187 LearnersLast updated on May 26th, 2025
Divisibility Rule of 860
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 860.
What is the Divisibility Rule of 860?
The divisibility rule for 860 is a method by which we can find out if a number is divisible by 860 or not without using the division method. Check whether 3440 is divisible by 860 with the divisibility rule.
Step 1: Check if the number ends in a zero. Here, 3440 ends in a zero, so we move to the next step.
Step 2: Divide the remaining number (ignoring the last zero) by 86. Here, we divide 344 by 86. 344 ÷ 86 = 4.
Step 3: Since 344 is divisible by 86, the original number 3440 is divisible by 860. If the result from step 2 isn't an integer, then the number isn't divisible by 860.
Tips and Tricks for Divisibility Rule of 860
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 860.
Know the multiples of 86:
Memorize the multiples of 86 (86, 172, 258, 344…etc.) to quickly check the divisibility. If the result from the division is an integer, then the number is divisible by 860.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a small number that is divisible by 86. For example, check if 8600 is divisible by 860 using the divisibility test. 8600 ends in a zero, so we divide 860 by 86, resulting in 10. Since 10 is an integer, 8600 is divisible by 860.
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 860
The divisibility rule of 860 helps us quickly check if the given number is divisible by 860, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you comprehend them.
Mistake 1
Not checking the last digit.
Students should ensure the number ends in a zero before proceeding with the division.
Mistake 2
Not dividing by 86 after removing the zero.
Students should remember to divide the remaining number by 86 after ignoring the last zero.
Mistake 3
Not repeating the process when the number is large.
Students often stop the process after they have a large result. The process should be repeated until a small number that is divisible by 86 is found.
Mistake 4
Forgetting to use the division method for verification.
Always use the division method to ensure correctness and understand how the divisibility rule works.
Mistake 5
Confusing the steps.
Students often confuse or forget the steps. To avoid errors, students should practice regularly.
Divisibility Rule of 860 Examples
Problem 1
Is 1720 divisible by 860?
Yes, 1720 is divisible by 860.
Explanation
Since 1720 is a larger number, let's check it with the divisibility rule for 860.
1) Check if the number is divisible by both 10 and 86.
2) The number ends in 0, so it's divisible by 10.
3) Check divisibility by 86: Divide 172 by 86, which equals 2 exactly.
Therefore, 1720 is divisible by 860.
Problem 2
Check the divisibility rule of 860 for 3440.
Yes, 3440 is divisible by 860.
Explanation
To check the divisibility rule of 860 for 3440:
1) Confirm if the number is divisible by both 10 and 86.
2) The number ends in 0, making it divisible by 10.
3) Divide 344 by 86, which results in 4 exactly.
Hence, 3440 is divisible by 860.
Problem 3
Is -2580 divisible by 860?
Yes, -2580 is divisible by 860.
Explanation
To check if -2580 is divisible by 860:
1) Remove the negative sign and check divisibility for 2580.
2) Verify divisibility by 10 (ends in 0) and by 86.
3) Divide 258 by 86, resulting in exactly 3.
Thus, -2580 is divisible by 860.
Problem 4
Can 1080 be divisible by 860 following the divisibility rule?
No, 1080 isn't divisible by 860.
Explanation
To check if 1080 is divisible by 860:
1) Confirm divisibility by 10 (it is, as it ends in 0).
2) Check divisibility by 86: Divide 108 by 86, which is not an integer.
Therefore, 1080 is not divisible by 860.
Problem 5
Check the divisibility rule of 860 for 6020.
Yes, 6020 is divisible by 860.
Explanation
To verify the divisibility rule of 860 for 6020:
1) Ensure the number is divisible by both 10 and 86.
2) The number ends in 0, confirming divisibility by 10.
3) Divide 602 by 86, resulting in exactly 7.
Thus, 6020 is divisible by 860.
FAQs on Divisibility Rule of 860
1.What is the divisibility rule for 860?
2.How many numbers are there between 1 and 10,000 that are divisible by 860?
3.Is 2580 divisible by 860?
4.What if I get a fraction after dividing?
5.Does the divisibility rule of 860 apply to all integers?
6.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 860?
7.What are some fun ways kids in Australia can practice Divisibility Rule of 860 with numbers?
8.What role do numbers and Divisibility Rule of 860 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Divisibility Rule of 860 skills?
Important Glossaries for Divisibility Rule of 860
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 2 if it ends with an even number.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 86 are 86, 172, 258, 344...
- Integer: An integer is a number that includes all whole numbers, negative numbers, and zero.
- Division: Division is a mathematical operation where a number is divided into equal parts.
- Verification: Verification is the process of checking or confirming the correctness of a result or calculation.
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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.
