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Last updated on February 12th, 2025

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Divisibility Rule of 345

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Foundation
Intermediate
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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.

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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.

divisibility rule of 345

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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.

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Common Mistakes and How to Avoid Them in Divisibility Rule of 345

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Divisibility Rule of 345 Examples

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Problem 1

Is 690 divisible by 345?

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Explanation

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Problem 2

Check if the number 1380 is divisible by 345.

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Explanation

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Problem 3

Is 3450 divisible by 345?

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Explanation

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Problem 4

Can 1725 be divisible by 345 following the divisibility rule?

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Explanation

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Problem 5

Is 2070 divisible by 345 using the divisibility rule?

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Explanation

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FAQs on Divisibility Rule of 345

1.What is the divisibility rule for 345?

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2.How many numbers are there between 1 and 1000 that are divisible by 345?

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3.Is 690 divisible by 345?

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4.What if a number is divisible by 5 and 3 but not by 23?

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5.Does the divisibility rule of 345 apply to all the integers?

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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.

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Fun Fact

: She loves to read number jokes and games.

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