208 LearnersLast updated on May 26th, 2025
Divisibility Rule of 230
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 things. In this topic, we will learn about the divisibility rule of 230.
What is the Divisibility Rule of 230?
The divisibility rule for 230 is a method by which we can find out if a number is divisible by 230 or not without using the division method. Check whether 460 is divisible by 230 with the divisibility rule.
Step 1: Check if the number is divisible by both 10 and 23. For simplicity, first check if it ends in 0, which makes it divisible by 10.
Step 2: Check divisibility by 23. Divide the number (ignoring the last zero) by 23. Here, 46 divided by 23 equals 2, which is an integer.
Step 3: As the number is divisible by both 10 and 23, 460 is divisible by 230.
Tips and Tricks for Divisibility Rule of 230
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 230.
Know the multiples of 230:
Memorize the multiples of 230 (230, 460, 690, etc.) to quickly check divisibility. If the original number is a multiple of 230, then it is divisible by 230.
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 230
The divisibility rule of 230 helps us to quickly check if a given number is divisible by 230, 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 checking divisibility by both 10 and 23.
Students should ensure the number is divisible by both 10 and 23 to confirm divisibility by 230.
Mistake 2
Forgetting to ignore the last zero for the 23 divisibility check.
When checking divisibility by 23, ignore the last zero and check the rest of the digits.
Mistake 3
Confusing the steps.
Students often confuse the steps or forget them. To avoid this error, students should practice regularly.
Divisibility Rule of 230 Examples
Problem 1
Is 1150 divisible by 230?
Yes, 1150 is divisible by 230.
Explanation
To determine if 1150 is divisible by 230, we can check by dividing directly or using logical deduction about components:
1) Recognize that 230 is a factor of 1150 because 1150 divided by 230 equals 5 exactly, without any remainder.
2) Therefore, 1150 is divisible by 230.
Problem 2
Check the divisibility of 460 by 230.
Yes, 460 is divisible by 230.
Explanation
To check if 460 is divisible by 230:
1) Divide 460 by 230.
2) The result is exactly 2, which means 460 is divisible by 230 without any remainder.
Problem 3
Is -690 divisible by 230?
Yes, -690 is divisible by 230.
Explanation
To determine if -690 is divisible by 230:
1) Consider the absolute value, 690.
2) Divide 690 by 230, which results in exactly 3.
3) Since the division results in a whole number, -690 is divisible by 230.
Problem 4
Can 345 be divisible by 230?
No, 345 is not divisible by 230.
Explanation
To check if 345 is divisible by 230:
1) Divide 345 by 230.
2) The result is approximately 1.5, which is not a whole number, indicating that 345 is not divisible by 230.
Problem 5
Check the divisibility of 805 by 230.
No, 805 is not divisible by 230.
Explanation
To determine if 805 is divisible by 230:
1) Divide 805 by 230.
2) The result is approximately 3.5, which is not a whole number, indicating that 805 is not divisible by 230.
FAQs on Divisibility Rule of 230
1. What is the divisibility rule for 230?
2.How many numbers are there between 1 and 1000 that are divisible by 230?
3.Is 920 divisible by 230?
4.What if I get an integer when checking divisibility by 23?
5.Does the divisibility rule of 230 apply to all integers?
6.How can children in United Kingdom use numbers in everyday life to understand Divisibility Rule of 230?
7.What are some fun ways kids in United Kingdom can practice Divisibility Rule of 230 with numbers?
8.What role do numbers and Divisibility Rule of 230 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Divisibility Rule of 230 skills?
Important Glossaries for Divisibility Rule of 230
- 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 10 if it ends with 0.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 230 are 230, 460, 690, etc.
- Integers: Integers are the numbers that include all whole numbers, negative numbers, and zero.
- Division: Division is the process of finding out how many times one number is contained within another.
- Zero: Zero is a number that is neither negative nor positive and is crucial for checking divisibility by 10
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