2 added
2 removed
Original
2026-01-01
Modified
2026-02-28
1
-
<p>1060 Learners</p>
1
+
<p>1188 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 36.</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 36.</p>
4
<h2>What is the Divisibility Rule of 36?</h2>
4
<h2>What is the Divisibility Rule of 36?</h2>
5
<p>The<a>divisibility rule</a>for 36 is a method by which we can find out if a<a>number</a>is divisible by 36 or not without using the<a>division</a>method. Check whether 216 is divisible by 36 with the divisibility rule.</p>
5
<p>The<a>divisibility rule</a>for 36 is a method by which we can find out if a<a>number</a>is divisible by 36 or not without using the<a>division</a>method. Check whether 216 is divisible by 36 with the divisibility rule.</p>
6
<p><strong>Step 1:</strong>Check if the number is divisible by both 4 and 9, as 36 is the<a>product</a><a>of</a>these two numbers.</p>
6
<p><strong>Step 1:</strong>Check if the number is divisible by both 4 and 9, as 36 is the<a>product</a><a>of</a>these two numbers.</p>
7
<p> <strong>Step 2:</strong>To check divisibility by 4, look at the last two digits. If the last two digits form a number that is divisible by 4, then the number is divisible by 4. Here, 16 is divisible by 4.</p>
7
<p> <strong>Step 2:</strong>To check divisibility by 4, look at the last two digits. If the last two digits form a number that is divisible by 4, then the number is divisible by 4. Here, 16 is divisible by 4.</p>
8
<p><strong>Step 3:</strong>To check divisibility by 9, add all the digits of the number. If the<a>sum</a>is divisible by 9, then the number is divisible by 9. For 216, 2+1+6=9, which is divisible by 9.</p>
8
<p><strong>Step 3:</strong>To check divisibility by 9, add all the digits of the number. If the<a>sum</a>is divisible by 9, then the number is divisible by 9. For 216, 2+1+6=9, which is divisible by 9.</p>
9
<p><strong>Step 4:</strong>Since 216 is divisible by both 4 and 9, it is divisible by 36.</p>
9
<p><strong>Step 4:</strong>Since 216 is divisible by both 4 and 9, it is divisible by 36.</p>
10
<h2>Tips and Tricks for Divisibility Rule of 36</h2>
10
<h2>Tips and Tricks for Divisibility Rule of 36</h2>
11
<p>Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 36.</p>
11
<p>Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 36.</p>
12
<ul><li><strong>Know the<a>multiples</a>of 36:</strong>Memorize the multiples of 36 (36, 72, 108, 144, etc.) to quickly check divisibility. If the result confirms the number is a multiple of both 4 and 9, then it is divisible by 36. </li>
12
<ul><li><strong>Know the<a>multiples</a>of 36:</strong>Memorize the multiples of 36 (36, 72, 108, 144, etc.) to quickly check divisibility. If the result confirms the number is a multiple of both 4 and 9, then it is divisible by 36. </li>
13
<li><strong>Use smaller divisibility rules:</strong>Since 36 is composed of 4 and 9, use these smaller rules for easier calculations. </li>
13
<li><strong>Use smaller divisibility rules:</strong>Since 36 is composed of 4 and 9, use these smaller rules for easier calculations. </li>
14
<li><strong>Repeat the process for large numbers:</strong>For larger numbers, apply the divisibility tests for 4 and 9 separately. For example, check if 1296 is divisible by 36. The last two digits, 96, are divisible by 4, and 1+2+9+6=18, which is divisible by 9. Thus, 1296 is divisible by 36. </li>
14
<li><strong>Repeat the process for large numbers:</strong>For larger numbers, apply the divisibility tests for 4 and 9 separately. For example, check if 1296 is divisible by 36. The last two digits, 96, are divisible by 4, and 1+2+9+6=18, which is divisible by 9. Thus, 1296 is divisible by 36. </li>
