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1 - <p>285 Learners</p>
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2 <p>Last updated on<strong>August 5, 2025</strong></p>
2 <p>Last updated on<strong>August 5, 2025</strong></p>
3 <p>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.</p>
3 <p>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.</p>
4 <h2>What is the Divisibility Rule of 102?</h2>
4 <h2>What is the Divisibility Rule of 102?</h2>
5 <p>The<a>divisibility rule</a>for 102 is a method by which we can find out if a<a>number</a>is divisible by 102 or not without using the<a>division</a>method. Check whether 3060 is divisible by 102 with the divisibility rule. </p>
5 <p>The<a>divisibility rule</a>for 102 is a method by which we can find out if a<a>number</a>is divisible by 102 or not without using the<a>division</a>method. Check whether 3060 is divisible by 102 with the divisibility rule. </p>
6 <p><strong>Step 1:</strong>Check if the number is divisible by 2, 3, and 17, since 102 = 2 × 3 × 17.</p>
6 <p><strong>Step 1:</strong>Check if the number is divisible by 2, 3, and 17, since 102 = 2 × 3 × 17.</p>
7 <p>- Divisibility by 2: The last digit<a>of</a>3060 is 0, which is even. So, 3060 is divisible by 2. - Divisibility by 3: Find the<a>sum</a>of the digits, 3 + 0 + 6 + 0 = 9. Since 9 is divisible by 3, 3060 is divisible by 3. - Divisibility by 17: Perform<a>long division</a>or another check to verify, but for this example, assume the individual checks confirm divisibility.</p>
7 <p>- Divisibility by 2: The last digit<a>of</a>3060 is 0, which is even. So, 3060 is divisible by 2. - Divisibility by 3: Find the<a>sum</a>of the digits, 3 + 0 + 6 + 0 = 9. Since 9 is divisible by 3, 3060 is divisible by 3. - Divisibility by 17: Perform<a>long division</a>or another check to verify, but for this example, assume the individual checks confirm divisibility.</p>
8 <p><strong>Step 2:</strong>Since 3060 is divisible by 2, 3, and 17, it is divisible by 102. </p>
8 <p><strong>Step 2:</strong>Since 3060 is divisible by 2, 3, and 17, it is divisible by 102. </p>
9 <h2>Tips and Tricks for Divisibility Rule of 102</h2>
9 <h2>Tips and Tricks for Divisibility Rule of 102</h2>
10 <p>Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 102.</p>
10 <p>Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 102.</p>
11 <ul><li><strong>Know the<a>factors</a>:</strong>Memorize that 102 = 2 × 3 × 17, and check divisibility by these numbers to quickly verify divisibility by 102. </li>
11 <ul><li><strong>Know the<a>factors</a>:</strong>Memorize that 102 = 2 × 3 × 17, and check divisibility by these numbers to quickly verify divisibility by 102. </li>
12 <li><strong>Use the sum for divisibility by 3:</strong>For checking divisibility by 3, add up the digits of the number. If the sum is a<a>multiple</a>of 3, the number is divisible by 3. </li>
12 <li><strong>Use the sum for divisibility by 3:</strong>For checking divisibility by 3, add up the digits of the number. If the sum is a<a>multiple</a>of 3, the number is divisible by 3. </li>
13 <li><strong>Repeat the process for large numbers:</strong>If you have a large number, break it down into its components and check divisibility by 2, 3, and 17 separately. </li>
13 <li><strong>Repeat the process for large numbers:</strong>If you have a large number, break it down into its components and check divisibility by 2, 3, and 17 separately. </li>
14 <li><strong>Use the division method to verify:</strong>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. </li>
14 <li><strong>Use the division method to verify:</strong>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. </li>
15 </ul><h2>Common Mistakes and How to Avoid Them in Divisibility Rule of 102</h2>
15 </ul><h2>Common Mistakes and How to Avoid Them in Divisibility Rule of 102</h2>
16 <p>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.</p>
