199 LearnersLast updated on May 26th, 2025
Divisibility Rule of 258
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 258.
What is the Divisibility Rule of 258?
The divisibility rule for 258 is a method by which we can find out if a number is divisible by 258 or not without using the division method. Check whether 516 is divisible by 258 with the divisibility rule.
Step 1: Divide the number by 2, since 258 is an even number, and check if the result is an integer.
Step 2: Divide the resulting quotient by 3 (since the sum of the digits of 258 is 15, which is divisible by 3).
Step 3: Divide the resulting quotient by 43 (since 258 divided by 6 equals 43).
Step 4: If all these divisions result in integers, the original number is divisible by 258.
For example, let's check if 516 is divisible by 258.
- 516 divided by 2 equals 258.
- 258 divided by 3 equals 86.
- 86 divided by 43 equals 2.
Since all divisions resulted in integers, 516 is divisible by 258.
Tips and Tricks for Divisibility Rule of 258
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 258.
- Know the factors of 258: Memorize the prime factors of 258, which are 2, 3, and 43, to quickly check divisibility.
- Use sequential division: Divide the number by 2, then 3, and then 43, ensuring each division results in an integer.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 258.
- 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 258
The divisibility rule of 258 helps us to quickly check if the given number is divisible by 258, 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 sequence.
Students should follow the correct sequence of dividing by 2, then 3, and finally by 43.
Mistake 2
Forgetting to divide by all factors.
Remember to divide by all prime factors of 258 to ensure divisibility.
Mistake 3
Incorrect division leading to floating-point results.
Ensure each division results in a whole number before proceeding to the next.
Mistake 4
Confusing the steps.
Students often confuse the steps or forget the steps; to avoid the error, students should practice regularly.
Mistake 5
Nil
Nil
Divisibility Rule of 258 Examples
Problem 1
Is 1548 divisible by 258?
No, 1548 is not divisible by 258.
Explanation
To determine if 1548 is divisible by 258, follow these steps:
1) Divide 1548 by 258, which results in approximately 6. This is not a whole number.
2) As the result is not a whole number, 1548 is not divisible by 258.
Problem 2
Check the divisibility rule of 258 for 3870.
No, 3870 is not divisible by 258.
Explanation
For checking the divisibility of 3870 by 258, follow these steps:
1) Divide 3870 by 258, which results in approximately 15.
2) Since this is not a whole number, 3870 is not divisible by 258.
Problem 3
Is 516 divisible by 258?
Yes, 516 is divisible by 258.
Explanation
To check the divisibility of 516 by 258:
1) Divide 516 by 258, which results in exactly 2.
2) Since the result is a whole number, 516 is divisible by 258.
Problem 4
Can 774 be divisible by 258 following the divisibility rule?
Yes, 774 is divisible by 258.
Explanation
To determine if 774 is divisible by 258:
1) Divide 774 by 258, which results in exactly 3.
2) As this is a whole number, 774 is divisible by 258.
Problem 5
Check the divisibility rule of 258 for 1032.
Yes, 1032 is divisible by 258.
Explanation
To verify if 1032 is divisible by 258:
1) Divide 1032 by 258, which results in exactly 4.
2) Since the division yields a whole number, 1032 is divisible by 258.
FAQs on Divisibility Rule of 258
1.What is the divisibility rule for 258?
2.Can you give an example of a number divisible by 258?
3.Is 774 divisible by 258?
4.What if I get a non-integer result?
5.Does the divisibility rule of 258 apply to all integers?
6.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 258?
7.What are some fun ways kids in Australia can practice Divisibility Rule of 258 with numbers?
8.What role do numbers and Divisibility Rule of 258 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Divisibility Rule of 258 skills?
Important Glossaries for Divisibility Rule of 258
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Prime factors: The prime numbers that multiply together to equal a given number. For 258, they are 2, 3, and 43.
- Quotient: The result obtained by dividing one number by another.
- Integer: A whole number that can be positive, negative, or zero.
- Division: The process of determining how many times one number is contained within another.
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About BrightChamps in Australia
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.
