2 added
2 removed
Original
2026-01-01
Modified
2026-02-28
1
-
<p>344 Learners</p>
1
+
<p>389 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 420.</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 420.</p>
4
<h2>What is the Divisibility Rule of 420?</h2>
4
<h2>What is the Divisibility Rule of 420?</h2>
5
<p>The<a>divisibility rule</a>for 420 is a method by which we can find out if a<a>number</a>is divisible by 420 or not without using the<a>division</a>method. Check whether 840 is divisible by 420 with the divisibility rule.</p>
5
<p>The<a>divisibility rule</a>for 420 is a method by which we can find out if a<a>number</a>is divisible by 420 or not without using the<a>division</a>method. Check whether 840 is divisible by 420 with the divisibility rule.</p>
6
<p><strong>Step 1:</strong>Check if the number is divisible by 10. Since 840 ends in 0, it is divisible by 10.</p>
6
<p><strong>Step 1:</strong>Check if the number is divisible by 10. Since 840 ends in 0, it is divisible by 10.</p>
7
<p><strong>Step 2:</strong>Check if the number is divisible by 42. Divide 840 by 10 to get 84. Check if 84 is divisible by 42.</p>
7
<p><strong>Step 2:</strong>Check if the number is divisible by 42. Divide 840 by 10 to get 84. Check if 84 is divisible by 42.</p>
8
<p><strong>Step 3:</strong>Since 84 divided by 42 equals 2, it is divisible by 42. Therefore, 840 is divisible by 420.</p>
8
<p><strong>Step 3:</strong>Since 84 divided by 42 equals 2, it is divisible by 42. Therefore, 840 is divisible by 420.</p>
9
<p> </p>
9
<p> </p>
10
<h2>Tips and Tricks for Divisibility Rule of 420</h2>
10
<h2>Tips and Tricks for Divisibility Rule of 420</h2>
11
<p>Learning divisibility rules helps to master division. Let’s learn a few tips and tricks for the divisibility rule of 420.</p>
11
<p>Learning divisibility rules helps to master division. Let’s learn a few tips and tricks for the divisibility rule of 420.</p>
12
<h3>Know the<a>multiples</a>of 420:</h3>
12
<h3>Know the<a>multiples</a>of 420:</h3>
13
<p>Memorize the multiples of 420 (420, 840, 1260, 1680, etc.) to quickly check divisibility. If the result from the division is a<a>whole number</a>, then the original number is divisible by 420.</p>
13
<p>Memorize the multiples of 420 (420, 840, 1260, 1680, etc.) to quickly check divisibility. If the result from the division is a<a>whole number</a>, then the original number is divisible by 420.</p>
14
<h3>Break down the rule:</h3>
14
<h3>Break down the rule:</h3>
15
<p>Remember that a number is divisible by 420 if it is divisible by both 10 and 42. Check these smaller divisibility rules separately.</p>
15
<p>Remember that a number is divisible by 420 if it is divisible by both 10 and 42. Check these smaller divisibility rules separately.</p>
16
<h3>Repeat the process for large numbers:</h3>
16
<h3>Repeat the process for large numbers:</h3>
17
<p>For large numbers, break them down step-by-step to check divisibility. For example, check if 1680 is divisible by 420. First, confirm it ends in 0, then check if 168 is divisible by 42. Since 168 divided by 42 equals 4, 1680 is divisible by 420.</p>
17
<p>For large numbers, break them down step-by-step to check divisibility. For example, check if 1680 is divisible by 420. First, confirm it ends in 0, then check if 168 is divisible by 42. Since 168 divided by 42 equals 4, 1680 is divisible by 420.</p>
18
<h3>Use the division method to verify:</h3>
18
<h3>Use the division method to verify:</h3>
19
<p>Use the division method as a way to verify and crosscheck the results. This will help confirm<a>accuracy</a>and understanding. </p>
19