15
<li><strong>Use the division method to verify:</strong>Students can use the division method to verify and cross-check their results. This will help them to verify and also learn.</li>
15
<li><strong>Use the division method to verify:</strong>Students can use the division method to verify and cross-check their results. This will help them to verify and also learn.</li>
16
</ul><h2>Common Mistakes and How to Avoid Them in Divisibility Rule of 36</h2>
16
</ul><h2>Common Mistakes and How to Avoid Them in Divisibility Rule of 36</h2>
17
<p>The divisibility rule of 36 helps us quickly check if a given number is divisible by 36, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.</p>
17
<p>The divisibility rule of 36 helps us quickly check if a given number is divisible by 36, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.</p>
18
<h3>Explore Our Programs</h3>
18
<h3>Explore Our Programs</h3>
19
-
<p>No Courses Available</p>
19
+
<h2>Download Worksheets</h2>
20
<h3>Problem 1</h3>
20
<h3>Problem 1</h3>
21
<p>Is the total number of seats in a theater, 720, divisible by 36?</p>
21
<p>Is the total number of seats in a theater, 720, divisible by 36?</p>
22
<p>Okay, lets begin</p>
22
<p>Okay, lets begin</p>
23
<p>Yes, 720 is divisible by 36.</p>
23
<p>Yes, 720 is divisible by 36.</p>
24
<h3>Explanation</h3>
24
<h3>Explanation</h3>
25
<p>To check if 720 is divisible by 36, we need to ensure it is divisible by both 4 and 9. </p>
25
<p>To check if 720 is divisible by 36, we need to ensure it is divisible by both 4 and 9. </p>
26
<p>1) Check divisibility by 4: The last two digits are 20, which is not divisible by 4. Therefore, 720 is not divisible by 36.</p>
26
<p>1) Check divisibility by 4: The last two digits are 20, which is not divisible by 4. Therefore, 720 is not divisible by 36.</p>
27
<p>Well explained 👍</p>
27
<p>Well explained 👍</p>
28
<h3>Problem 2</h3>
28
<h3>Problem 2</h3>
29
<p>A company produced 1,296 widgets this month. Can this number be evenly divided into boxes that hold 36 widgets each?</p>
29
<p>A company produced 1,296 widgets this month. Can this number be evenly divided into boxes that hold 36 widgets each?</p>
30
<p>Okay, lets begin</p>
30
<p>Okay, lets begin</p>
31
<p>Yes, 1,296 is divisible by 36.</p>
31
<p>Yes, 1,296 is divisible by 36.</p>
32
<h3>Explanation</h3>
32
<h3>Explanation</h3>
33
<p>To determine if 1,296 is divisible by 36, ensure it's divisible by both 4 and 9. </p>
33
<p>To determine if 1,296 is divisible by 36, ensure it's divisible by both 4 and 9. </p>
34
<p>1) Check divisibility by 4: The last two digits are 96. Since 96 ÷ 4 = 24, it is divisible by 4. </p>
34
<p>1) Check divisibility by 4: The last two digits are 96. Since 96 ÷ 4 = 24, it is divisible by 4. </p>
35
<p>2) Check divisibility by 9: The sum of the digits is 1 + 2 + 9 + 6 = 18, and 18 ÷ 9 = 2, so it's divisible by 9. </p>
35
<p>2) Check divisibility by 9: The sum of the digits is 1 + 2 + 9 + 6 = 18, and 18 ÷ 9 = 2, so it's divisible by 9. </p>
36
<p>Since 1,296 is divisible by both 4 and 9, it is divisible by 36.</p>
36
<p>Since 1,296 is divisible by both 4 and 9, it is divisible by 36.</p>
37
<p>Well explained 👍</p>
37
<p>Well explained 👍</p>
38
<h3>Problem 3</h3>
38
<h3>Problem 3</h3>
39
<p>A library received 432 new books, which need to be arranged in sections containing 36 books. Is this possible without any leftovers?</p>
39
