212 LearnersLast updated on May 26th, 2025
Divisibility Rule of 663
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.
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.
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.
Common Mistakes and How to Avoid Them in Divisibility Rule of 663
The divisibility rule of 663 helps us quickly check if a given number is divisible by 663, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not checking divisibility by both 3 and 221.
Ensure to check both conditions as 663 is the product of these numbers.
Mistake 2
Incorrect addition of digits for checking divisibility by 3.
Carefully add the digits to ensure you apply the rule correctly.
Mistake 3
Not verifying larger numbers for divisibility by 221.
Use long division or other rules accurately to ensure the number is divisible by 221.
Mistake 4
Confusing the steps.
Students often confuse the steps or forget them. Practice regularly to avoid this error.
Mistake 5
Overlooking the use of the division method.
Use the division method to verify results and ensure accuracy.
Divisibility Rule of 663 Examples
Problem 1
Can 1326 be divided by 663 without a remainder?
Yes, 1326 is divisible by 663.
Explanation
To verify if 1326 is divisible by 663, we can use straightforward division.
1) Divide 1326 by 663, resulting in 2.
2) Since 1326 divided by 663 equals an integer without a remainder, 1326 is divisible by 663.
Problem 2
Is 1989 divisible by 663?
Yes, 1989 is divisible by 663.
Explanation
We can check this by simple division.
1) Divide 1989 by 663, which gives us 3.
2) Since the division yields a whole number, 1989 is divisible by 663.
Problem 3
Determine if 2652 can be divided evenly by 663.
Yes, 2652 is divisible by 663.
Explanation
To find out if 2652 is divisible by 663, perform the division.
1) Divide 2652 by 663, resulting in 4.
2) The division results in a whole number, confirming that 2652 is divisible by 663.
Problem 4
Is 3315 a multiple of 663?
No, 3315 is not divisible by 663.
Explanation
To check the divisibility, we divide 3315 by 663.
1) Divide 3315 by 663, which results in approximately 5.
2) Since the result is not a whole number, 3315 is not divisible by 663.
Problem 5
Can 3978 be divided by 663 without a remainder?
Yes, 3978 is divisible by 663.
Explanation
To verify, perform the division.
1) Divide 3978 by 663, resulting in 6.
2) The division results in an integer, demonstrating that 3978 is divisible by 663.
FAQs on Divisibility Rule of 663
1.What is the divisibility rule for 663?
2.How many numbers are divisible by 663 between 1 and 5000?
3.Is 1989 divisible by 663?
4.What if I find a mistake in my calculation?
5.Does the divisibility rule of 663 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 663?
7.What are some fun ways kids in United States can practice Divisibility Rule of 663 with numbers?
8.What role do numbers and Divisibility Rule of 663 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 663 skills?
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.
Fun Fact
: She loves to read number jokes and games.
