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138 LearnersLast updated on February 17th, 2025
Divisibility Rule of 835
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 835.
What is the Divisibility Rule of 835?
The divisibility rule for 835 is a method by which we can find out if a number is divisible by 835 or not without using the division method. Check whether 3340 is divisible by 835 with the divisibility rule.
Step 1: Check if the number is divisible by 5, 167, and 1. Since 835 = 5 × 167 × 1, a number must be divisible by these factors.
Step 2: For divisibility by 5, the number must end in 0 or 5. Here, 3340 ends in 0, so it is divisible by 5.
Step 3: For divisibility by 167, divide 3340 by 167. Since 3340 ÷ 167 = 20, which is an integer, 3340 is divisible by 167.
Step 4: Since the number is divisible by both 5 and 167, it is divisible by 835.
Tips and Tricks for Divisibility Rule of 835
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 835.
Know the factors of 835:
Memorize the factors of 835 (5, 167) to quickly check divisibility. If a number is divisible by both factors, it is divisible by 835.
Use known divisibility rules:
Utilize the divisibility rules for smaller numbers like 5, which is straightforward, and 167, which involves division.
Repeat the process for large numbers:
Students should check divisibility by 5 first, then 167. For large numbers, ensure both conditions are met.
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 835
The divisibility rule of 835 helps us to quickly check if the given number is divisible by 835, 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 ensuring divisibility by both 5 and 167.
Divisibility Rule of 835 Examples
Problem 1
Is 1670 divisible by 835?
Yes, 1670 is divisible by 835.
Explanation
To check divisibility by 835, we use the following steps:
1) Check if the number can be split into two equal parts that add up to the original number.
2) Divide 1670 by 2 to get 835.
3) Since the result is exactly 835, 1670 is divisible by 835.
Problem 2
Check the divisibility rule of 835 for 2505.
Yes, 2505 is divisible by 835.
Explanation
For checking divisibility by 835 for 2505:
1) Divide 2505 by 835.
2) The quotient is exactly 3, with no remainder.
3) Since the result is an exact division, 2505 is divisible by 835.
Problem 3
Is -5010 divisible by 835?
Yes, -5010 is divisible by 835.
Explanation
To check the divisibility of -5010 by 835:
1) Remove the negative sign and divide 5010 by 835.
2) The quotient is exactly 6, with no remainder.
3) Since the division is exact, -5010 is divisible by 835.
Problem 4
Can 4175 be divisible by 835 following the divisibility rule?
No, 4175 isn't divisible by 835.
Explanation
To check divisibility by 835 for 4175:
1) Divide 4175 by 835.
2) The quotient is approximately 5, with a remainder.
3) Since there is a remainder, 4175 is not divisible by 835.
Problem 5
Check the divisibility rule of 835 for 8350.
Yes, 8350 is divisible by 835.
Explanation
To check divisibility by 835 for 8350:
1) Divide 8350 by 835.
2) The quotient is exactly 10, with no remainder.
3) Since the division is exact, 8350 is divisible by 835.
FAQs on Divisibility Rule of 835
1.What is the divisibility rule for 835?
2. How do I know if a number is divisible by 5?
3. Is 835 divisible by 835?
4.What if I get a non-integer result from division by 167?
5.Does the divisibility rule of 835 apply to all integers?
Important Glossaries for Divisibility Rule of 835
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number without direct division.
- Factors: Numbers that divide another number exactly without leaving a remainder. For example, 5 and 167 are factors of 835.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 835 include 835, 1670, etc.
- Integer: A whole number that can be positive, negative, or zero.
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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.
