195 LearnersLast updated on May 26th, 2025
Divisibility Rule of 389
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 things. In this topic, we will learn about the divisibility rule of 389.
What is the Divisibility Rule of 389?
The divisibility rule for 389 is a method by which we can find out if a number is divisible by 389 or not without using the division method. Check whether 1167 is divisible by 389 with the divisibility rule.
Step 1: Multiply the last digit of the number by 9, here in 1167, 7 is the last digit, multiply it by 9. 7 × 9 = 63
Step 2: Multiply the second last digit by 8, then add to the result of Step 1. The second last digit is 6. 6 × 8 = 48, so add 63 + 48 = 111.
Step 3: Multiply the third last digit by 3, then add to the result of Step 2. The third last digit is 1. 1 × 3 = 3, so add 111 + 3 = 114.
Step 4: Subtract the result from Step 3 from the remaining values excluding the last three digits. Here we only have 1. Thus, 1 - 114 = -113.
Step 5: If the result from Step 4 is a multiple of 389, the number is divisible by 389. If not, then it isn't divisible by 389. Since -113 is not a multiple of 389, 1167 is not divisible by 389.
Tips and Tricks for Divisibility Rule of 389
Learning divisibility rules helps kids master division. Let’s learn a few tips and tricks for the divisibility rule of 389.
- Know the multiples of 389: Memorize the multiples of 389 (389, 778, 1167, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 389, the number is divisible by 389.
- Use positive values: If the result we get after subtraction is negative, consider it as positive for checking the divisibility.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 389.
- 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 learn and verify.
Common Mistakes and How to Avoid Them in Divisibility Rule of 389
The divisibility rule of 389 helps us quickly check if a given number is divisible by 389, but common mistakes like calculation errors can lead to incorrect results. 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: multiplying the last digit with 9, the second last with 8, and the third last with 3, then subtracting the result from the remaining digits. Check if it is a multiple of 389.
Mistake 2
Including digits incorrectly in subtraction.
Students should exclude the last three digits when subtracting and only use the remaining digits.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after getting a large number. Repeat the process until you get the smallest number that is divisible by 389.
Mistake 4
Not considering negative values correctly.
Students should consider negative values as positive when checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them. To avoid this error, practice regularly.
Divisibility Rule of 389 Examples
Problem 1
Is 1167 divisible by 389?
Yes, 1167 is divisible by 389.
Explanation
To determine if 1167 is divisible by 389, you can perform a direct division check.
1) Divide 1167 by 389, which equals 3.
2) Since the division results in a whole number with no remainder, 1167 is divisible by 389.
Problem 2
Check the divisibility of 778 by 389.
Yes, 778 is divisible by 389.
Explanation
To check the divisibility of 778 by 389:
1) Divide 778 by 389, which equals 2.
2) Since the division results in a whole number with no remainder, 778 is divisible by 389.
Problem 3
Is 2334 divisible by 389?
No, 2334 is not divisible by 389.
Explanation
To determine if 2334 is divisible by 389:
1) Divide 2334 by 389, which equals approximately 5.998.
2) Since there is a remainder, 2334 is not divisible by 389.
Problem 4
Can 3890 be divided by 389 without leaving a remainder?
Yes, 3890 is divisible by 389.
Explanation
To check if 3890 is divisible by 389:
1) Divide 3890 by 389, which equals 10.
2) Since the division results in a whole number with no remainder, 3890 is divisible by 389.
Problem 5
Check the divisibility of 27,083 by 389.
No, 27,083 is not divisible by 389.
Explanation
To determine if 27,083 is divisible by 389:
1) Divide 27,083 by 389, which equals approximately 69.6.
2) Since there is a remainder, 27,083 is not divisible by 389.
FAQs on Divisibility Rule of 389
1.What is the divisibility rule for 389?
2.How many numbers are there between 1 and 1000 that are divisible by 389?
3.Is 1167 divisible by 389?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 389 apply to all integers?
6.How can children in Qatar use numbers in everyday life to understand Divisibility Rule of 389?
7.What are some fun ways kids in Qatar can practice Divisibility Rule of 389 with numbers?
8.What role do numbers and Divisibility Rule of 389 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 389 skills?
Important Glossaries for Divisibility Rule of 389
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number or not.
- Multiples: The results obtained after multiplying a number by an integer, such as multiples of 389 being 389, 778, 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 from another.
- Division method: A mathematical method used to divide numbers and verify results from divisibility rules.
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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.