16 <p>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.</p>
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19 <h3>Problem 1</h3>
19 <h3>Problem 1</h3>
20 <p>Is 204 divisible by 102?</p>
20 <p>Is 204 divisible by 102?</p>
21 <p>Okay, lets begin</p>
21 <p>Okay, lets begin</p>
22 <p>Yes, 204 is divisible by 102.</p>
22 <p>Yes, 204 is divisible by 102.</p>
23 <h3>Explanation</h3>
23 <h3>Explanation</h3>
24 <p>To determine if 204 is divisible by 102, consider the following steps:</p>
24 <p>To determine if 204 is divisible by 102, consider the following steps:</p>
25 <p>1) Divide the number by 102 directly: 204 ÷ 102 = 2.</p>
25 <p>1) Divide the number by 102 directly: 204 ÷ 102 = 2.</p>
26 <p>2) The result is an integer, confirming that 204 is divisible by 102.</p>
26 <p>2) The result is an integer, confirming that 204 is divisible by 102.</p>
27 <p>Well explained 👍</p>
27 <p>Well explained 👍</p>
28 <h3>Problem 2</h3>
28 <h3>Problem 2</h3>
29 <p>Check the divisibility rule of 102 for 306.</p>
29 <p>Check the divisibility rule of 102 for 306.</p>
30 <p>Okay, lets begin</p>
30 <p>Okay, lets begin</p>
31 <p>Yes, 306 is divisible by 102.</p>
31 <p>Yes, 306 is divisible by 102.</p>
32 <h3>Explanation</h3>
32 <h3>Explanation</h3>
33 <p> To verify if 306 is divisible by 102:</p>
33 <p> To verify if 306 is divisible by 102:</p>
34 <p>1) Divide the number by 102 directly: 306 ÷ 102 = 3.</p>
34 <p>1) Divide the number by 102 directly: 306 ÷ 102 = 3.</p>
35 <p>2) Since the result is an integer, 306 is divisible by 102.</p>
35 <p>2) Since the result is an integer, 306 is divisible by 102.</p>
36 <p>Well explained 👍</p>
36 <p>Well explained 👍</p>
37 <h3>Problem 3</h3>
37 <h3>Problem 3</h3>
38 <p>Is -510 divisible by 102?</p>
38 <p>Is -510 divisible by 102?</p>
39 <p>Okay, lets begin</p>
39 <p>Okay, lets begin</p>
40 <p>No, -510 is not divisible by 102.</p>
40 <p>No, -510 is not divisible by 102.</p>
41 <h3>Explanation</h3>
41 <h3>Explanation</h3>
42 <p>To check the divisibility of -510 by 102:</p>
42 <p>To check the divisibility of -510 by 102:</p>
43 <p>1) Remove the negative sign and divide: 510 ÷ 102 ≈ 5.</p>
43 <p>1) Remove the negative sign and divide: 510 ÷ 102 ≈ 5.</p>
44 <p>2) The result is not an integer. Therefore, -510 is not divisible by 102.</p>
44 <p>2) The result is not an integer. Therefore, -510 is not divisible by 102.</p>
45 <p>Well explained 👍</p>
45 <p>Well explained 👍</p>
46 <h3>Problem 4</h3>
46 <h3>Problem 4</h3>
47 <p>Can 714 be divisible by 102 following the divisibility rule?</p>
47 <p>Can 714 be divisible by 102 following the divisibility rule?</p>
48 <p>Okay, lets begin</p>
48 <p>Okay, lets begin</p>
49 <p>No, 714 isn't divisible by 102.</p>
49 <p>No, 714 isn't divisible by 102.</p>
50 <h3>Explanation</h3>
50 <h3>Explanation</h3>
51 <p>To determine if 714 is divisible by 102:</p>
51 <p>To determine if 714 is divisible by 102:</p>
52 <p>1) Divide the number by 102: 714 ÷ 102 ≈ 7.</p>
52 <p>1) Divide the number by 102: 714 ÷ 102 ≈ 7.</p>
53 <p>2) The result is not an integer, so 714 is not divisible by 102.</p>
53 <p>2) The result is not an integer, so 714 is not divisible by 102.</p>
54 <p>Well explained 👍</p>
54 <p>Well explained 👍</p>
55 <h3>Problem 5</h3>
55 <h3>Problem 5</h3>
56 <p>Check the divisibility rule of 102 for 918.</p>
56 <p>Check the divisibility rule of 102 for 918.</p>
57 <p>Okay, lets begin</p>
57 <p>Okay, lets begin</p>
58 <p>Yes, 918 is divisible by 102.</p>
58 <p>Yes, 918 is divisible by 102.</p>
59 <h3>Explanation</h3>
59 <h3>Explanation</h3>
60 <p>For checking the divisibility of 918 by 102:</p>
60 <p>For checking the divisibility of 918 by 102:</p>
61 <p>1) Divide the number by 102: 918 ÷ 102 = 9.</p>
61 <p>1) Divide the number by 102: 918 ÷ 102 = 9.</p>
62 <p>2) The result is an integer, indicating that 918 is divisible by 102.</p>
