187 LearnersLast updated on May 26th, 2025
Divisibility Rule of 279
The divisibility rule is a way to determine whether a number is divisible by another number without performing division. 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 279.
What is the Divisibility Rule of 279?
The divisibility rule for 279 is a method by which we can determine if a number is divisible by 279 without performing division. Let's check whether 83769 is divisible by 279 using this rule.
Step 1: Divide the number into groups of three digits from the right. In 83769, we have 069 and 083.
Step 2: Sum these groups: 69 + 83 = 152.
Step 3: If the result is a multiple of 279, then the number is divisible by 279. Since 152 is not a multiple of 279, 83769 is not divisible by 279.
Tips and Tricks for the Divisibility Rule of 279
Learning the divisibility rule helps students master division. Here are a few tips and tricks for the divisibility rule of 279.
- Know the multiples of 279: Memorize the multiples of 279 (279, 558, 837, etc.) to quickly check divisibility. If the sum from step 2 is a multiple of 279, then the number is divisible by 279.
- Use the negative values: If the sum after adding the groups is negative, consider it as positive for checking divisibility.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 279. For example, check if 756837 is divisible by 279 using the divisibility test. Divide into groups: 837 and 756. Sum these groups: 837 + 756 = 1593. Since 1593 is still large, repeat the process: 593 + 1 = 594. Since 594 is not a multiple of 279, 756837 is not divisible by 279.
- Use the division method to verify: Students can use the division method to verify and cross-check their results, which will help them confirm and learn.
Common Mistakes and How to Avoid Them in the Divisibility Rule of 279
The divisibility rule of 279 helps us quickly check if a given number is divisible by 279, but common mistakes, like calculation errors, can lead to incorrect results. Here, we will understand some common mistakes that will help you avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps: divide the number into groups of three digits, sum them, and check if the result is a multiple of 279.
Mistake 2
Incorrect grouping.
Ensure you group the digits correctly from the right in groups of three.
Mistake 3
Not repeating the process when the result 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 279 is reached.
Mistake 4
Not considering negative values.
Students should consider the negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse or forget the steps. To avoid this error, students should practice regularly.
Divisibility Rule of 279 Examples
Problem 1
Is 837 divisible by 279?
Yes, 837 is divisible by 279.
Explanation
To check for divisibility by 279, follow these steps:
1) Take the last digit, multiply it by 9: 7 × 9 = 63.
2) Add this result to the rest of the number: 83 + 63 = 146.
3) Repeat the process for 146: 6 × 9 = 54, 14 + 54 = 68.
4) 68 is not divisible by 279. However, since the original sum resulted in a multiple of 279, 837 is divisible by 279.
Problem 2
Check the divisibility rule of 279 for 558.
Yes, 558 is divisible by 279.
Explanation
Applying the divisibility rule for 279:
1) Multiply the last digit by 9: 8 × 9 = 72.
2) Add this result to the remaining digits: 55 + 72 = 127.
3) Since 127 is divisible by 279, 558 is also divisible by 279.
Problem 3
Is 2016 divisible by 279?
No, 2016 is not divisible by 279.
Explanation
To determine divisibility by 279:
1) Multiply the last digit by 9: 6 × 9 = 54.
2) Add this result to the rest of the number: 201 + 54 = 255.
3) Since 255 is not divisible by 279, 2016 is not divisible by 279.
Problem 4
Can 1395 be divisible by 279?
Yes, 1395 is divisible by 279.
Explanation
Checking divisibility by 279:
1) Multiply the last digit by 9: 5 × 9 = 45.
2) Add this result to the remaining digits: 139 + 45 = 184.
3) Since 184 is divisible by 279, 1395 is divisible by 279.
Problem 5
Check the divisibility rule of 279 for 5580.
Yes, 5580 is divisible by 279.
Explanation
To verify divisibility by 279:
1) Multiply the last digit by 9: 0 × 9 = 0.
2) Add this result to the rest of the number: 558 + 0 = 558.
3) Further check 558: 8 × 9 = 72, 55 + 72 = 127.
4) Since 127 is not divisible by 279, the original number 5580 is divisible by 279 because it ultimately resulted in 558, which is a multiple of 279.
FAQs on Divisibility Rule of 279
1.What is the divisibility rule for 279?
2.How many numbers between 1 and 1000 are divisible by 279?
3.Is 279 divisible by 279?
4.What if I get 0 after summing the groups?
5.Does the divisibility rule of 279 apply to all integers?
6.How can children in Saudi Arabia use numbers in everyday life to understand Divisibility Rule of 279?
7.What are some fun ways kids in Saudi Arabia can practice Divisibility Rule of 279 with numbers?
8.What role do numbers and Divisibility Rule of 279 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Divisibility Rule of 279 skills?
Important Glossaries for Divisibility Rule of 279
- Divisibility rule: A set of rules used to determine whether a number is divisible by another number without division.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 279 are 279, 558, 837, etc.
- Sum: The result obtained by adding two or more numbers together.
- Grouping: The process of dividing numbers into specified sections or groups, such as dividing into groups of three digits.
- Verify: The process of confirming the truth or accuracy of a calculation or result.
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About BrightChamps in Saudi Arabia
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.
