2 added
2 removed
Original
2026-01-01
Modified
2026-02-28
1
-
<p>219 Learners</p>
1
+
<p>256 Learners</p>
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 6.</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 6.</p>
4
<h2>What is the Divisibility Rule of 6?</h2>
4
<h2>What is the Divisibility Rule of 6?</h2>
5
<p>The<a>divisibility rule</a>for 6 is a method by which we can find out if a<a>number</a>is divisible by 6 or not without using the<a>division</a>method. A number is divisible by 6 if it is divisible by both 2 and 3.</p>
5
<p>The<a>divisibility rule</a>for 6 is a method by which we can find out if a<a>number</a>is divisible by 6 or not without using the<a>division</a>method. A number is divisible by 6 if it is divisible by both 2 and 3.</p>
6
<p>Check whether 204 is divisible by 6 with the divisibility rule.</p>
6
<p>Check whether 204 is divisible by 6 with the divisibility rule.</p>
7
<p><strong>Step 1</strong>: Check if the number is even. Since 204 ends with 4, which is even, it is divisible by 2.</p>
7
<p><strong>Step 1</strong>: Check if the number is even. Since 204 ends with 4, which is even, it is divisible by 2.</p>
8
<p><strong>Step 2:</strong>Add the digits<a>of</a>the number. 2 + 0 + 4 = 6.</p>
8
<p><strong>Step 2:</strong>Add the digits<a>of</a>the number. 2 + 0 + 4 = 6.</p>
9
<p><strong>Step 3:</strong>Check if the<a>sum</a>from Step 2 is a<a>multiple</a>of 3. Since 6 is a multiple of 3, 204 is divisible by 3.</p>
9
<p><strong>Step 3:</strong>Check if the<a>sum</a>from Step 2 is a<a>multiple</a>of 3. Since 6 is a multiple of 3, 204 is divisible by 3.</p>
10
<p>Since 204 is divisible by both 2 and 3, it is divisible by 6.</p>
10
<p>Since 204 is divisible by both 2 and 3, it is divisible by 6.</p>
11
<h2>Tips and Tricks for Divisibility Rule of 6</h2>
11
<h2>Tips and Tricks for Divisibility Rule of 6</h2>
12
<p>Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 6.</p>
12
<p>Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 6.</p>
13
<h3>Know the multiples of 6:</h3>
13
<h3>Know the multiples of 6:</h3>
14
<p>Memorize the multiples of 6 (6, 12, 18, 24, 30, etc.) to quickly check the divisibility.</p>
14
<p>Memorize the multiples of 6 (6, 12, 18, 24, 30, etc.) to quickly check the divisibility.</p>
15
<h3>Check divisibility by 2 and 3:</h3>
15
<h3>Check divisibility by 2 and 3:</h3>
16
<p>For a number to be divisible by 6, ensure it's divisible by both 2 (<a>even numbers</a>) and 3 (sum of digits is a multiple of 3).</p>
16
<p>For a number to be divisible by 6, ensure it's divisible by both 2 (<a>even numbers</a>) and 3 (sum of digits is a multiple of 3).</p>
17
<h3>Repeat the process for larger numbers:</h3>
17
<h3>Repeat the process for larger numbers:</h3>
18
<p>Students should keep repeating the process of checking divisibility by 2 and 3 until they reach a conclusion.</p>
18
<p>Students should keep repeating the process of checking divisibility by 2 and 3 until they reach a conclusion.</p>
19
<h3>Use the division method to verify:</h3>
19
<h3>Use the division method to verify:</h3>
20
<p>Students can use the division method to verify and cross-check their results. This will help them confirm and also learn.</p>
20
<p>Students can use the division method to verify and cross-check their results. This will help them confirm and also learn.</p>
21
<h2>Common Mistakes and How to Avoid Them in Divisibility Rule of 6</h2>
21
<h2>Common Mistakes and How to Avoid Them in Divisibility Rule of 6</h2>
22
<p>The divisibility rule of 6 helps us quickly check if a given number is divisible by 6, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.</p>
22
<p>The divisibility rule of 6 helps us quickly check if a given number is divisible by 6, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.</p>
23
<h3>Explore Our Programs</h3>
23
<h3>Explore Our Programs</h3>
24
-
<p>No Courses Available</p>
24
+
<h2>Download Worksheets</h2>
25
<h3>Problem 1</h3>
25
<h3>Problem 1</h3>
26
<p>Can the number 234 be divided by 6 without leaving a remainder?</p>
26
<p>Can the number 234 be divided by 6 without leaving a remainder?</p>
27
<p>Okay, lets begin</p>
27
<p>Okay, lets begin</p>
28
<p>Yes, 234 is divisible by 6.</p>
28
<p>Yes, 234 is divisible by 6.</p>
29
<h3>Explanation</h3>
29
<h3>Explanation</h3>
30
