156 LearnersLast updated on May 26th, 2025
Divisibility Rule of 349
The divisibility rule is a way to determine whether a number is divisible by another number without using the division method. In real life, divisibility rules can help with quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 349.
What is the Divisibility Rule of 349?
The divisibility rule for 349 is a method by which we can determine if a number is divisible by 349 without using the division method. Check whether 104,747 is divisible by 349 using the divisibility rule.
Step 1: Multiply the last digit of the number by 3, here in 104,747, 7 is the last digit, so multiply it by 3. 7 × 3 = 21.
Step 2: Subtract the result from Step 1 from the remaining values, excluding the last digit. i.e., 10,474 - 21 = 10,453.
Step 3: Repeat the process until you reach a small number. Multiply the last digit by 3, i.e., 3 × 3 = 9. Subtract from the remaining number, 1,045 - 9 = 1,036.
Step 4: Repeat again. Multiply the last digit by 3, i.e., 6 × 3 = 18. Subtract from the remaining number, 103 - 18 = 85.
Step 5: If the result is a multiple of 349, then the number is divisible by 349. Here, 85 is not a multiple of 349, so 104,747 is not divisible by 349.
Tips and Tricks for Divisibility Rule of 349
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 349.
Know the multiples of 349:
Memorize the multiples of 349 (349, 698, 1,047, etc.) to quickly check divisibility.
Use negative numbers:
If the result after subtraction is negative, treat it as positive for checking divisibility.
Repeat the process for large numbers:
Keep repeating the divisibility process until reaching a small number. For example, check if 698 is divisible by 349 using the divisibility test. Multiply the last digit by 3, i.e., 8 × 3 = 24. Subtract from the remaining digits, 69 - 24 = 45. Since 45 is not a multiple of 349, 698 is not divisible by 349.
Use the division method to verify:
The division method can be used to verify and cross-check results, helping with understanding.
Common Mistakes and How to Avoid Them in Divisibility Rule of 349
The divisibility rule of 349 helps us quickly check if a number is divisible by 349, 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.
Follow the steps: multiply the last digit by 3, subtract the result from the remaining digits, and check if it is a multiple of 349.
Mistake 2
Including the last digit in subtraction.
Exclude the last digit while subtracting and include all the remaining digits.
Mistake 3
Not repeating the process when the result is large.
Continue the process until reaching the smallest number possible to check for divisibility.
Mistake 4
Not considering negative values.
Consider negative values as positive when checking for divisibility.
Mistake 5
Confusing the steps.
Practice regularly to avoid confusion and remember the steps.
Divisibility Rule of 349 Examples
Problem 1
Check the divisibility of 1745 by 349.
No, 1745 is not divisible by 349.
Explanation
To determine if 1745 is divisible by 349, divide 1745 by 349.
1) Divide 1745 by 349, which equals approximately 5.
2) Since the division does not yield an integer (5), 1745 is not divisible by 349.
Problem 2
Is -1047 divisible by 349?
Yes, -1047 is divisible by 349.
Explanation
To check if -1047 is divisible by 349, ignore the negative sign and divide the absolute value.
1) Divide 1047 by 349, resulting in 3.
2) Since the division results in an integer without a remainder, -1047 is divisible by 349 (349 x 3 = 1047).
Problem 3
Can 349 be divisible by itself following the divisibility rule?
Yes, 349 is divisible by 349.
Explanation
A number is always divisible by itself.
1) Divide 349 by 349, which equals 1.
2) Since the division results in an integer without a remainder, 349 is divisible by 349.
FAQs on Divisibility Rule of 349
1.What is the divisibility rule for 349?
2.How many numbers are there between 1 and 1,000 that are divisible by 349?
3.Is 349 divisible by 349?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 349 apply to all integers?
6.How can children in Singapore use numbers in everyday life to understand Divisibility Rule of 349?
7.What are some fun ways kids in Singapore can practice Divisibility Rule of 349 with numbers?
8.What role do numbers and Divisibility Rule of 349 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Divisibility Rule of 349 skills?
Important Glossaries for Divisibility Rule of 349
- Divisibility rule: A set of rules used to determine if a number is divisible by another number.
- Multiples: Results obtained after multiplying a number by an integer, such as multiples of 349.
- 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 the other.
- Verification: The method of confirming results, often using division to ensure accuracy.
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About BrightChamps in Singapore
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.
