145 LearnersLast updated on May 26th, 2025
Divisibility Rule of 235
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 235.
What is the Divisibility Rule of 235?
The divisibility rule for 235 is a method by which we can find out if a number is divisible by 235 or not without using the division method. Check whether 470 is divisible by 235 with the divisibility rule.
Step 1: Check if the number is divisible by 5. In 470, the last digit is 0, which is divisible by 5.
Step 2: Check if the number is divisible by 47. Divide 47 into the number formed by the first two digits, 47. Since 47 is divisible by 47, the entire number is divisible by 47.
Step 3: Since 470 passes both checks for 5 and 47, it is divisible by 235
Tips and Tricks for Divisibility Rule of 235
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 235.
Know the multiples of 235:
Memorize the multiples of 235 (235, 470, 705, 940, etc.) to quickly check divisibility. If the result from the checks is a multiple of 235, then the number is divisible by 235.
Use the properties of divisibility:
If the number is divisible by both 5 and 47, it will also be divisible by 235.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a smaller number to verify if it is divisible by 5 and 47.
For example: Check if 1175 is divisible by 235 using the divisibility test.
Divide 1175 by 5: The last digit is 5, so it is divisible by 5.
Next, check if 235 divides the remaining number: Divide 235 into 1175 and see if the result is whole.
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 235
The divisibility rule of 235 helps us to quickly check if the given number is divisible by 235, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps that involve checking divisibility by both 5 and 47 to ensure divisibility by 235.
Divisibility Rule of 235 Examples
Problem 1
Is 705 divisible by 235?
Yes, 705 is divisible by 235.
Explanation
To check if 705 is divisible by 235, follow these steps:
1) The divisibility rule for 235 requires that the number be checked directly through division.
2) Divide: 705 ÷ 235 = 3.
3) Since the division results in an integer with no remainder, 705 is divisible by 235.
Problem 2
Check the divisibility rule of 235 for 470.
Yes, 470 is divisible by 235.
Explanation
To check divisibility by 235, proceed with direct division:
1) Divide: 470 ÷ 235 = 2.
2) The result is an integer with no remainder, so 470 is divisible by 235.
Problem 3
Is -940 divisible by 235?
Yes, -940 is divisible by 235.
Explanation
To check if -940 is divisible by 235:
1) Ignore the negative sign and divide: 940 ÷ 235 = 4.
2) As the result is an integer with no remainder, -940 is divisible by 235.
Problem 4
Can 1000 be divisible by 235 following the divisibility rule?
No, 1000 isn't divisible by 235.
Explanation
Check the divisibility of 1000 by 235:
1) Divide: 1000 ÷ 235 ≈ 4.255.
2) The result is not an integer, indicating a remainder. Therefore, 1000 is not divisible by 235.
Problem 5
Check the divisibility rule of 235 for 1410.
Yes, 1410 is divisible by 235.
Explanation
To check the divisibility of 1410 by 235:
1) Perform the division: 1410 ÷ 235 = 6.
2) The result is an integer with no remainder, implying that 1410 is divisible by 235.
FAQs on Divisibility Rule of 235
1. What is the divisibility rule for 235?
2.How many numbers are there between 1 and 1000 that are divisible by 235?
3. Is 705 divisible by 235?
4.What if I get 0 after division?
5.Does the divisibility rule of 235 apply to all the integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 235?
7.What are some fun ways kids in United States can practice Divisibility Rule of 235 with numbers?
8.What role do numbers and Divisibility Rule of 235 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 235 skills?
Important Glossaries for Divisibility Rule of 235
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiple: The product of a number and an integer. For example, multiples of 235 are 235, 470, 705, etc.
- Integer: Numbers that include all whole numbers, negative numbers, and zero.
- Division: The process of dividing one number by another to find the quotient.
- Remainder: The amount left over after division when one number does not divide the other exactly.
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About BrightChamps in United States
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.
