200 LearnersLast updated on May 26th, 2025
Divisibility Rule of 862
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 862.
What is the Divisibility Rule of 862?
The divisibility rule for 862 is a method by which we can find out if a number is divisible by 862 without using the division method. Check whether 2586 is divisible by 862 with the divisibility rule.
Step 1: Divide the number into three parts from the right, each containing three digits if possible (or use 0s to fill missing places), here in 2586, it becomes 002, 586.
Step 2: Add the first two parts, 002+586 = 588.
Step 3: Subtract the third part from the result in Step 2, 588-0 = 588.
Step 4: As it is shown that 588 is not a multiple of 862, the number is not divisible by 862. If the result from step 3 is a multiple of 862, then the number is divisible by 862.
Tips and Tricks for Divisibility Rule of 862
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 862.
Know the multiples of 862:
Memorize the multiples of 862 (862, 1724, 2586...etc.) to quickly check the divisibility. If the result from the process is a multiple of 862, then the number is divisible by 862.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a small number that is divisible by 862. For example: Check if 1724 is divisible by 862 using the divisibility test. Divide the number into three parts: 001, 724. Add the first two parts: 001+724 = 725. Subtract the third part: 725-0 = 725, which is still not a multiple of 862. Thus, 1724 is not divisible by 862.
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 862
The divisibility rule of 862 helps us to quickly check if the given number is divisible by 862, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps that involve dividing the number into parts and performing the addition and subtraction as outlined.
Mistake 2
Not repeating the process when necessary.
Students often stop the process after they have a result without confirming if it's a multiple of 862. The process should be repeated or verified until we get a result that is a multiple of 862.
Mistake 3
Ignoring leading zeros.
Students should include leading zeros when dividing the number into parts to ensure accurate calculations.
Mistake 4
Confusing the steps.
Students often confuse the steps or forget the steps. To avoid this error, students should practice regularly.
Mistake 5
Overlooking the use of the division method.
Use the division method to verify results and ensure accuracy.
Divisibility Rule of 862 Examples
Problem 1
Is 1724 divisible by 862?
Yes, 1724 is divisible by 862.
Explanation
To check if 1724 is divisible by 862:
1) Double the last three digits (724), which gives us 1448.
2) Subtract this result from the number formed by the leading digit (1): 1 - 1448 = -1447.
3) The result, -1447, is not zero, but when we divide 1724 by 862, we get a whole number (2). Therefore, 1724 is divisible by 862.
Problem 2
Check if 2586 is divisible by 862.
No, 2586 is not divisible by 862.
Explanation
To check the divisibility of 2586 by 862:
1) Double the last three digits (586), resulting in 1172.
2) Subtract this from the number formed by the leading digit (2): 2 - 1172 = -1170.
3) Since -1170 is not zero and does not produce a whole number when divided by 862, 2586 is not divisible by 862.
Problem 3
Is 3448 divisible by 862?
Yes, 3448 is divisible by 862.
Explanation
To determine if 3448 is divisible by 862:
1) Double the last three digits (448), which results in 896.
2) Subtract this from the number formed by the leading digit (3): 3 - 896 = -893.
3) Since dividing 3448 by 862 gives a whole number (4), 3448 is divisible by 862.
Problem 4
Can 947 be divisible by 862 following the divisibility rule?
No, 947 is not divisible by 862.
Explanation
To see if 947 is divisible by 862:
1) Since 947 has fewer than four digits, consider it as a whole.
2) Double the last three digits (947), giving 1894.
3) Subtract this from zero (since there are no leading digits): 0 - 1894 = -1894.
4) Since dividing 947 by 862 does not give a whole number, 947 is not divisible by 862.
Problem 5
Check the divisibility rule of 862 for 6908.
Yes, 6908 is divisible by 862.
Explanation
To check if 6908 is divisible by 862:
1) Double the last three digits (908), resulting in 1816.
2) Subtract this from the number formed by the leading digit (6): 6 - 1816 = -1810.
3) Since dividing 6908 by 862 results in a whole number (8), 6908 is divisible by 862.
FAQs on Divisibility Rule of 862
1.What is the divisibility rule for 862?
2.How many numbers are there between 1 and 10000 that are divisible by 862?
3.Is 2586 divisible by 862?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 862 apply to all the integers?
6.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 862?
7.What are some fun ways kids in Australia can practice Divisibility Rule of 862 with numbers?
8.What role do numbers and Divisibility Rule of 862 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 862 skills?
Important Glossaries for Divisibility Rule of 862
- 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 the number ends with an even digit.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 862 are 862, 1724, 2586, etc.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Addition: Addition is the process of finding the total or sum by combining two or more numbers.
- Subtraction: Subtraction is the process of finding out the difference between two numbers by reducing one number from another.
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