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105 LearnersLast updated on March 30th, 2025
Divisibility Rule of 430
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 430.
What is the Divisibility Rule of 430?
The divisibility rule for 430 is a method by which we can find out if a number is divisible by 430 or not without using the division method. Check whether 1290 is divisible by 430 with the divisibility rule.
Step 1: Check if the number is divisible by both 2 and 5. Since 1290 ends in 0, it is divisible by both 2 and 5.
Step 2: Check if the number is divisible by 43. To do this, divide the number without the last digit by 43. Here, 129 divided by 43 gives 3 with a remainder of 0.
Step 3: Since 129 is divisible by 43, and the original number is divisible by both 2 and 5, 1290 is divisible by 430.
Tips and Tricks for Divisibility Rule of 430
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 430.
Know the multiples of 43:
Memorize the multiples of 43 (43, 86, 129, 172, etc.) to quickly check divisibility. If the result from the division is a whole number, then the number is divisible by 43.
Use the divisibility rules for 2 and 5:
Ensure the number ends in 0 to confirm divisibility by 2 and 5.
Repeat the process for large numbers:
If the number is large, break it into smaller parts and check each part for divisibility by 43, 2, and 5.
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 430
The divisibility rule of 430 helps us quickly check if a given number is divisible by 430, but common mistakes like calculation errors can 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 by ensuring the number is divisible by 2, 5, and 43.
Divisibility Rule of 430 Examples
Problem 1
Is 860 divisible by 430?
Yes, 860 is divisible by 430.
Explanation
To determine if 860 is divisible by 430, we check if dividing 860 by 430 results in a whole number.
1) Divide 860 by 430: (860 div 430 = 2).
2) Since the result is a whole number, 860 is divisible by 430.
Problem 2
Can 1290 be divided evenly by 430?
Yes, 1290 is divisible by 430.
Explanation
To verify the divisibility of 1290 by 430, perform a division:
1) Divide 1290 by 430: (1290 div 430 = 3).
2) The result is a whole number, indicating that 1290 is divisible by 430.
Problem 3
Is 645 divisible by 430?
No, 645 is not divisible by 430.
Explanation
To check if 645 is divisible by 430, we need to perform the division:
1) Divide 645 by 430: (645 div 430 approx 1.5).
2) The result is not a whole number, so 645 is not divisible by 430.
Problem 4
Check the divisibility rule of 430 for 1720.
Yes, 1720 is divisible by 430.
Explanation
To verify if 1720 is divisible by 430, perform a division:
1) Divide 1720 by 430: (1720 div 430 = 4).
2) Since the result is a whole number, 1720 is divisible by 430.
Problem 5
Is 215 divisible by 430?
No, 215 is not divisible by 430.
Explanation
To determine if 215 is divisible by 430, we divide:
1) Divide 215 by 430: (215 div 430 approx 0.5).
2) The result is not a whole number, so 215 is not divisible by 430.
FAQs on Divisibility Rule of 430
1.What is the divisibility rule for 430?
2.How many numbers are there between 1 and 1000 that are divisible by 430?
3.Is 1290 divisible by 430?
4.What if I get a remainder after dividing by 43?
5.Does the divisibility rule of 430 apply to all integers?
Important Glossaries for Divisibility Rule of 430
- Divisibility Rule: The set of rules used to find out whether a number is divisible by another without direct division.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 43 are 43, 86, 129, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Remainder: The amount left over after division when one number does not divide the other exactly.
- Division: The process of determining how many times one number is contained within another.
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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.