<p>A library received 432 new books, which need to be arranged in sections containing 36 books. Is this possible without any leftovers?</p>
40
<p>Okay, lets begin</p>
40
<p>Okay, lets begin</p>
41
<p>Yes, 432 is divisible by 36.</p>
41
<p>Yes, 432 is divisible by 36.</p>
42
<h3>Explanation</h3>
42
<h3>Explanation</h3>
43
<p>To check if 432 is divisible by 36, it must be divisible by both 4 and 9. </p>
43
<p>To check if 432 is divisible by 36, it must be divisible by both 4 and 9. </p>
44
<p>1) Check divisibility by 4: The last two digits are 32. Since 32 ÷ 4 = 8, it is divisible by 4. </p>
44
<p>1) Check divisibility by 4: The last two digits are 32. Since 32 ÷ 4 = 8, it is divisible by 4. </p>
45
<p>2) Check divisibility by 9: The sum of the digits is 4 + 3 + 2 = 9, and 9 ÷ 9 = 1, so it's divisible by 9. </p>
45
<p>2) Check divisibility by 9: The sum of the digits is 4 + 3 + 2 = 9, and 9 ÷ 9 = 1, so it's divisible by 9. </p>
46
<p>432 is divisible by both 4 and 9, confirming it is divisible by 36.</p>
46
<p>432 is divisible by both 4 and 9, confirming it is divisible by 36.</p>
47
<p>Well explained 👍</p>
47
<p>Well explained 👍</p>
48
<h3>Problem 4</h3>
48
<h3>Problem 4</h3>
49
<p>A batch of 575 cookies needs to be divided into boxes containing 36 cookies each. Can this be done without breaking cookies?</p>
49
<p>A batch of 575 cookies needs to be divided into boxes containing 36 cookies each. Can this be done without breaking cookies?</p>
50
<p>Okay, lets begin</p>
50
<p>Okay, lets begin</p>
51
<p>No, 575 is not divisible by 36.</p>
51
<p>No, 575 is not divisible by 36.</p>
52
<h3>Explanation</h3>
52
<h3>Explanation</h3>
53
<p>To check if 575 is divisible by 36, ensure it is divisible by both 4 and 9.</p>
53
<p>To check if 575 is divisible by 36, ensure it is divisible by both 4 and 9.</p>
54
<p> 1) Check divisibility by 4: The last two digits are 75, which is not divisible by 4. Thus, 575 is not divisible by 36.</p>
54
<p> 1) Check divisibility by 4: The last two digits are 75, which is not divisible by 4. Thus, 575 is not divisible by 36.</p>
55
<p>Well explained 👍</p>
55
<p>Well explained 👍</p>
56
<h3>Problem 5</h3>
56
<h3>Problem 5</h3>
57
<p>Is the number of pages in a book, 864, divisible by 36, such that each chapter can have an equal number of pages?</p>
57
<p>Is the number of pages in a book, 864, divisible by 36, such that each chapter can have an equal number of pages?</p>
58
<p>Okay, lets begin</p>
58
<p>Okay, lets begin</p>
59
<p>Yes, 864 is divisible by 36.</p>
59
<p>Yes, 864 is divisible by 36.</p>
60
<h3>Explanation</h3>
60
<h3>Explanation</h3>
61
<p>To determine if 864 is divisible by 36, it must be divisible by both 4 and 9. </p>
61
<p>To determine if 864 is divisible by 36, it must be divisible by both 4 and 9. </p>
62
<p>1) Check divisibility by 4: The last two digits are 64. Since 64 ÷ 4 = 16, it is divisible by 4. </p>
62
<p>1) Check divisibility by 4: The last two digits are 64. Since 64 ÷ 4 = 16, it is divisible by 4. </p>
63
<p>2) Check divisibility by 9: The sum of the digits is 8 + 6 + 4 = 18, and 18 ÷ 9 = 2, so it's divisible by 9. </p>
63
<p>2) Check divisibility by 9: The sum of the digits is 8 + 6 + 4 = 18, and 18 ÷ 9 = 2, so it's divisible by 9. </p>
64
<p>Since 864 is divisible by both 4 and 9, it is divisible by 36.</p>
64
<p>Since 864 is divisible by both 4 and 9, it is divisible by 36.</p>
65
<p>Well explained 👍</p>
65
<p>Well explained 👍</p>
66
<h2>FAQs on Divisibility Rule of 36</h2>
66
<h2>FAQs on Divisibility Rule of 36</h2>
67
<h3>1.What is the divisibility rule for 36?</h3>
