160 LearnersLast updated on May 26th, 2025
Divisibility Rule of 346
The divisibility rule is a way to find out 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 346.
What is the Divisibility Rule of 346?
The divisibility rule for 346 is a method by which we can find out if a number is divisible by 346 or not without using the division method. Check whether 692 is divisible by 346 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 692, 2 is the last digit. Multiply it by 2. 2 × 2 = 4.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 69 - 4 = 65.
Step 3: If the result from step 2 isn't zero, then the number isn't divisible by 346. Since 65 is not zero, 692 is not divisible by 346.
Tips and Tricks for Divisibility Rule of 346
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 346.
Know simple multiples of 346:
Memorize simple multiples of 346 (346, 692, 1038, …etc.) to quickly check divisibility. If the subtraction result is zero, then the number is divisible by 346.
Use the negative numbers:
If the result after the subtraction is negative, consider its absolute value to check divisibility.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they get a result that confirms divisibility. If necessary, use a less cumbersome method for larger numbers.
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 346
The divisibility rule of 346 helps us quickly check if a given number is divisible by 346, 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 multiplying the last digit by 2 and then subtracting the result from the remaining digits excluding the last digit, and checking if it results in zero.
Mistake 2
Including the last digit in subtraction.
Students should exclude the last digit while subtracting and include all the remaining digits.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have a large number as a result after subtraction. The process should be repeated or simplified until clear divisibility is determined.
Mistake 4
Not considering the negative values.
Students should consider the absolute value of negative results when checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them. To avoid errors, students should practice regularly.
Divisibility Rule of 346 Examples
Problem 1
Is 1038 divisible by 346?
Yes, 1038 is divisible by 346.
Explanation
To check if 1038 is divisible by 346, let's use the rule:
1) Divide 1038 by 346 directly.
2) 1038 ÷ 346 = 3, with no remainder.
3) Since there is no remainder, 1038 is divisible by 346.
Problem 2
Check the divisibility rule of 346 for 692.
Yes, 692 is divisible by 346.
Explanation
For checking the divisibility rule of 346 for 692:
1) Divide 692 by 346 directly.
2) 692 ÷ 346 = 2, with no remainder.
3) Since there is no remainder, 692 is divisible by 346.
Problem 3
Is 1384 divisible by 346?
Yes, 1384 is divisible by 346.
Explanation
To check if 1384 is divisible by 346:
1) Divide 1384 by 346 directly.
2) 1384 ÷ 346 = 4, with no remainder.
3) Since there is no remainder, 1384 is divisible by 346.
Problem 4
Can 500 be divisible by 346 following the divisibility rule?
No, 500 isn't divisible by 346.
Explanation
To check if 500 is divisible by 346:
1) Divide 500 by 346 directly.
2) 500 ÷ 346 ≈ 1.446, with a remainder.
3) Since there is a remainder, 500 is not divisible by 346.
Problem 5
Check the divisibility rule of 346 for 1730.
Yes, 1730 is divisible by 346.
Explanation
To check the divisibility rule of 346 for 1730:
1) Divide 1730 by 346 directly.
2) 1730 ÷ 346 = 5, with no remainder.
3) Since there is no remainder, 1730 is divisible by 346.
FAQs on Divisibility Rule of 346
1.What is the divisibility rule for 346?
2.Is 346 divisible by 346?
3.Is 692 divisible by 346?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 346 apply to all integers?
6.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 346?
7.What are some fun ways kids in Australia can practice Divisibility Rule of 346 with numbers?
8.What role do numbers and Divisibility Rule of 346 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 346 skills?
Important Glossaries for Divisibility Rule of 346
- Divisibility rule: A set of guidelines used to determine whether one number is divisible by another without performing division.
- Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 346 are 346, 692, 1038, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: A process of finding out the difference between two numbers by reducing one number from another.
- Absolute value: The non-negative value of a number without regard to its sign.
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About BrightChamps in Australia
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.