<p>To verify divisibility by 6, a number must be divisible by both 2 and 3. 1) Check divisibility by 2: The last digit is 4, which is even. Therefore, 234 is divisible by 2. 2) Check divisibility by 3: Sum the digits, 2 + 3 + 4 = 9. Since 9 is divisible by 3, 234 is also divisible by 3. Since 234 satisfies both conditions, it is divisible by 6. </p>
30
<p>To verify divisibility by 6, a number must be divisible by both 2 and 3. 1) Check divisibility by 2: The last digit is 4, which is even. Therefore, 234 is divisible by 2. 2) Check divisibility by 3: Sum the digits, 2 + 3 + 4 = 9. Since 9 is divisible by 3, 234 is also divisible by 3. Since 234 satisfies both conditions, it is divisible by 6. </p>
31
<p>Well explained 👍</p>
31
<p>Well explained 👍</p>
32
<h3>Problem 2</h3>
32
<h3>Problem 2</h3>
33
<p>Is 525 divisible by 6?</p>
33
<p>Is 525 divisible by 6?</p>
34
<p>Okay, lets begin</p>
34
<p>Okay, lets begin</p>
35
<p>No, 525 is not divisible by 6.</p>
35
<p>No, 525 is not divisible by 6.</p>
36
<h3>Explanation</h3>
36
<h3>Explanation</h3>
37
<p>To determine divisibility by 6, we check for divisibility by both 2 and 3. 1) Check divisibility by 2: The last digit is 5, which is odd. Therefore, 525 is not divisible by 2. Since 525 is not divisible by 2, it cannot be divisible by 6, even though 525 is divisible by 3 (5 + 2 + 5 = 12, and 12 is divisible by 3).</p>
37
<p>To determine divisibility by 6, we check for divisibility by both 2 and 3. 1) Check divisibility by 2: The last digit is 5, which is odd. Therefore, 525 is not divisible by 2. Since 525 is not divisible by 2, it cannot be divisible by 6, even though 525 is divisible by 3 (5 + 2 + 5 = 12, and 12 is divisible by 3).</p>
38
<p>Well explained 👍</p>
38
<p>Well explained 👍</p>
39
<h3>Problem 3</h3>
39
<h3>Problem 3</h3>
40
<p>Determine if -360 is divisible by 6.</p>
40
<p>Determine if -360 is divisible by 6.</p>
41
<p>Okay, lets begin</p>
41
<p>Okay, lets begin</p>
42
<p>Yes, -360 is divisible by 6.</p>
42
<p>Yes, -360 is divisible by 6.</p>
43
<h3>Explanation</h3>
43
<h3>Explanation</h3>
44
<p>The criteria for divisibility by 6 are divisibility by both 2 and 3. 1) Check divisibility by 2: The last digit is 0, which is even, so -360 is divisible by 2. 2) Check divisibility by 3: Sum the digits without considering the negative sign, 3 + 6 + 0 = 9. Since 9 is divisible by 3, -360 is also divisible by 3. Therefore, -360 meets both conditions and is divisible by 6.</p>
44
<p>The criteria for divisibility by 6 are divisibility by both 2 and 3. 1) Check divisibility by 2: The last digit is 0, which is even, so -360 is divisible by 2. 2) Check divisibility by 3: Sum the digits without considering the negative sign, 3 + 6 + 0 = 9. Since 9 is divisible by 3, -360 is also divisible by 3. Therefore, -360 meets both conditions and is divisible by 6.</p>
45
<p>Well explained 👍</p>
45
<p>Well explained 👍</p>
46
<h3>Problem 4</h3>
46
<h3>Problem 4</h3>
47
<p>Can the number 157 be divided by 6 according to the divisibility rule?</p>
47
<p>Can the number 157 be divided by 6 according to the divisibility rule?</p>
48
<p>Okay, lets begin</p>
48
<p>Okay, lets begin</p>
49
<p>No, 157 is not divisible by 6.</p>
49
<p>No, 157 is not divisible by 6.</p>
50
<h3>Explanation</h3>
50
<h3>Explanation</h3>
51
<p>For divisibility by 6, the number must be divisible by both 2 and 3. 1) Check divisibility by 2: The last digit is 7, which is odd, so 157 is not divisible by 2. Since 157 is not divisible by 2, it cannot be divisible by 6, even though 1 + 5 + 7 = 13, and 13 is not divisible by 3. </p>
51
<p>For divisibility by 6, the number must be divisible by both 2 and 3. 1) Check divisibility by 2: The last digit is 7, which is odd, so 157 is not divisible by 2. Since 157 is not divisible by 2, it cannot be divisible by 6, even though 1 + 5 + 7 = 13, and 13 is not divisible by 3. </p>
52
<p>Well explained 👍</p>
52
<p>Well explained 👍</p>
53
<h3>Problem 5</h3>
53
<h3>Problem 5</h3>
54
<p>Is the number 480 divisible by 6?</p>
54
<p>Is the number 480 divisible by 6?</p>
55
<p>Okay, lets begin</p>
55
<p>Okay, lets begin</p>
56
<p>Yes, 480 is divisible by 6.</p>
56
<p>Yes, 480 is divisible by 6.</p>
57
<h3>Explanation</h3>
57
<h3>Explanation</h3>
58
