Table Of Contents
121 LearnersLast updated on February 18th, 2025
Divisibility Rule of 935
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 935.
What is the Divisibility Rule of 935?
The divisibility rule for 935 is a method by which we can find out if a number is divisible by 935 or not without using the division method. Check whether 1870 is divisible by 935 with the divisibility rule.
Step 1: Check if the number is divisible by 5. Since 1870 ends in 0, it is divisible by 5.
Step 2: Next, check if the number is divisible by 11. For 1870, find the alternating sum: 1 - 8 + 7 - 0 = 0. Since 0 is divisible by 11, 1870 is divisible by 11.
Step 3: Finally, check if the number is divisible by 17. Divide 1870 by 17: 1870 ÷ 17 = 110. Since 110 is a whole number, 1870 is divisible by 17.
Since 1870 is divisible by 5, 11, and 17, it is divisible by 935.
Tips and Tricks for Divisibility Rule of 935
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 935.
Know the multiples of 935:
Memorize the multiples of 935 (935, 1870, 2805... etc.) to quickly check divisibility.
Break down the divisibility:
Check divisibility by 5, 11, and 17 separately. If a number is divisible by all three, it is divisible by 935.
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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 935
The divisibility rule of 935 helps us quickly check if a given number is divisible by 935, 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 for checking divisibility by 5, 11, and 17.
Divisibility Rule of 935 Examples
Problem 1
Is 9350 divisible by 935?
Yes, 9350 is divisible by 935.
Explanation
1) Break down 9350 into parts related to 935, which is 9350 = 935 × 10.
2) Since 9350 is 935 multiplied by 10, it is divisible by 935.
Problem 2
Check the divisibility rule of 935 for 1870.
No, 1870 is not divisible by 935.
Explanation
1) Begin by comparing 1870 with 935. Since 1870 is not a direct multiple of 935, we need to check the division.
2) Divide 1870 by 935, which equals approximately 2. This is not an integer, hence 1870 is not divisible by 935.
Problem 3
Is -935 divisible by 935?
Yes, -935 is divisible by 935.
Explanation
1) Remove the negative sign and consider the absolute value, which is 935.
2) Since 935 is clearly divisible by itself, -935 is divisible by 935 as well.
Problem 4
Can 2805 be divisible by 935 following the divisibility rule?
Yes, 2805 is divisible by 935.
Explanation
1) Check if 2805 is a multiple of 935 by division.
2) 2805 divided by 935 equals 3, which is an integer. Thus, 2805 is divisible by 935.
Problem 5
Check the divisibility rule of 935 for 935000.
Yes, 935000 is divisible by 935.
Explanation
1) Recognize that 935000 can be expressed as 935 × 1000.
2) Since 935000 is 935 multiplied by 1000, it's divisible by 935.
FAQs on Divisibility Rule of 935
1.What is the divisibility rule for 935?
2.Is 935 divisible by 935?
3.How do I verify divisibility by 935?
4.What if I get a remainder after division?
5.Does the divisibility rule of 935 apply to all integers?
Important Glossaries for Divisibility Rule of 935
- Divisibility Rule: A set of guidelines to determine if one number can be divided by another without a remainder.
- Multiples: Results from multiplying a number by an integer. For example, multiples of 935 are 935, 1870, 2805, etc.
- Integers: Whole numbers that include positive numbers, negative numbers, and zero.
- Factors: Numbers that can be multiplied together to get another number. For 935, the factors are 5, 11, and 17.
- Remainder: The amount left over after division when one number does not evenly divide another.
Explore More numbers
Previous to Divisibility Rule of 935
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.
