158 LearnersLast updated on May 26th, 2025
Divisibility Rule of 839
The divisibility rule is a way to determine 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 items. In this topic, we will learn about the divisibility rule of 839.
What is the Divisibility Rule of 839?
The divisibility rule for 839 is a method by which we can find out if a number is divisible by 839 without using the division method. Check whether 6712 is divisible by 839 using the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 6712, 2 is the last digit, so multiply it by 2. 2 × 2 = 4
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit, i.e., 671-4 = 667.
Step 3: As it is shown that 667 is not a multiple of 839, the number is not divisible by 839. If the result from Step 2 is a multiple of 839, then the number is divisible by 839.
Tips and Tricks for Divisibility Rule of 839
Learning the divisibility rule helps kids master division. Let’s learn a few tips and tricks for the divisibility rule of 839.
Know the multiples of 839:
Memorize the multiples of 839 (839, 1678, 2517, 3356…etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 839, then the number is divisible by 839.
Use absolute values:
If the result we get after the subtraction is negative, we will consider its absolute value 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 839.
For example: Check if 1678 is divisible by 839 using the divisibility test.
Multiply the last digit by 2, i.e., 8 × 2 = 16
Subtract the remaining digits excluding the last digit by 16, 167-16 = 151
As 151 is not a multiple of 839, 1678 is not divisible by 839.
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 839
The divisibility rule of 839 helps us to quickly check if the given number is divisible by 839, but common mistakes like calculation errors lead to incorrect calculations. 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 that involve multiplying the last digit by 2 and then subtracting the result from the remaining digits excluding the last digit, checking whether it is a multiple of 839.
Mistake 2
Including the last digit in subtraction.
Students should keep in mind that they should exclude the last digit 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 as a result after subtraction. The process should be repeated until we get the smallest number that is divisible by 839.
Mistake 4
Not considering the absolute values.
Students might overlook negative results, thinking divisibility rules don't apply. However, the divisibility rule is applicable for negative results as well. Students should consider the absolute value while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse or forget the steps. To avoid errors, students should practice regularly.
Divisibility Rule of 839 Examples
Problem 1
Is 6712 divisible by 839?
No, 6712 is not divisible by 839.
Explanation
To determine if 6712 is divisible by 839, we apply the divisibility rule for 839:
1) Multiply the last digit of the number by 167 (since 167 is a part of the divisibility process for 839), 2 × 167 = 334.
2) Subtract the result from the remaining digits excluding the last digit, 671 - 334 = 337.
3) Check if 337 is a multiple of 839. It is not, so 6712 is not divisible by 839.
Problem 2
Check the divisibility rule of 839 for 1678.
Yes, 1678 is divisible by 839.
Explanation
For checking the divisibility rule of 839 for 1678:
1) Multiply the last digit of the number by 167, 8 × 167 = 1336.
2) Subtract the result from the remaining digits, excluding the last digit, 167 - 1336 = -1169.
3) Check if -1169 is a multiple of 839. By adding 839, we get -1169 + 839 = -330, and adding 839 again gives 509, which is not divisible by 839. Therefore, the initial step was incorrect, and upon recalculation, 1678 is indeed not divisible by 839.
Problem 3
Is -2517 divisible by 839?
Yes, -2517 is divisible by 839.
Explanation
To check if -2517 is divisible by 839:
1) Remove the negative sign and use the divisibility rule.
2) Multiply the last digit of the number by 167, 7 × 167 = 1169.
3) Subtract the result from the remaining digits excluding the last digit, 251 - 1169 = -918.
4) Check if -918 is a multiple of 839. Upon further calculation, it turns out that the initial step was incorrect. Therefore, -2517 is not divisible by 839.
Problem 4
Can 5034 be divisible by 839 following the divisibility rule?
No, 5034 isn't divisible by 839.
Explanation
To check if 5034 is divisible by 839 by applying the rule:
1) Multiply the last digit of the number by 167, 4 × 167 = 668.
2) Subtract the result from the remaining digits excluding the last digit, 503 - 668 = -165.
3) Check if -165 is a multiple of 839. It is not, so 5034 is not divisible by 839.
Problem 5
Check the divisibility rule of 839 for 8390.
Yes, 8390 is divisible by 839.
Explanation
To check the divisibility rule of 839 for 8390:
1) Multiply the last digit of the number by 167, 0 × 167 = 0.
2) Subtract the result from the remaining digits, excluding the last digit, 839 - 0 = 839.
3) Check if 839 is a multiple of 839. Yes, 839 is 839 × 1, so 8390 is divisible by 839.
FAQs on Divisibility Rule of 839
1. What is the divisibility rule for 839?
2.How many numbers are there between 1 and 5000 that are divisible by 839?
3. Is 2517 divisible by 839?
4. What if I get 0 after subtracting?
5.Does the divisibility rule of 839 apply to all integers?
6.How can children in Qatar use numbers in everyday life to understand Divisibility Rule of 839?
7.What are some fun ways kids in Qatar can practice Divisibility Rule of 839 with numbers?
8.What role do numbers and Divisibility Rule of 839 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Divisibility Rule of 839 skills?
Important Glossaries for Divisibility Rule of 839
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example: multiples of 839 are 839, 1678, 2517, 3356, etc.
- Absolute value: The non-negative value of a number without regard to its sign. Used when considering negative results in calculations.
- Subtraction: Subtraction is a process of finding out the difference between two numbers, by reducing one number from another.
- Integer: An integer is a whole number that can be positive, negative, or zero.
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About BrightChamps in Qatar
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.
