190 LearnersLast updated on May 26th, 2025
Divisibility Rule of 215
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 215.
What is the Divisibility Rule of 215?
The divisibility rule for 215 is a method by which we can find out if a number is divisible by 215 or not without using the division method. Check whether 64545 is divisible by 215 with the divisibility rule.
Step 1: Check if the number is divisible by 5. A number is divisible by 5 if it ends with a 0 or 5. Here, 64545 ends with 5.
Step 2: Check if the number is divisible by 43. Divide the number by 43. If it is divisible, then go to the next step.
Step 3: If the number is divisible by both 5 and 43, it is divisible by 215. If it is not divisible by either, the number is not divisible by 215.
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Tips and Tricks for Divisibility Rule of 215
Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 215.
Know the multiples of 215:
Memorize the multiples of 215 (215, 430, 645, 860, 1075…etc.) to quickly check divisibility.
Use the division method to verify:
Students can use the division method as a way to verify and crosscheck their results. This will help them verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 215
The divisibility rule of 215 helps us quickly check if the given number is divisible by 215, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you avoid errors.
Mistake 1
Not checking both divisors.
Students should remember to check for divisibility by both 5 and 43.
Mistake 2
Forgetting divisibility by 5.
Always start by checking if the number ends with 0 or 5.
Mistake 3
Confusing the steps.
Students often confuse the steps or forget them. To avoid errors, students should practice regularly.
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Divisibility Rule of 215 Examples
Problem 1
Is a shipment of 645 units divisible by 215?
No, 645 is not divisible by 215.
Explanation
To determine if 645 is divisible by 215, we can check using the divisibility rule. Although there isn't a simple rule like for smaller numbers, we can divide directly.
1) Divide 645 by 215, which equals 3 with a remainder.
2) Since there is a remainder, 645 is not divisible by 215.
Problem 2
A factory produces 860 units of a product. Are these units divisible by 215?
No, 860 is not divisible by 215.
Explanation
To check if 860 is divisible by 215:
1) Divide 860 by 215, which equals 4 with a remainder of 0.
2) Since there is a remainder, 860 is not divisible by 215.
Problem 3
A warehouse has 430 units. Are these units divisible by 215?
Yes, 430 is divisible by 215.
Explanation
To see if 430 is divisible by 215:
1) Divide 430 by 215, which equals 2 with no remainder.
2) Since there is no remainder, 430 is divisible by 215.
Problem 4
Can a batch of 1290 products be evenly divided into groups of 215?
No, 1290 is not divisible by 215.
Explanation
To verify if 1290 is divisible by 215:
1) Divide 1290 by 215, which is approximately 6 with a remainder.
2) Since there is a remainder, 1290 is not divisible by 215.
Problem 5
A delivery truck carries 2150 packages. Is this number divisible by 215?
Yes, 2150 is divisible by 215.
Explanation
To check if 2150 is divisible by 215:
1) Divide 2150 by 215, which equals 10 with no remainder.
2) Since there is no remainder, 2150 is divisible by 215.
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FAQs on Divisibility Rule of 215
1. What is the divisibility rule for 215?
2.How many numbers are there between 1 and 1000 that are divisible by 215?
3. Is 430 divisible by 215?
4.What if I get a remainder when dividing by 43?
5.Does the divisibility rule of 215 apply to all the integers?
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Important Glossaries for Divisibility Rule of 215
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 215 are 215, 430, 645, 860, etc.
- Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
- Reminder: The remaining part of a division operation when one number does not divide the other exactly.
- Factors: Numbers you can multiply together to get another number. For example, 5 and 43 are factors of 215.
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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.
