213 LearnersLast updated on May 26th, 2025
Divisibility Rule of 826
The divisibility rule is a way to determine whether a number is divisible by another number without performing 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 826.
What is the Divisibility Rule of 826?
The divisibility rule for 826 is a method by which we can find out if a number is divisible by 826 or not without using the division method. Check whether 4956 is divisible by 826 with the divisibility rule.
Step 1: Divide the last three digits by 826 and note the remainder, here in 4956, 956 is the last three digits. 956 ÷ 826 gives a remainder of 130.
Step 2: Subtract the remainder from Step 1 from the remaining values but do not include the last three digits. i.e., 4 - 130 = -126.
Step 3: Since -126 is not a multiple of 826, the number is not divisible by 826. If the result from step 2 is a multiple of 826, then the number is divisible by 826.
Tips and Tricks for Divisibility Rule of 826
Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 826.
Know the multiples of 826:
Memorize the multiples of 826 (826, 1652, 2478, 3304, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 826, then the number is divisible by 826.
Use the negative numbers:
If the result we get after the subtraction is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a small number that is divisible by 826. For example: Check if 206952 is divisible by 826 using the divisibility test. Divide the last three digits by 826, i.e., 952 ÷ 826 gives a remainder of 126. Subtract the remaining digits excluding the last three digits by 126, 206 - 126 = 80. Still, 80 is a small number, and since it is not a multiple of 826, 206952 is not divisible by 826.
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 826
The divisibility rule of 826 helps us to quickly check if a given number is divisible by 826, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps: dividing the last three digits by 826, noting the remainder, and then subtracting it from the remaining digits excluding the last three digits.
Mistake 2
Including the last three digits in subtraction.
Students should keep in mind that they should exclude the last three digits while subtracting and include all the remaining digits.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have got a large number after subtraction. The process should be repeated until we get the smallest number that is divisible by 826.
Mistake 4
Not considering the negative values.
Students consider the negative values thinking divisibility rules don't apply to the negative values. But the divisibility rule is applicable for negative values too. So students should consider the negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget the steps. To avoid the error, students should practice regularly.
Divisibility Rule of 826 Examples
Problem 1
Is 2478 divisible by 826?
Yes, 2478 is divisible by 826.
Explanation
To check if 2478 is divisible by 826, we can divide the number directly since 826 is relatively large and does not have a simple divisibility rule like smaller numbers.
1) Divide 2478 by 826, which equals 3.
2) Since the division results in a whole number, 2478 is divisible by 826.
Problem 2
Check the divisibility rule of 826 for 8260.
Yes, 8260 is divisible by 826.
Explanation
We check divisibility by dividing the number by 826.
1) Perform the division: 8260 ÷ 826 = 10.
2) The result is a whole number, so 8260 is divisible by 826.
Problem 3
Is -1652 divisible by 826?
Yes, -1652 is divisible by 826.
Explanation
To check for divisibility with a negative number, we disregard the negative sign and check the positive counterpart.
1) Divide 1652 by 826, which equals 2.
2) The result is a whole number, so -1652 is divisible by 826
Problem 4
Can 4956 be divisible by 826 following the divisibility rule?
No, 4956 isn't divisible by 826.
Explanation
To determine if 4956 is divisible by 826, divide the number by 826.
1) Perform the division: 4956 ÷ 826 = 6 with a remainder.
2) Since the result isn't a whole number, 4956 is not divisible by 826.
Problem 5
Check the divisibility rule of 826 for 16520.
Yes, 16520 is divisible by 826.
Explanation
To check if 16520 is divisible by 826, we divide the number.
1) Divide 16520 by 826, which equals 20.
2) The division results in a whole number, so 16520 is divisible by 826.
FAQs on Divisibility Rule of 826
1.What is the divisibility rule for 826?
2.How many numbers are there between 1 and 10000 that are divisible by 826?
3.Is 4956 divisible by 826?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 826 apply to all the integers?
6.How can children in India use numbers in everyday life to understand Divisibility Rule of 826?
7.What are some fun ways kids in India can practice Divisibility Rule of 826 with numbers?
8.What role do numbers and Divisibility Rule of 826 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Divisibility Rule of 826 skills?
Important Glossaries for Divisibility Rule of 826.
- 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 even numbers.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 826 are 826, 1652, 2478, 3304, etc.
- Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
- Remainder: The remainder is what is left after dividing one number by another.
- Subtraction: Subtraction is a process of finding out the difference between two numbers, by reducing one number from another.
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About BrightChamps in India
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.
