116 LearnersLast updated on May 26th, 2025
Divisibility Rule of 606
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 606.
What is the Divisibility Rule of 606?
The divisibility rule for 606 is a method by which we can find out if a number is divisible by 606 or not without using the division method. Check whether 1212 is divisible by 606 with the divisibility rule.
Step 1: Check if the number is divisible by both 2 and 303, as 606 = 2 × 303.
Step 2: For divisibility by 2, check if the last digit is even. Here in 1212, the last digit is 2, which is even. So, it is divisible by 2.
Step 3: For divisibility by 303, check if the number is divisible by 3 and 101 (since 303 = 3 × 101).
- For divisibility by 3, sum the digits of 1212: 1 + 2 + 1 + 2 = 6. Since 6 is divisible by 3, 1212 is divisible by 3.
- For divisibility by 101, check the divisibility by direct division or known rules. 1212 divided by 101 equals 12, which is an integer.
Step 4: Since 1212 is divisible by both 2 and 303, it is divisible by 606.
Tips and Tricks for Divisibility Rule of 606
Learn the divisibility rule to master quick division. Let’s learn a few tips and tricks for the divisibility rule of 606.
Know the multiples of 606: Memorize the multiples of 606 (606, 1212, 1818, 2424…etc.) to quickly check divisibility.
Use the divisibility rules of 2, 3, and 101: Understand and apply the rules for 2 (even numbers), 3 (sum of digits divisible by 3), and 101 for effective checking.
Repeat the process for large numbers: Repeat the divisibility checking process for large numbers by breaking them down into smaller parts using the rules of 2, 3, and 101.
Use the division method to verify: Students can use the division method to verify and crosscheck their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 606
The divisibility rule of 606 helps us to quickly check if the given number is divisible by 606, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not checking for all factors (2, 3, and 101).
Ensure that you check divisibility by all factors used to form 606 (2, 3, and 101).
Mistake 2
Incorrectly summing digits for divisibility by 3.
Carefully sum all digits and ensure the result is divisible by 3.
Mistake 3
Not repeating the process for large numbers.
Break down large numbers and apply the divisibility rules repeatedly until you confirm divisibility.
Mistake 4
Confusing the divisibility rules.
Practice regularly and ensure to apply the correct rules for 2, 3, and 101 as needed.
Mistake 5
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Divisibility Rule of 606 Examples
Problem 1
Is 1212 divisible by 606?
Yes, 1212 is divisible by 606.
Explanation
To determine if 1212 is divisible by 606, apply the divisibility rule.
1) Divide the number by 606, 1212 ÷ 606 = 2.
2) The result is a whole number, indicating that 1212 is divisible by 606.
Problem 2
Check the divisibility rule of 606 for 1818.
Yes, 1818 is divisible by 606.
Explanation
To check if 1818 is divisible by 606, follow the divisibility rule.
1) Divide the number by 606, 1818 ÷ 606 = 3.
2) Since the result is a whole number, 1818 is divisible by 606.
Problem 3
Is 3030 divisible by 606?
Yes, 3030 is divisible by 606.
Explanation
To verify if 3030 is divisible by 606, use the divisibility rule.
1) Divide the number by 606, 3030 ÷ 606 = 5.
2) The quotient is a whole number, confirming that 3030 is divisible by 606.
Problem 4
Can 888 be divisible by 606 following the divisibility rule?
No, 888 isn't divisible by 606.
Explanation
To check if 888 is divisible by 606, apply the divisibility rule.
1) Divide the number by 606, 888 ÷ 606 ≈ 1.465.
2) The result is not a whole number, so 888 is not divisible by 606.
Problem 5
Check the divisibility rule of 606 for 2424.
Yes, 2424 is divisible by 606
Explanation
To determine if 2424 is divisible by 606, follow the divisibility rule.
1) Divide the number by 606, 2424 ÷ 606 = 4.
2) Since the result is a whole number, 2424 is divisible by 606.
FAQs on Divisibility Rule of 606
1. What is the divisibility rule for 606?
2.How many numbers are there between 1 and 5000 that are divisible by 606?
3.Is 2424 divisible by 606?
4.What if I get 0 after division?
5.Does the divisibility rule of 606 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 606?
7.What are some fun ways kids in United States can practice Divisibility Rule of 606 with numbers?
8.What role do numbers and Divisibility Rule of 606 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 606 skills?
Important Glossaries for Divisibility Rule of 606
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number without performing division.
- Multiples: Multiples are results obtained by multiplying a number by an integer. For example, multiples of 606 are 606, 1212, 1818, etc.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Factors: Factors are numbers that divide another number evenly without leaving a remainder. For example, 2, 3, and 101 are factors of 606.
- Sum of digits: The total obtained by adding all digits of a number together, used in checking divisibility by 3.
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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.
