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Last updated on February 18th, 2025

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Divisibility Rule of 966

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Intermediate
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The divisibility rule is a way to determine whether a number is divisible by another number without using the division method. In real life, we can use divisibility rules for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 966.

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What is the Divisibility Rule of 966?

The divisibility rule for 966 is a method by which we can find out if a number is divisible by 966 without using the division method. Check whether 1932 is divisible by 966 with the divisibility rule.

 

Step 1: Check if the number is divisible by 2, 3, and 161, since 966 = 2 × 3 × 161.


For divisibility by 2: The number must end in an even digit. 1932 ends in 2, which is even.

For divisibility by 3: The sum of the digits of the number must be divisible by 3. 1 + 9 + 3 + 2 = 15, and 15 is divisible by 3.

For divisibility by 161: Use the division method or check if the number follows a specific pattern for divisibility by 161.

 

Step 2: If the number is divisible by 2, 3, and 161, then it is also divisible by 966.
divisibility rule of 966

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Tips and Tricks for Divisibility Rule of 966

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 966.

 

Know the factors of 966:


Memorize that 966 is composed of 2, 3, and 161. This will help you quickly check divisibility.

 

Repeat the process for large numbers:


Students should keep repeating the divisibility process for each factor until they reach a conclusion about the number's divisibility by 966.

 

Use the division method to verify:


Students can use the division method as a way to verify and crosscheck 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 966

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Divisibility Rule of 966 Examples

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Problem 1

Is 1932 divisible by 966?

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Explanation

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Problem 2

Check the divisibility rule of 966 for 2898.

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Explanation

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Problem 3

Is 0 divisible by 966?

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Explanation

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Problem 4

Can 9660 be divisible by 966 following the divisibility rule?

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Explanation

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Problem 5

Check the divisibility rule of 966 for 483.

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Explanation

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FAQs on Divisibility Rule of 966

1.What is the divisibility rule for 966?

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2.Are there any numbers between 1 and 1000 that are divisible by 966?

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3.Is 1932 divisible by 966?

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4.What if I get 0 after division?

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5.Does the divisibility rule of 966 apply to all integers?

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Important Glossaries for Divisibility Rule of 966

  • Divisibility rule: The set of rules used to find out whether a number is divisible by another number without actual division.

 

  • Factors: Numbers that divide another number exactly without leaving a remainder.

 

  • Division: The process of determining how many times one number is contained within another.

 

  • Integers: Whole numbers, including negative numbers and zero.

 

  • Multiples: The results obtained by multiplying a number by an integer (e.g., multiples of 3 are 3, 6, 9, 12, etc.).
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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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