197 LearnersLast updated on May 26th, 2025
Divisibility Rule of 345
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 345.
What is the Divisibility Rule of 345?
The divisibility rule for 345 is a method by which we can find out if a number is divisible by 345 or not without using the division method. Check whether 1035 is divisible by 345 with the divisibility rule.
Step 1: Check if the number is divisible by 5. For 1035, since it ends in 5, it is divisible by 5.
Step 2: Check if the number is divisible by 3. Sum the digits: 1 + 0 + 3 + 5 = 9. Since 9 is divisible by 3, the number is divisible by 3.
Step 3: Check if the number is divisible by 23. Divide 1035 by 23 to verify.
Since 1035 is divisible by 5, 3, and 23, it is divisible by 345.
Tips and Tricks for Divisibility Rule of 345
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 345.
Know the multiples of 345:
Memorize the multiples of 345 (345, 690, 1035, etc.) to quickly check the divisibility. If a number matches these multiples, then it is divisible by 345.
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 to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 345
The divisibility rule of 345 helps us to quickly check if the given number is divisible by 345, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not checking divisibility by all components (5, 3, 23).
Students should check divisibility by each component (5, 3, and 23) to ensure accuracy.
Mistake 2
Incorrect calculations when summing digits for divisibility by 3.
Double-check the addition of digits to ensure the sum is correct.
Mistake 3
Not verifying with the division method.
Use division as a final check to confirm the number is divisible by 345.
Mistake 4
Confusing the components of the divisibility rule.
Practice regularly to remember that 345 = 5 × 3 × 23.
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 345 Examples
Problem 1
Is 690 divisible by 345?
Yes, 690 is divisible by 345.
Explanation
To check the divisibility of 690 by 345, let's use a conceptual approach. If a number can be divided evenly by 345, the half of that number should be divisible by 345/2 = 172.5. Since 690 ÷ 2 = 345, which is exactly half, 690 is divisible by 345.
Problem 2
Check if the number 1380 is divisible by 345.
Yes, 1380 is divisible by 345.
Explanation
To check the divisibility, consider splitting the number into two parts. 1380 can be seen as 690 + 690. Since we know 690 is divisible by 345, adding two such numbers (690 + 690) results in a number (1380) that is also divisible by 345.
Problem 3
Is 3450 divisible by 345?
Yes, 3450 is divisible by 345.
Explanation
To check if 3450 is divisible by 345, look at the simplest form of multiplication. 3450 can be expressed as 345 × 10. Since multiplying any number by 10 retains the divisibility of the original number, 3450 is divisible by 345.
Problem 4
Can 1725 be divisible by 345 following the divisibility rule?
No, 1725 isn't divisible by 345.
Explanation
To determine if 1725 is divisible by 345, compare it to nearby multiples of 345. The closest multiples of 345 are 1380 (345 × 4) and 1725. Since 1725 – 1380 = 345, which does not align with the divisibility of 345 evenly within the context, 1725 is not divisible by 345.
Problem 5
Is 2070 divisible by 345 using the divisibility rule?
Yes, 2070 is divisible by 345.
Explanation
To check if 2070 is divisible by 345, simplify the division by calculating the quotient. If 2070 ÷ 345 results in a whole number, then 2070 is divisible by 345. The division yields 6 (2070 ÷ 345 = 6), confirming that 2070 is divisible by 345.
FAQs on Divisibility Rule of 345
1.What is the divisibility rule for 345?
2.How many numbers are there between 1 and 1000 that are divisible by 345?
3.Is 690 divisible by 345?
4.What if a number is divisible by 5 and 3 but not by 23?
5.Does the divisibility rule of 345 apply to all the integers?
6.How can children in United Kingdom use numbers in everyday life to understand Divisibility Rule of 345?
7.What are some fun ways kids in United Kingdom can practice Divisibility Rule of 345 with numbers?
8.What role do numbers and Divisibility Rule of 345 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 345 skills?
Important Glossaries for Divisibility Rule of 345
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number. For example, a number is divisible by 5 if it ends in 0 or 5.
- Multiples: The results of multiplying a number by an integer. For example, multiples of 345 are 345, 690, 1035, etc.
- Integers: The set of whole numbers, including negative numbers and zero.
- Sum of digits: The total obtained by adding all the digits of a number.
- Verification: The process of confirming that a result or calculation is accurate, often by using an alternative 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.
