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126 LearnersLast updated on February 17th, 2025
Divisibility Rule of 843
The divisibility rule is a way to determine whether a number is divisible by another number without directly performing division. In real life, we can use divisibility rules for quick calculations, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 843.
What is the Divisibility Rule of 843?
The divisibility rule for 843 is a method by which we can find out if a number is divisible by 843 without using the division method. Check whether 1686 is divisible by 843 using the divisibility rule.
Step 1: Check if the number is divisible by 3, 281, and 1, all factors of 843.
Step 2: For divisibility by 3, sum the digits of the number. If the sum is divisible by 3, then the number is also divisible by 3. For 1686, the digits are 1, 6, 8, and 6. Added together, 1+6+8+6=21, which is divisible by 3.
Step 3: For divisibility by 281, the number must follow the divisibility rule of 281. This involves specific checks or using the division method.
If a number passes both divisibility checks for 3 and 281, it is divisible by 843. If not, it isn't divisible by 843.
Tips and Tricks for Divisibility Rule of 843
Learning the divisibility rule can help students master division. Let’s learn a few tips and tricks for the divisibility rule of 843.
1. Know the factors:
Understand that 843 is a product of 3 and 281. A number divisible by 843 must be divisible by both of these factors.
2. Memorize smaller rules:
It is easier to first apply divisibility rules for smaller numbers like 3. Learn and apply these rules first to quickly assess divisibility.
3. Repeat the process for large numbers:
For large numbers, repeat the divisibility checks for both 3 and 281 to ensure accuracy.
4. 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 843
The divisibility rule of 843 helps us quickly check if a given number is divisible by 843, 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 checking all factors.
Ensure you check divisibility for all factors of 843, which include 3 and 281.
Divisibility Rule of 843 Examples
Problem 1
Is 3372 divisible by 843?
No, 3372 is not divisible by 843.
Explanation
To determine if 3372 is divisible by 843, we apply a specific method.
1) Take the last three digits, which are 372.
2) Multiply the last digit (2) by 3, which gives 6.
3) Add this result to the remaining two digits (37), so 37 + 6 = 43.
4) Check if 43 is a multiple of 843. It is not, so 3372 is not divisible by 843.
Problem 2
Check the divisibility rule of 843 for 84297.
Yes, 84297 is divisible by 843.
Explanation
To check if 84297 is divisible by 843, follow these steps:
1) Take the last three digits, which are 297.
2) Multiply the last digit (7) by 3, resulting in 21.
3) Add this to the remaining two digits (29), so 29 + 21 = 50.
4) Check if 50 is a multiple of 843. Since previously calculated values are multiples of 843, 84297 is divisible by 843.
Problem 3
Is -1686 divisible by 843?
Yes, -1686 is divisible by 843.
Explanation
To check if -1686 is divisible by 843, first ignore the negative sign.
1) Take the last three digits, which are 686.
2) Multiply the last digit (6) by 3, which gives 18.
3) Add this to the remaining two digits (68), resulting in 68 + 18 = 86.
4) Check if 86 is a multiple of 843. Upon further calculation, the original number is divisible by 843.
Problem 4
Can 241 be divisible by 843 using the divisibility rule?
No, 241 is not divisible by 843.
Explanation
To test if 241 is divisible by 843 using the rule:
1) Since 241 has fewer than three digits, we consider it as a whole.
2) Since 241 is less than 843, it cannot be divisible by 843.
Problem 5
Check the divisibility rule of 843 for 8430.
Yes, 8430 is divisible by 843.
Explanation
To check if 8430 is divisible by 843:
1) Take the last three digits, which are 430.
2) Multiply the last digit (0) by 3, resulting in 0.
3) Add this to the remaining digits (43), so 43 + 0 = 43.
4) Check if 43 is a multiple of 843. The previous configurations confirm that 8430 is divisible by 843.
FAQs on Divisibility Rule of 843
1. What is the divisibility rule for 843?
2.How many numbers are there between 1 and 2000 that are divisible by 843?
3.Is 843 divisible by 843?
4.What if I get 0 after subtraction when verifying?
5.Does the divisibility rule of 843 apply to all integers?
Important Glossaries for Divisibility Rule of 843
- Divisibility rule: A set of guidelines used to determine whether a number can be divided by another without a remainder.
- Factors: Numbers that can be multiplied together to produce another number, such as 3 and 281 for 843.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 843 include 843, 1686, etc.
- Integers: Numbers that include all whole numbers, their negatives, and zero.
- Verification: The process of confirming whether a calculation or result is correct, often by using an alternative method.
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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.
