204 LearnersLast updated on May 26th, 2025
Divisibility Rule of 306
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 306
What is the Divisibility Rule of 306?
The divisibility rule for 306 is a method by which we can find out if a number is divisible by 306 or not without using the division method. Check whether 612 is divisible by 306 with the divisibility rule.
Step 1: Check if the number is divisible by 2. Here, 612 ends in 2, which is even, so it is divisible by 2.
Step 2: Check if the number is divisible by 3. Add the digits of the number: 6 + 1 + 2 = 9. Since 9 is divisible by 3, 612 is divisible by 3.
Step 3: Check if the number is divisible by 17. Use actual division to verify: 612 ÷ 17 = 36, which is a whole number.
Since 612 is divisible by 2, 3, and 17, it is divisible by 306.
Tips and Tricks for Divisibility Rule of 306
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 306
1. Know the prime factors of 306:
Memorize the prime factors of 306 (2, 3, 17) to quickly check the divisibility. If a number is divisible by these, it is divisible by 306.
2. Use multiplication to verify:
Calculate 306 as 2 × 3 × 17 to understand the rule better and check each factor.
3. Repeat the process for large numbers:
Students should keep repeating the divisibility process for each factor until they reach a conclusion.
4. Use the division method to verify:
Students can use the division method as a way to verify and cross-check their results. This will help them to confirm their findings.
Common Mistakes and How to Avoid Them in Divisibility Rule of 306
The divisibility rule of 306 helps us to quickly check if a given number is divisible by 306, 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 all factors.
Students should ensure they check divisibility by all three factors: 2, 3, and 17.
Mistake 2
Incorrect addition of digits for divisibility by 3.
Carefully add the digits to ensure accurate checking for divisibility by 3
Mistake 3
Forgetting to verify with 17.
Always remember to verify divisibility with 17, not just 2 and 3.
Mistake 4
Confusing prime factorization.
Practice the prime factorization of 306 (2 × 3 × 17) to avoid confusion.
Mistake 5
Skipping the division method for verification.
Use the division method as a final check to confirm results.
Divisibility Rule of 306 Examples
Problem 1
Is 612 divisible by 306?
Yes, 612 is divisible by 306.
Explanation
1) Divide 612 by 306.
2) 612 ÷ 306 = 2, which is an integer.
3) Therefore, 612 is divisible by 306.
Problem 2
Check the divisibility rule of 306 for 1224.
Yes, 1224 is divisible by 306.
Explanation
1) Divide 1224 by 306.
2) 1224 ÷ 306 = 4, which is an integer.
3) Therefore, 1224 is divisible by 306
Problem 3
Is 918 divisible by 306?
Yes, 918 is divisible by 306.
Explanation
1) Divide 918 by 306.
2) 918 ÷ 306 = 3, which is an integer.
3) Therefore, 918 is divisible by 306.
Problem 4
Can 715 be divisible by 306 following the divisibility rule?
No, 715 isn't divisible by 306.
Explanation
1) Divide 715 by 306.
2) 715 ÷ 306 ≈ 2.337, which is not an integer.
3) Therefore, 715 is not divisible by 306.
Problem 5
Check the divisibility rule of 306 for 1836.
Yes, 1836 is divisible by 306.
Explanation
1) Divide 1836 by 306.
2) 1836 ÷ 306 = 6, which is an integer.
3) Therefore, 1836 is divisible by 306.
FAQs on Divisibility Rule of 306
1.What is the divisibility rule for 306?
2. How many numbers are there between 1 and 1000 that are divisible by 306?
3. Is 918 divisible by 306?
4. What if I get a non-integer quotient when verifying with division?
5. Does the divisibility rule of 306 apply to all integers?
6.How can children in United Arab Emirates use numbers in everyday life to understand Divisibility Rule of 306?
7.What are some fun ways kids in United Arab Emirates can practice Divisibility Rule of 306 with numbers?
8.What role do numbers and Divisibility Rule of 306 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Divisibility Rule of 306 skills?
Important Glossaries for Divisibility Rule of 306
- 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 306 if it is divisible by 2, 3, and 17.
- Prime factors: Prime numbers that multiply together to give the original number. For 306, these are 2, 3, and 17.
- Integer: Integers are numbers that include all the whole numbers, negative numbers, and zero.
- Multiplication: The process of combining equal groups. It is used to determine the factors of a number.
- Verification: The process of confirming the accuracy of a result, often by using a secondary method like actual division.
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About BrightChamps in United Arab Emirates
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.
