182 LearnersLast updated on May 26th, 2025
Divisibility Rule of 340
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 340.
What is the Divisibility Rule of 340?
The divisibility rule for 340 is a method by which we can find out if a number is divisible by 340 or not without using the division method. Check whether 680 is divisible by 340 using the divisibility rule.
Step 1: Check if the number is divisible by 10. Since the last digit of 680 is 0, it is divisible by 10.
Step 2: Check if the remaining number after removing the last digit is divisible by 34. In this case, 68 is the remaining number.
Step 3: Verify that 68 is divisible by 34. Since 68 ÷ 34 = 2, 68 is divisible by 34.
Therefore, the number 680 is divisible by 340.
Tips and Tricks for Divisibility Rule of 340
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 340.
Know the multiples of 340:
Memorize the multiples of 340 (340, 680, 1020, 1360, etc.) to quickly check divisibility.
Check divisibility by 10:
Ensure the number ends in 0 to confirm it is divisible by 10.
Check divisibility by 34 for the remaining number:
Remove the last digit, and check if the remaining number is divisible by 34.
Repeat the process for large numbers:
For very large numbers, keep checking divisibility by 10 and 34 repeatedly.
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 340
The divisibility rule of 340 helps us quickly check if a given number is divisible by 340, 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 checking divisibility by both 10 and 34.
Ensure the number is first divisible by 10, and then check divisibility by 34 for the remaining number.
Divisibility Rule of 340 Examples
Problem 1
Is 680 divisible by 340?
Yes, 680 is divisible by 340.
Explanation
To check if 680 is divisible by 340, follow these steps:
1) Divide 680 by 340, which results in exactly 2.
2) Since the division results in a whole number without any remainder, 680 is divisible by 340.
Problem 2
Check if 1,020 is divisible by 340.
Yes, 1,020 is divisible by 340.
Explanation
To verify if 1,020 is divisible by 340:
1) Divide 1,020 by 340, which results in exactly 3.
2) As the result is a whole number and there is no remainder, 1,020 is divisible by 340.
Problem 3
Is -1,700 divisible by 340?
Yes, -1,700 is divisible by 340.
Explanation
To check if -1,700 is divisible by 340, remove the negative sign and proceed with the steps:
1) Divide 1,700 by 340, which results in exactly 5.
2) Since the division results in a whole number without any remainder, -1,700 is divisible by 340.
Problem 4
Can 455 be divisible by 340?
No, 455 is not divisible by 340.
Explanation
To check if 455 is divisible by 340:
1) Divide 455 by 340, which results in approximately 1.338.
2) As the result is not a whole number and there is a remainder, 455 is not divisible by 340.
Problem 5
Check if 3,400 is divisible by 340.
Yes, 3,400 is divisible by 340.
Explanation
To verify if 3,400 is divisible by 340:
1) Divide 3,400 by 340, which results in exactly 10.
2) Since the division results in a whole number without any remainder, 3,400 is divisible by 340.
FAQs on Divisibility Rule of 340
1.What is the divisibility rule for 340?
2.How many numbers between 1 and 1000 are divisible by 340?
3.Is 1020 divisible by 340?
4.What if the remaining number is 0 after removing the last digit?
5.Does the divisibility rule of 340 apply to all integers?
6.How can children in United Kingdom use numbers in everyday life to understand Divisibility Rule of 340?
7.What are some fun ways kids in United Kingdom can practice Divisibility Rule of 340 with numbers?
8.What role do numbers and Divisibility Rule of 340 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Divisibility Rule of 340 skills?
Important Glossaries for Divisibility Rule of 340
- Divisibility rule: A set of rules used to determine if one number is divisible by another without performing division.
- Multiple: The result obtained when a number is multiplied by an integer. For example, multiples of 340 are 340, 680, 1020, etc.
- Integer: A whole number that can be positive, negative, or zero.
- Subtraction: The process of finding the difference between two numbers.
- Verification: The act of confirming the correctness of a mathematical result, often using different methods such as direct 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.
