152 LearnersLast updated on May 26th, 2025
Divisibility Rule of 102
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 102.
What is the Divisibility Rule of 102?
The divisibility rule for 102 is a method by which we can find out if a number is divisible by 102 or not without using the division method. Check whether 3060 is divisible by 102 with the divisibility rule.
Step 1: Check if the number is divisible by 2, 3, and 17, since 102 = 2 × 3 × 17.
- Divisibility by 2: The last digit of 3060 is 0, which is even. So, 3060 is divisible by 2.
- Divisibility by 3: Find the sum of the digits, 3 + 0 + 6 + 0 = 9. Since 9 is divisible by 3, 3060 is divisible by 3.
- Divisibility by 17: Perform long division or another check to verify, but for this example, assume the individual checks confirm divisibility.
Step 2: Since 3060 is divisible by 2, 3, and 17, it is divisible by 102.
Tips and Tricks for Divisibility Rule of 102
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 102.
- Know the factors: Memorize that 102 = 2 × 3 × 17, and check divisibility by these numbers to quickly verify divisibility by 102.
- Use the sum for divisibility by 3: For checking divisibility by 3, add up the digits of the number. If the sum is a multiple of 3, the number is divisible by 3.
- Repeat the process for large numbers: If you have a large number, break it down into its components and check divisibility by 2, 3, and 17 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 102
The divisibility rule of 102 helps us to quickly check if the given number is divisible by 102, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you.
Mistake 1
Not checking for all factors.
Students should ensure they check divisibility by 2, 3, and 17, not just one or two of these.
Divisibility Rule of 102 Examples
Problem 1
Is 204 divisible by 102?
Yes, 204 is divisible by 102.
Explanation
To determine if 204 is divisible by 102, consider the following steps:
1) Divide the number by 102 directly: 204 ÷ 102 = 2.
2) The result is an integer, confirming that 204 is divisible by 102.
Problem 2
Check the divisibility rule of 102 for 306.
Yes, 306 is divisible by 102.
Explanation
To verify if 306 is divisible by 102:
1) Divide the number by 102 directly: 306 ÷ 102 = 3.
2) Since the result is an integer, 306 is divisible by 102.
Problem 3
Is -510 divisible by 102?
No, -510 is not divisible by 102.
Explanation
To check the divisibility of -510 by 102:
1) Remove the negative sign and divide: 510 ÷ 102 ≈ 5.
2) The result is not an integer. Therefore, -510 is not divisible by 102.
Problem 4
Can 714 be divisible by 102 following the divisibility rule?
No, 714 isn't divisible by 102.
Explanation
To determine if 714 is divisible by 102:
1) Divide the number by 102: 714 ÷ 102 ≈ 7.
2) The result is not an integer, so 714 is not divisible by 102.
Problem 5
Check the divisibility rule of 102 for 918.
Yes, 918 is divisible by 102.
Explanation
For checking the divisibility of 918 by 102:
1) Divide the number by 102: 918 ÷ 102 = 9.
2) The result is an integer, indicating that 918 is divisible by 102.
FAQs on Divisibility Rule of 102
1.What is the divisibility rule for 102?
2.How many numbers are there between 1 and 1000 that are divisible by 102?
3.Is 204 divisible by 102?
4.What if only some factors are divisible?
5. Does the divisibility rule of 102 apply to all integers?
6.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 102?
7.What are some fun ways kids in Australia can practice Divisibility Rule of 102 with numbers?
8.What role do numbers and Divisibility Rule of 102 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Divisibility Rule of 102 skills?
Important Glossaries for Divisibility Rule of 102
- 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, 2, 3, and 17 are factors of 102.
- Multiple: The result we get after multiplying a number by an integer. For example, multiples of 102 are 102, 204, 306, etc.
- Integer: A whole number that can be positive, negative, or zero.
- Sum: The result of adding numbers together. Used to check 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.
