whole number (2430 ÷ 486 ≈ 5.000), 2430 is not divisible by 486.
FAQs on Divisibility Rule of 486
1.What is the divisibility rule for 486?
2.How many numbers are there between 1 and 2000 that are divisible by 486?
3.Is 1458 divisible by 486?
4.What if I get 0 after checking all divisibility rules?
5.Does the divisibility rule of 486 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 486?
7.What are some fun ways kids in United States can practice Divisibility Rule of 486 with numbers?
8.What role do numbers and Divisibility Rule of 486 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 486 skills?
Important Glossaries for Divisibility Rule of 486
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 486 are 486, 972, 1458, etc.
- Factors: Numbers that can be multiplied together to get another number. For example, factors of 486 are 2, 3, and 81.
- Even number: A number that is divisible by 2.
- Sum of digits: The total obtained by adding all the digits of a number. For divisibility by 3, the sum of the digits should be divisible by 3.
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About BrightChamps in United States
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.