67
<h3>1.What is the divisibility rule for 36?</h3>
68
<p>A number is divisible by 36 if it is divisible by both 4 and 9.</p>
68
<p>A number is divisible by 36 if it is divisible by both 4 and 9.</p>
69
<h3>2.How many numbers are there between 1 and 200 that are divisible by 36?</h3>
69
<h3>2.How many numbers are there between 1 and 200 that are divisible by 36?</h3>
70
<p>There are 5 numbers divisible by 36 between 1 and 200. The numbers are 36, 72, 108, 144, and 180.</p>
70
<p>There are 5 numbers divisible by 36 between 1 and 200. The numbers are 36, 72, 108, 144, and 180.</p>
71
<h3>3.Is 144 divisible by 36?</h3>
71
<h3>3.Is 144 divisible by 36?</h3>
72
<p>Yes, because 144 is divisible by both 4 (last two digits 44 divisible by 4) and 9 (1+4+4=9, which is divisible by 9).</p>
72
<p>Yes, because 144 is divisible by both 4 (last two digits 44 divisible by 4) and 9 (1+4+4=9, which is divisible by 9).</p>
73
<h3>4.What if I get 0 after checking for divisibility by 9?</h3>
73
<h3>4.What if I get 0 after checking for divisibility by 9?</h3>
74
<p>If the sum of the digits equals 9, then the number is divisible by 9.</p>
74
<p>If the sum of the digits equals 9, then the number is divisible by 9.</p>
75
<h3>5.Does the divisibility rule of 36 apply to all integers?</h3>
75
<h3>5.Does the divisibility rule of 36 apply to all integers?</h3>
76
<p>Yes, the divisibility rule of 36 applies to all<a>integers</a>.</p>
76
<p>Yes, the divisibility rule of 36 applies to all<a>integers</a>.</p>
77
<h2>Important Glossaries for Divisibility Rule of 36</h2>
77
<h2>Important Glossaries for Divisibility Rule of 36</h2>
78
<ul><li><strong>Divisibility rule:</strong>The set of rules used to find out whether a number is divisible by another number without performing division. </li>
78
<ul><li><strong>Divisibility rule:</strong>The set of rules used to find out whether a number is divisible by another number without performing division. </li>
79
<li><strong>Multiples:</strong>The results obtained after multiplying a number by an integer. For example, multiples of 36 are 36, 72, 108, etc. </li>
79
<li><strong>Multiples:</strong>The results obtained after multiplying a number by an integer. For example, multiples of 36 are 36, 72, 108, etc. </li>
80
<li><strong>Integers:</strong>Whole numbers that include positive numbers, negative numbers, and zero. </li>
80
<li><strong>Integers:</strong>Whole numbers that include positive numbers, negative numbers, and zero. </li>
81
<li><strong>Sum of digits:</strong>Adding all the digits of a number to check for divisibility, especially for rules like divisibility by 9. </li>
81
<li><strong>Sum of digits:</strong>Adding all the digits of a number to check for divisibility, especially for rules like divisibility by 9. </li>
82
<li><strong>Last two digits:</strong>The last two digits of a number, used to check divisibility by 4.</li>
82
<li><strong>Last two digits:</strong>The last two digits of a number, used to check divisibility by 4.</li>
83
</ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
83
</ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
84
<p>▶</p>
84
<p>▶</p>
85
<h2>Hiralee Lalitkumar Makwana</h2>
85
<h2>Hiralee Lalitkumar Makwana</h2>
86
<h3>About the Author</h3>
86
<h3>About the Author</h3>
87
<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>
87
<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>
88
<h3>Fun Fact</h3>
88
<h3>Fun Fact</h3>
89
<p>: She loves to read number jokes and games.</p>
89
<p>: She loves to read number jokes and games.</p>