196 LearnersLast updated on May 26th, 2025
Divisibility Rule of 355
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 355.
What is the Divisibility Rule of 355?
The divisibility rule for 355 is a method by which we can find out if a number is divisible by 355 or not without using the division method. Check whether 710 is divisible by 355 with the divisibility rule.
Step 1: Divide the number into groups of three digits from right to left. Here, 710 only has one group: 710.
Step 2: Check if each group is divisible by 355. In this case, 710 ÷ 355 = 2, which is a whole number.
Step 3: Since 710 is divisible by 355, the number is divisible by 355. If the result is not a whole number, then the number isn't divisible by 355.
Tips and Tricks for Divisibility Rule of 355
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 355.
Know the multiples of 355:
Memorize the multiples of 355 (355, 710, 1065…etc.) to quickly check divisibility. If the result from division is a whole number, then the number is divisible by 355.
Use estimation:
If the number is large, estimate whether it seems close to a multiple of 355 before checking exact divisibility.
Repeat the process for larger numbers:
Students should keep repeating the divisibility process with larger numbers by breaking them into three-digit groups.
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 to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 355
The divisibility rule of 355 helps us quickly check if a given number is divisible by 355, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not dividing the number into correct groups.
Ensure that the number is divided into groups of three digits each from right to left.
Mistake 2
Miscalculating during division.
Double-check your division to ensure there are no arithmetic errors.
Mistake 3
Not using estimation for large numbers.
Use estimation to see if the number seems close to a multiple of 355 before exact calculations
Mistake 4
Confusing the groups.
Make sure to correctly identify and divide the number into groups.
Mistake 5
Forgetting to verify.
Always verify your result using the division method to ensure correctness.
Divisibility Rule of 355 Examples
Problem 1
Is the book collection of 710 volumes evenly divisible among 355 library shelves?
Yes, 710 is divisible by 355.
Explanation
To determine if 710 volumes can be evenly distributed across 355 shelves:
1) Divide 710 by 355, which results in exactly 2.
2) Since the division yields an integer, 710 is divisible by 355 without any remainder.
Problem 2
Can a shipment of 1420 packages be divided into groups of 355 without leftovers?
Yes, 1420 is divisible by 355.
Explanation
To check if 1420 packages can be grouped into sets of 355:
1) Divide 1420 by 355, which results in exactly 4.
2) The result is a whole number, indicating that 1420 is divisible by 355 with no remainder.
Problem 3
A farmer has 1775 apples and wants to pack them into crates, each holding 355 apples. Will there be any apples left over?
No, 1775 is divisible by 355.
Explanation
To find out if 1775 apples can be packed without remainder:
1) Divide 1775 by 355, which results in exactly 5.
2) Since the division is exact, all apples can be packed with none left over.
Problem 4
Is the number 1065 divisible by 355 if divided equally among three friends?
No, 1065 is not divisible by 355.
Explanation
To determine if 1065 can be divided by 355 equally:
1) Divide 1065 by 355, which results in approximately 3.
2) The division is not exact, indicating that 1065 is not divisible by 355 without a remainder.
Problem 5
A concert hall seating arrangement requires arranging 2130 chairs into sections of 355. Can this be done without any chairs left over?
Yes, 2130 is divisible by 355.
Explanation
To verify if 2130 chairs can be arranged into sections of 355:
1) Divide 2130 by 355, which results in exactly 6.
2) The result is an integer, confirming that 2130 is divisible by 355 with no chairs left over.
FAQs on Divisibility Rule of 355
1.What is the divisibility rule for 355?
2.How many numbers are there between 1 and 1000 that are divisible by 355?
3.Is 1065 divisible by 355?
4.What if I get 0 as a remainder after division?
5.Does the divisibility rule of 355 apply to all integers?
6.How can children in Canada use numbers in everyday life to understand Divisibility Rule of 355?
7.What are some fun ways kids in Canada can practice Divisibility Rule of 355 with numbers?
8.What role do numbers and Divisibility Rule of 355 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Divisibility Rule of 355 skills?
Important Glossaries for Divisibility Rule of 355
- Divisibility Rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: The results obtained after multiplying a number by an integer. For example, multiples of 355 are 355, 710, 1065, etc.
- Integer: Numbers that include all whole numbers, negative numbers, and zero.
- Estimation: A method of making an educated guess about the value or size of something, often used to simplify calculations.
- Remainder: The amount left over after division when one number does not divide the other exactly.
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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.