62 <p>2) The result is an integer, indicating that 918 is divisible by 102.</p>
63 <p>Well explained 👍</p>
63 <p>Well explained 👍</p>
64 <h2>FAQs on Divisibility Rule of 102</h2>
64 <h2>FAQs on Divisibility Rule of 102</h2>
65 <h3>1.What is the divisibility rule for 102?</h3>
65 <h3>1.What is the divisibility rule for 102?</h3>
66 <p>The divisibility rule for 102 is to check if a number is divisible by 2, 3, and 17. If it is divisible by all three, it is divisible by 102.</p>
66 <p>The divisibility rule for 102 is to check if a number is divisible by 2, 3, and 17. If it is divisible by all three, it is divisible by 102.</p>
67 <h3>2.How many numbers are there between 1 and 1000 that are divisible by 102?</h3>
67 <h3>2.How many numbers are there between 1 and 1000 that are divisible by 102?</h3>
68 <p>There are 9 numbers between 1 and 1000 that are divisible by 102. They are 102, 204, 306, 408, 510, 612, 714, 816, and 918.</p>
68 <p>There are 9 numbers between 1 and 1000 that are divisible by 102. They are 102, 204, 306, 408, 510, 612, 714, 816, and 918.</p>
69 <h3>3.Is 204 divisible by 102?</h3>
69 <h3>3.Is 204 divisible by 102?</h3>
70 <p>Yes, because 204 is a multiple of 102 (102 × 2 = 204)</p>
70 <p>Yes, because 204 is a multiple of 102 (102 × 2 = 204)</p>
71 <h3>4.What if only some factors are divisible?</h3>
71 <h3>4.What if only some factors are divisible?</h3>
72 <p>If a number is divisible by only some of the factors (2, 3, or 17) but not all, then it is not divisible by 102.</p>
72 <p>If a number is divisible by only some of the factors (2, 3, or 17) but not all, then it is not divisible by 102.</p>
73 <h3>5. Does the divisibility rule of 102 apply to all integers?</h3>
73 <h3>5. Does the divisibility rule of 102 apply to all integers?</h3>
74 <p>Yes, the divisibility rule of 102 applies to all<a>integers</a>. </p>
74 <p>Yes, the divisibility rule of 102 applies to all<a>integers</a>. </p>
75 <h2>Important Glossaries for Divisibility Rule of 102</h2>
75 <h2>Important Glossaries for Divisibility Rule of 102</h2>
76 <ul><li><strong> Divisibility rule:</strong>The set of rules used to find out whether a number is divisible by another number or not. </li>
76 <ul><li><strong> Divisibility rule:</strong>The set of rules used to find out whether a number is divisible by another number or not. </li>
77 <li><strong>Factors:</strong>Numbers that are multiplied together to get another number. For example, 2, 3, and 17 are factors of 102. </li>
77 <li><strong>Factors:</strong>Numbers that are multiplied together to get another number. For example, 2, 3, and 17 are factors of 102. </li>
78 <li><strong>Multiple:</strong>The result we get after multiplying a number by an integer. For example, multiples of 102 are 102, 204, 306, etc. </li>
78 <li><strong>Multiple:</strong>The result we get after multiplying a number by an integer. For example, multiples of 102 are 102, 204, 306, etc. </li>
79 <li><strong>Integer:</strong>A whole number that can be positive, negative, or zero. </li>
79 <li><strong>Integer:</strong>A whole number that can be positive, negative, or zero. </li>
80 <li><strong>Sum:</strong>The result of adding numbers together. Used to check divisibility by 3. </li>
80 <li><strong>Sum:</strong>The result of adding numbers together. Used to check divisibility by 3. </li>
81 </ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
81 </ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
82 <p>▶</p>
82 <p>▶</p>
83 <h2>Hiralee Lalitkumar Makwana</h2>
83 <h2>Hiralee Lalitkumar Makwana</h2>
84 <h3>About the Author</h3>
84 <h3>About the Author</h3>
85 <p>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.</p>
85 <p>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.</p>
86 <h3>Fun Fact</h3>
86 <h3>Fun Fact</h3>
87 <p>: She loves to read number jokes and games.</p>
87 <p>: She loves to read number jokes and games.</p>