213 LearnersLast updated on May 26th, 2025
Divisibility Rule of 665
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 665.
What is the Divisibility Rule of 665?
The divisibility rule for 665 is a method by which we can find out if a number is divisible by 665 or not without using the division method.
Check whether 1995 is divisible by 665 with the divisibility rule.
Step 1: Ensure the number is divisible by both 5 and 133, as 665 = 5 × 133. First, check divisibility by 5. Since 1995 ends in 5, it is divisible by 5.
Step 2: Now, check for divisibility by 133. Divide the number excluding the last digit by 133. Here, divide 199 by 133. Since 199 is greater than 133, subtract 133 from 199 to check if it's divisible by 133. 199 - 133 = 66.
Step 3: Since 66 is not divisible by 133, 1995 is not divisible by 665.
Tips and Tricks for Divisibility Rule of 665
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 665.
- Know the multiples of 665: Memorize the multiples of 665 (665, 1330, 1995, 2660, etc.) to quickly check divisibility. If the result from subtraction or division is a multiple of 665, the number is divisible by 665.
- Use divisibility rules of factors: Since 665 = 5 × 133, check divisibility by 5 and 133 separately. If both conditions are met, the number is divisible by 665.
- Repeat the process for large numbers: For large numbers, repeat the divisibility checks until you reach a smaller, more manageable number.
- Use the division method to verify: Students can use the division method to verify and cross-check their results. This will help them verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 665
The divisibility rule of 665 helps us quickly check if a given number is divisible by 665, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking both divisibility conditions.
Ensure the number is divisible by both 5 and 133, as 665 = 5 × 133.
Mistake 2
Confusing the steps.
Students often confuse the steps or forget them. To avoid errors, students should practice regularly.
Mistake 3
Incorrect subtraction or division.
Double-check subtraction and division steps to ensure accuracy.
Mistake 4
Ignoring one of the factors.
Remember to check divisibility by both factors (5 and 133) for complete verification.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them. Practice regularly to avoid this error.
Divisibility Rule of 665 Examples
Problem 1
Is 1330 divisible by 665?
Yes, 1330 is divisible by 665.
Explanation
To verify if 1330 is divisible by 665, we can use the divisibility rule for 665.
1) Divide the number by 665 directly, 1330 ÷ 665 = 2.
2) The result is a whole number, indicating that 1330 is divisible by 665.
Problem 2
Check the divisibility rule of 665 for 1995.
Yes, 1995 is divisible by 665.
Explanation
To determine if 1995 is divisible by 665, follow these steps:
1) Divide the number by 665 directly, 1995 ÷ 665 = 3.
2) The result is a whole number, so 1995 is divisible by 665.
Problem 3
Is -3325 divisible by 665?
Yes, -3325 is divisible by 665.
Explanation
To check if -3325 is divisible by 665, we ignore the negative sign and check the positive number.
1) Divide the positive number by 665, 3325 ÷ 665 = 5.
2) The result is a whole number, indicating that -3325 is divisible by 665.
Problem 4
Can 1500 be divisible by 665 following the divisibility rule?
No, 1500 isn't divisible by 665.
Explanation
To check if 1500 is divisible by 665:
1) Divide the number by 665, 1500 ÷ 665 ≈ 2.2556.
2) The result is not a whole number, so 1500 is not divisible by 665.
Problem 5
Check the divisibility rule of 665 for 3325.
Yes, 3325 is divisible by 665.
Explanation
To determine if 3325 is divisible by 665:
1) Divide the number by 665, 3325 ÷ 665 = 5.
2) The result is a whole number, indicating that 3325 is divisible by 665.
FAQs on Divisibility Rule of 665
1.What is the divisibility rule for 665?
2.How many numbers between 1 and 5000 are divisible by 665?
3.Is 1330 divisible by 665?
4.What if I get 0 after subtraction or division?
5.Does the divisibility rule of 665 apply to all integers?
6.How can children in Qatar use numbers in everyday life to understand Divisibility Rule of 665?
7.What are some fun ways kids in Qatar can practice Divisibility Rule of 665 with numbers?
8.What role do numbers and Divisibility Rule of 665 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Divisibility Rule of 665 skills?
Important Glossaries for Divisibility Rule of 665
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 5 if it ends in 0 or 5.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, the multiples of 665 are 665, 1330, 1995, etc.
- Factors: Factors are numbers that divide another number completely without leaving a remainder. In this context, 5 and 133 are factors of 665.
- Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
- Integer: An integer is any whole number, positive or negative, including zero.
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About BrightChamps in Qatar
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.