<p>We need to verify divisibility by both 2 and 3. 1) Check divisibility by 2: The last digit is 0, which is even, so 480 is divisible by 2. 2) Check divisibility by 3: Sum the digits, 4 + 8 + 0 = 12. Since 12 is divisible by 3, 480 is also divisible by 3. Since 480 is divisible by both 2 and 3, it is divisible by 6. </p>
58
<p>We need to verify divisibility by both 2 and 3. 1) Check divisibility by 2: The last digit is 0, which is even, so 480 is divisible by 2. 2) Check divisibility by 3: Sum the digits, 4 + 8 + 0 = 12. Since 12 is divisible by 3, 480 is also divisible by 3. Since 480 is divisible by both 2 and 3, it is divisible by 6. </p>
59
<p>Well explained 👍</p>
59
<p>Well explained 👍</p>
60
<h2>FAQs on Divisibility Rule of 6</h2>
60
<h2>FAQs on Divisibility Rule of 6</h2>
61
<h3>1.What is the divisibility rule for 6?</h3>
61
<h3>1.What is the divisibility rule for 6?</h3>
62
<p>The divisibility rule for 6 is that a number must be divisible by both 2 (even numbers) and 3 (the sum of its digits is a multiple of 3).</p>
62
<p>The divisibility rule for 6 is that a number must be divisible by both 2 (even numbers) and 3 (the sum of its digits is a multiple of 3).</p>
63
<h3>2.How many numbers are there between 1 and 100 that are divisible by 6?</h3>
63
<h3>2.How many numbers are there between 1 and 100 that are divisible by 6?</h3>
64
<p>There are 16 numbers that can be divided by 6 between 1 and 100. The numbers are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, and 96.</p>
64
<p>There are 16 numbers that can be divided by 6 between 1 and 100. The numbers are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, and 96.</p>
65
<h3>3.Is 36 divisible by 6?</h3>
65
<h3>3.Is 36 divisible by 6?</h3>
66
<p>Yes, because 36 is even and the sum of its digits (3 + 6 = 9) is a multiple of 3.</p>
66
<p>Yes, because 36 is even and the sum of its digits (3 + 6 = 9) is a multiple of 3.</p>
67
<h3>4.What if I get 0 after adding the digits?</h3>
67
<h3>4.What if I get 0 after adding the digits?</h3>
68
<p>If the sum of the digits is 0, the number is divisible by 3 (and hence by 6 if it is also even). </p>
68
<p>If the sum of the digits is 0, the number is divisible by 3 (and hence by 6 if it is also even). </p>
69
<h3>5.Does the divisibility rule of 6 apply to all integers?</h3>
69
<h3>5.Does the divisibility rule of 6 apply to all integers?</h3>
70
<p>Yes, the divisibility rule of 6 applies to all<a>integers</a>.</p>
70
<p>Yes, the divisibility rule of 6 applies to all<a>integers</a>.</p>
71
<h2>Important Glossary for Divisibility Rule of 6</h2>
71
<h2>Important Glossary for Divisibility Rule of 6</h2>
72
<ul><li><strong>Divisibility</strong>Rule: The<a>set</a>of rules used to determine whether a number is divisible by another number without performing division.</li>
72
<ul><li><strong>Divisibility</strong>Rule: The<a>set</a>of rules used to determine whether a number is divisible by another number without performing division.</li>
73
</ul><ul><li><strong>Even Numbers</strong>: Numbers that end with 0, 2, 4, 6, or 8, which are divisible by 2.</li>
73
</ul><ul><li><strong>Even Numbers</strong>: Numbers that end with 0, 2, 4, 6, or 8, which are divisible by 2.</li>
74
</ul><ul><li><strong>Multiples</strong>: Results obtained by multiplying a number by an integer. For example, multiples of 6 are 6, 12, 18, 24, etc.</li>
74
</ul><ul><li><strong>Multiples</strong>: Results obtained by multiplying a number by an integer. For example, multiples of 6 are 6, 12, 18, 24, etc.</li>
75
</ul><ul><li><strong>Sum of Digits</strong>: The total obtained by adding all the digits of a number.</li>
75
</ul><ul><li><strong>Sum of Digits</strong>: The total obtained by adding all the digits of a number.</li>
76
</ul><ul><li><strong>Integer</strong>: A<a>whole number</a>that can be positive, negative, or zero.</li>
76
</ul><ul><li><strong>Integer</strong>: A<a>whole number</a>that can be positive, negative, or zero.</li>
77
</ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
77
</ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
78
<p>▶</p>
78
<p>▶</p>
79
<h2>Hiralee Lalitkumar Makwana</h2>
79
<h2>Hiralee Lalitkumar Makwana</h2>
80
<h3>About the Author</h3>
80
<h3>About the Author</h3>
81
<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>
81
<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>
82
<h3>Fun Fact</h3>
82
<h3>Fun Fact</h3>
83
<p>: She loves to read number jokes and games.</p>
83
<p>: She loves to read number jokes and games.</p>