190 LearnersLast updated on May 26th, 2025
Divisibility Rule of 339
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 339.
What is the Divisibility Rule of 339?
The divisibility rule for 339 is a method by which we can find out if a number is divisible by 339 or not without using the division method. Check whether 6780 is divisible by 339 with the divisibility rule.
Step 1: Divide the number into groups of the same size from right to left according to the length of 339, which is a 3-digit number. In 6780, group it as (6)(780).
Step 2: Multiply the first group by 3 and the second group by 1. Here, 6 × 3 = 18 and 780 × 1 = 780.
Step 3: Add the results from Step 2, i.e., 18 + 780 = 798.
Step 4: Check if the sum, 798, is divisible by 339. In this case, it's not, so 6780 is not divisible by 339.
Tips and Tricks for Divisibility Rule of 339
Understand the multiples of 339: Memorize the multiples of 339 (339, 678, 1017, ... etc.) to quickly check divisibility. If the sum from the addition is a multiple of 339, then the number is divisible by 339.
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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 339
The divisibility rule of 339 helps us quickly check if a given number is divisible by 339, but common mistakes like calculation errors can lead to incorrect conclusions. 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, which involve grouping digits, multiplying by the appropriate factors, and checking the sum.
Mistake 2
Incorrect grouping of digits.
Ensure that digits are correctly grouped according to the length of 339, and apply the correct multiplication factor to each group.
Mistake 3
Not verifying by division.
Always verify your result using the division method to ensure accuracy.
Mistake 4
Confusing the steps.
Practice the steps regularly to avoid confusion and error.
Mistake 5
Relying on memory instead of calculation.
Always perform the necessary calculations to confirm divisibility, rather than relying solely on memory.
Divisibility Rule of 339 Examples
Problem 1
Is 678 divisible by 339?
Yes, 678 is divisible by 339.
Explanation
To check if 678 is divisible by 339:
1) Divide 678 by 339.
2) The quotient is 2 and the remainder is 0.
Thus, 678 is divisible by 339.
Problem 2
Check if 1017 is divisible by 339.
Yes, 1017 is divisible by 339.
Explanation
To determine if 1017 is divisible by 339:
1) Divide 1017 by 339.
2) The quotient is 3 and the remainder is 0.
Therefore, 1017 is divisible by 339.
Problem 3
Is 1356 divisible by 339?
Yes, 1356 is divisible by 339.
Explanation
To verify if 1356 is divisible by 339:
1) Divide 1356 by 339.
2) The quotient is 4 and the remainder is 0.
Hence, 1356 is divisible by 339.
Problem 4
Can 1458 be divisible by 339?
No, 1458 is not divisible by 339.
Explanation
To check if 1458 is divisible by 339:
1) Divide 1458 by 339.
2) The quotient is approximately 4.3 and the remainder is not 0.
Thus, 1458 is not divisible by 339.
Problem 5
Check if 2034 is divisible by 339.
Yes, 2034 is divisible by 339.
Explanation
To determine if 2034 is divisible by 339:
1) Divide 2034 by 339.
2) The quotient is 6 and the remainder is 0.
Therefore, 2034 is divisible by 339.
FAQs on Divisibility Rule of 339
1.What is the divisibility rule for 339?
2.How many numbers are there between 1 and 1000 that are divisible by 339?
3.Is 1017 divisible by 339?
4.What if I get 0 after the subtraction?
5.Does the divisibility rule of 339 apply to all integers?
6.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 339?
7.What are some fun ways kids in Australia can practice Divisibility Rule of 339 with numbers?
8.What role do numbers and Divisibility Rule of 339 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Divisibility Rule of 339 skills?
Important Glossaries for Divisibility Rule of 339
- Divisibility rule: The set of rules used to determine 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 339 are 339, 678, 1017, ...
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Grouping: The process of dividing a number into parts or groups, often used in divisibility rules.
- Verification: The process of confirming the accuracy of a solution, often by using a different method such as division.
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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.
