202 LearnersLast updated on May 26th, 2025
Divisibility Rule of 535
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 535.
What is the Divisibility Rule of 535?
The divisibility rule for 535 is a method by which we can find out if a number is divisible by 535 without using the division method. Check whether 1070 is divisible by 535 with the divisibility rule.
Step 1: Divide the number into two parts. Here, 1070 can be split into 10 and 70.
Step 2: Check if both numbers are divisible by 5. Both 10 and 70 are divisible by 5.
Step 3: Check if both numbers are divisible by 107. Neither 10 nor 70 is divisible by 107, so 1070 is not divisible by 535.
Tips and Tricks for Divisibility Rule of 535
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 535.
Know the multiples of 535:
Memorize the multiples of 535 (535, 1070, 1605, 2140, etc.) to quickly check divisibility. If both parts of the split number are divisible by 5 and 107, then the original number is divisible by 535.
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 535
The divisibility rule of 535 helps us to quickly check if the given number is divisible by 535, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps by splitting the number and checking divisibility by 5 and 107.
Mistake 2
Not checking divisibility by both 5 and 107.
Ensure both parts of the number are divisible by 5 and 107.
Mistake 3
Confusing the steps
Students often confuse the steps or forget them. To avoid errors, students should practice regularly.
Divisibility Rule of 535 Examples
Problem 1
Is 2140 divisible by 535?
No, 2140 is not divisible by 535.
Explanation
To check if 2140 is divisible by 535, we can use a straightforward division approach since 535 is a relatively large number. Dividing 2140 by 535 gives approximately 4.00, which is not an integer, indicating that 2140 is not divisible by 535.
Problem 2
Check the divisibility rule of 535 for 1605.
No, 1605 is not divisible by 535.
Explanation
To determine if 1605 is divisible by 535, we perform simple division. Dividing 1605 by 535 results in approximately 3.00, which is not an integer, showing that 1605 is not divisible by 535.
Problem 3
Can -2675 be divisible by 535 following the divisibility rule?
Yes, -2675 is divisible by 535.
Explanation
Even though the number is negative, we can ignore the sign for divisibility checks. Dividing 2675 by 535 gives exactly 5, which is an integer, confirming that -2675 is divisible by 535.
Problem 4
Is 3210 divisible by 535?
No, 3210 is not divisible by 535.
Explanation
To verify if 3210 is divisible by 535, we divide 3210 by 535. The result is approximately 6.00, which is not an integer, indicating that 3210 is not divisible by 535.
Problem 5
Check the divisibility rule of 535 for 10700.
Yes, 10700 is divisible by 535.
Explanation
To check if 10700 is divisible by 535, we perform the division. Dividing 10700 by 535 results in exactly 20, which is an integer, confirming that 10700 is divisible by 535.
FAQs on Divisibility Rule of 535
1.What is the divisibility rule for 535?
2. How many numbers are there between 1 and 10000 that are divisible by 535?
3.Is 1605 divisible by 535?
4. Does the divisibility rule of 535 apply to all integers?
5.How can children in Canada use numbers in everyday life to understand Divisibility Rule of 535?
6.What are some fun ways kids in Canada can practice Divisibility Rule of 535 with numbers?
7.What role do numbers and Divisibility Rule of 535 play in helping children in Canada develop problem-solving skills?
8.How can families in Canada create number-rich environments to improve Divisibility Rule of 535 skills?
Important Glossaries for Divisibility Rule of 535
- Divisibility rule: A set of rules used to find out whether a number is divisible by another number or not.
- Multiples: The results we get after multiplying a number by an integer. For example, multiples of 535 are 535, 1070, 1605, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Division: The process of determining how many times one number is contained within another.
- Parts: The sections a number is divided into when applying divisibility rules, particularly for complex divisibility checks like those for 535.
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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.
