199 LearnersLast updated on May 26th, 2025
The Divisibility Rule of 618
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 618.
What is the Divisibility Rule of 618?
The divisibility rule for 618 is a method by which we can find out if a number is divisible by 618 or not without using the division method. Check whether 1236 is divisible by 618 with the divisibility rule.
Step 1: Check if the number is divisible by 2, 3, and 103 because 618 = 2 × 3 × 103.
Step 2: For divisibility by 2, the number must be even. Since 1236 ends in 6, it is even.
Step 3: For divisibility by 3, sum the digits: 1 + 2 + 3 + 6 = 12. Since 12 is divisible by 3, 1236 is divisible by 3.
Step 4: For divisibility by 103, perform actual division or check with known multiples of 103. Since 1236 divided by 103 equals 12, it is divisible.
Since 1236 is divisible by 2, 3, and 103, it is divisible by 618.
Tips and Tricks for Divisibility Rule of 618
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 618.
- Know the factors of 618: Memorize the factors (2, 3, and 103) to quickly check divisibility. A number divisible by all these factors is divisible by 618.
- Use simple checks: For large numbers, break down the divisibility checks into simpler steps using the factors.
- Repeat the process for verification: If unsure about a large number, verify divisibility by each factor separately.
- 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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 618
The divisibility rule of 618 helps us to quickly check if the given number is divisible by 618, but common mistakes like calculation errors lead to incorrect calculations. Here, we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not checking all factors.
Students should check divisibility by all factors (2, 3, and 103) to ensure a number is divisible by 618.
Mistake 2
Skipping factor checks.
Ensure you check divisibility by each factor separately to avoid errors.
Mistake 3
Not repeating the process for confirmation.
If unsure, repeat the divisibility checks to confirm results.
Mistake 4
Miscalculating sums or products.
Double-check calculations when summing digits or performing multiplications.
Mistake 5
Confusing the steps.
Practice regularly to remember and correctly apply the steps.
Divisibility Rule of 618 Examples
Problem 1
Is 1854 divisible by 618?
No, 1854 is not divisible by 618.
Explanation
To determine if 1854 is divisible by 618:
1) Find the sum of the digits of 1854: 1 + 8 + 5 + 4 = 18.
2) Check if 18 is a multiple of the sum of the digits of 618 (6 + 1 + 8 = 15).
3) Since 18 is not a multiple of 15, 1854 is not divisible by 618.
Problem 2
Check the divisibility rule of 618 for 3090.
Yes, 3090 is divisible by 618.
Explanation
To check the divisibility of 3090 by 618:
1) Find the sum of the digits of 3090: 3 + 0 + 9 + 0 = 12.
2) Check if 12 is a multiple of the sum of the digits of 618 (6 + 1 + 8 = 15).
3) Since 12 is not a multiple of 15, 3090 is not divisible by 618. Correction: There was an error in the assumption; 3090 is not divisible by 618 due to incorrect calculation.
Problem 3
Is -1236 divisible by 618?
Yes, -1236 is divisible by 618.
Explanation
To check if -1236 is divisible by 618, consider the positive value:
1) Find the sum of the digits of 1236: 1 + 2 + 3 + 6 = 12.
2) Compare 12 to the sum of the digits of 618 (6 + 1 + 8 = 15).
3) Since 12 is not a multiple of 15, -1236 is not divisible by 618.
Problem 4
Can 1236 be divisible by 618 following the divisibility rule?
Yes, 1236 is divisible by 618.
Explanation
To determine if 1236 is divisible by 618:
1) Find the sum of the digits of 1236: 1 + 2 + 3 + 6 = 12.
2) Compare 12 to the sum of the digits of 618 (6 + 1 + 8 = 15).
3) Since the approach was incorrect, let's correct: 1236 divided by 618 equals 2, thus divisible by 618.
Problem 5
Check the divisibility rule of 618 for 2472.
Yes, 2472 is divisible by 618.
Explanation
To verify the divisibility of 2472 by 618:
1) Find the sum of the digits of 2472: 2 + 4 + 7 + 2 = 15.
2) Compare 15 to the sum of the digits of 618 (6 + 1 + 8 = 15).
3) Since 15 matches the sum of 15, 2472 is divisible by 618.
FAQs on Divisibility Rule of 618
1.What is the divisibility rule for 618?
2.How many numbers are there between 1 and 2000 that are divisible by 618?
3.Is 309 divisible by 618?
4.What if I get a remainder after division?
5.Does the divisibility rule of 618 apply to all integers?
6.How can children in United Kingdom use numbers in everyday life to understand The Divisibility Rule of 618?
7.What are some fun ways kids in United Kingdom can practice The Divisibility Rule of 618 with numbers?
8.What role do numbers and The Divisibility Rule of 618 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve The Divisibility Rule of 618 skills?
Important Glossaries for Divisibility Rule of 618
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Factors: Numbers that are multiplied together to get another number. For example, factors of 618 are 2, 3, and 103.
- Multiple: The result of multiplying a number by an integer. For example, multiples of 618 include 618, 1236, and so on.
- Even number: A number divisible by 2. For instance, 4, 8, and 16 are even numbers.
- Remainder: The amount left over when one number is divided by 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.
