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Last updated on February 16th, 2025

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Divisibility Rule of 663

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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 663.

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What is the Divisibility Rule of 663?

The divisibility rule for 663 is a method by which we can find out if a number is divisible by 663 or not without using the division method.

Check whether 1989 is divisible by 663 with the divisibility rule.

 
Step 1: Check if the number is divisible by 3. Add the digits of the number; in 1989, the sum is 1+9+8+9=27, which is divisible by 3.


Step 2: Check if the number is divisible by 221 (which is 663 divided by 3). Use the division method or other divisibility rules to check this.


Step 3: If both conditions are satisfied, the number is divisible by 663.divisibility rule of 663

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Tips and Tricks for Divisibility Rule of 663

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 663. 

 

  • Know the multiples of 663:  Memorize the multiples of 663 (663, 1326, 1989, 2652...etc.) to quickly check the divisibility. If the number is a multiple of 663, then it is divisible by 663.
     
  • Break it down: Since 663 = 3 × 221, check divisibility by both 3 and 221. This can simplify the process.
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Common Mistakes and How to Avoid Them in Divisibility Rule of 663

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Divisibility Rule of 663 Examples

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Problem 1

Can 1326 be divided by 663 without a remainder?

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Explanation

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Problem 2

Is 1989 divisible by 663?

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Explanation

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Problem 3

Determine if 2652 can be divided evenly by 663.

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Explanation

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Problem 4

Is 3315 a multiple of 663?

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Explanation

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Problem 5

Can 3978 be divided by 663 without a remainder?

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Explanation

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FAQs on Divisibility Rule of 663

1.What is the divisibility rule for 663?

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2.How many numbers are divisible by 663 between 1 and 5000?

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3.Is 1989 divisible by 663?

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4.What if I find a mistake in my calculation?

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5.Does the divisibility rule of 663 apply to all integers?

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Important Glossaries for Divisibility Rule of 663

  • Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
     
  • Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 663 are 663, 1326, 1989, 2652, etc.
     
  • Integers: Integers are numbers that include all the whole numbers, negative numbers, and zero.
     
  • Addition: Addition is the process of finding the total or sum by combining two or more numbers.
     
  • Division: Division is the process of determining how many times one number is contained within another.
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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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: She loves to read number jokes and games.

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