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114 LearnersLast updated on February 12th, 2025
Divisibility Rule of 379
The divisibility rule is a way to determine whether a number is divisible by another number without performing division directly. 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 379.
What is the Divisibility Rule of 379?
The divisibility rule for 379 provides a method to check if a number is divisible by 379 without performing division. Let's determine whether 1137 is divisible by 379 using the divisibility rule.
Step 1: Multiply the last digit of the number by 9. For 1137, the last digit is 7. Multiply it by 9: 7 × 9 = 63.
Step 2: Subtract the result from Step 1 from the rest of the numbers, excluding the last digit. Thus, 113 - 63 = 50.
Step 3: Since 50 is not a multiple of 379, 1137 is not divisible by 379.
Tips and Tricks for Divisibility Rule of 379
Understanding the divisibility rule will help students master division. Here are some tips and tricks for the divisibility rule of 379:
- Know the multiples of 379: Memorize multiples of 379 (379, 758, 1137, etc.) to quickly check divisibility.
- Use negative numbers: If the result after subtraction is negative, consider it as positive for checking divisibility.
- Repeat the process for large numbers: Continue applying the divisibility process until you obtain a smaller number that can be easily checked. For example, to check if 3418 is divisible by 379:
Multiply the last digit by 9, i.e., 8 × 9 = 72.
Subtract 72 from the remaining digits, excluding the last digit: 341 - 72 = 269.
Since 269 is not a multiple of 379, 3418 is not divisible by 379.
- Use the division method to verify: Students can use division to verify and cross-check their results, helping them confirm and learn the process.
Common Mistakes and How to Avoid Them in Divisibility Rule of 379
While the divisibility rule of 379 helps quickly check divisibility, common mistakes can lead to errors. Here are some common mistakes and how to avoid them:
Mistake 1
Not following the correct steps.
Follow the correct steps: Multiply the last digit by 9, subtract the result from the remaining digits, and check divisibility.
Divisibility Rule of 379 Examples
Problem 1
Is 758 divisible by 379?
Yes, 758 is divisible by 379.
Explanation
To determine if 758 is divisible by 379, follow these steps:
1) Double the last digit of the number, 8 × 2 = 16.
2) Subtract the result from the remaining digits, 75 – 16 = 59.
3) Since 59 is not a multiple of 379, the initial result was incorrect.
However, upon further inspection, 758 is exactly 379 × 2, indicating divisibility.
Problem 2
Check the divisibility rule of 379 for 1137.
Yes, 1137 is divisible by 379.
Explanation
For checking the divisibility of 1137 by 379:
1) Double the last digit, 7 × 2 = 14.
2) Subtract the result from the remaining digits, 113 – 14 = 99.
3) Since 99 is not a multiple of 379, check the original number:
1137 = 379 × 3, confirming divisibility.
Problem 3
Is -758 divisible by 379?
Yes, -758 is divisible by 379.
Explanation
To check if -758 is divisible by 379:
1) Remove the negative sign and check 758.
2) Double the last digit, 8 × 2 = 16.
3) Subtract the result from the remaining digits, 75 – 16 = 59.
4) Since 59 is not a multiple of 379, but 758 equals 379 × 2, -758 is divisible by 379.
Problem 4
Can 114 be divisible by 379 following the divisibility rule?
No, 114 isn't divisible by 379.
Explanation
To check if 114 is divisible by 379:
1) Double the last digit, 4 × 2 = 8.
2) Subtract the result from the remaining digits, 11 – 8 = 3.
3) Since 3 is not a multiple of 379, 114 is not divisible by 379.
Problem 5
Check the divisibility rule of 379 for 7580.
Yes, 7580 is divisible by 379.
Explanation
To check the divisibility of 7580 by 379:
1) Double the last digit, 0 × 2 = 0.
2) Subtract the result from the remaining digits, 758 – 0 = 758.
3) Since 758 is 379 × 2, 7580 is divisible by 379.
FAQs on Divisibility Rule of 379
1.What is the divisibility rule for 379?
2.How many numbers are there between 1 and 1000 that are divisible by 379?
3.Is 1137 divisible by 379?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 379 apply to all integers?
Important Glossaries for Divisibility Rule of 379
- Divisibility rule: A set of rules used to determine if a number is divisible by another number.
- Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 379 are 379, 758, 1137, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: The process of finding the difference between two numbers by reducing one number from another.
- Verification: The process of using division to confirm the results of a divisibility test.
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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.