<p>Use the division method as a way to verify and crosscheck the results. This will help confirm<a>accuracy</a>and understanding. </p>
20
<h2>Common Mistakes and How to Avoid Them in Divisibility Rule of 420</h2>
20
<h2>Common Mistakes and How to Avoid Them in Divisibility Rule of 420</h2>
21
<p>The divisibility rule of 420 helps us to quickly check if a given number is divisible by 420, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.</p>
21
<p>The divisibility rule of 420 helps us to quickly check if a given number is divisible by 420, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.</p>
22
<h3>Explore Our Programs</h3>
22
<h3>Explore Our Programs</h3>
23
-
<p>No Courses Available</p>
23
+
<h2>Download Worksheets</h2>
24
<h3>Problem 1</h3>
24
<h3>Problem 1</h3>
25
<p>Is the number of guests, 840, divisible by 420?</p>
25
<p>Is the number of guests, 840, divisible by 420?</p>
26
<p>Okay, lets begin</p>
26
<p>Okay, lets begin</p>
27
<p>Yes, 840 is divisible by 420.</p>
27
<p>Yes, 840 is divisible by 420.</p>
28
<h3>Explanation</h3>
28
<h3>Explanation</h3>
29
<p>To verify if 840 is divisible by 420, we check the divisibility by 4, 3, and 5 (since 420 = 4 x 3 x 5 x 7, and 7 is already checked when confirming 3 and 5).</p>
29
<p>To verify if 840 is divisible by 420, we check the divisibility by 4, 3, and 5 (since 420 = 4 x 3 x 5 x 7, and 7 is already checked when confirming 3 and 5).</p>
30
<p>1) Check divisibility by 4: The last two digits of 840 are 40, which is divisible by 4.</p>
30
<p>1) Check divisibility by 4: The last two digits of 840 are 40, which is divisible by 4.</p>
31
<p>2) Check divisibility by 3: The sum of the digits is 8 + 4 + 0 = 12, which is divisible by 3.</p>
31
<p>2) Check divisibility by 3: The sum of the digits is 8 + 4 + 0 = 12, which is divisible by 3.</p>
32
<p>3) Check divisibility by 5: The last digit is 0, which is divisible by 5.</p>
32
<p>3) Check divisibility by 5: The last digit is 0, which is divisible by 5.</p>
33
<p>4) Since 840 is divisible by 4, 3, and 5, it is divisible by 420.</p>
33
<p>4) Since 840 is divisible by 4, 3, and 5, it is divisible by 420.</p>
34
<p>Well explained 👍</p>
34
<p>Well explained 👍</p>
35
<h3>Problem 2</h3>
35
<h3>Problem 2</h3>
36
<p>A shipment of 1260 items needs to be divided equally into boxes of 420. Is this possible?</p>
36
<p>A shipment of 1260 items needs to be divided equally into boxes of 420. Is this possible?</p>
37
<p>Okay, lets begin</p>
37
<p>Okay, lets begin</p>
38
<p>Yes, 1260 is divisible by 420. </p>
38
<p>Yes, 1260 is divisible by 420. </p>
39
<h3>Explanation</h3>
39
<h3>Explanation</h3>
40
<p>To determine if 1260 can be divided equally into boxes of 420, we check divisibility by 4, 3, and 5.</p>
40
<p>To determine if 1260 can be divided equally into boxes of 420, we check divisibility by 4, 3, and 5.</p>
41
<p>1) Check divisibility by 4: The last two digits of 1260 are 60, which is divisible by 4.</p>
41
<p>1) Check divisibility by 4: The last two digits of 1260 are 60, which is divisible by 4.</p>
42
<p>2) Check divisibility by 3: The sum of the digits is 1 + 2 + 6 + 0 = 9, which is divisible by 3.</p>
42
<p>2) Check divisibility by 3: The sum of the digits is 1 + 2 + 6 + 0 = 9, which is divisible by 3.</p>
43
<p>3) Check divisibility by 5: The last digit is 0, which is divisible by 5.</p>
43
<p>3) Check divisibility by 5: The last digit is 0, which is divisible by 5.</p>
44
<p>4) Since 1260 is divisible by 4, 3, and 5, it is divisible by 420.</p>
44
<p>4) Since 1260 is divisible by 4, 3, and 5, it is divisible by 420.</p>
45
<p>Well explained 👍</p>
45
<p>Well explained 👍</p>
46
<h3>Problem 3</h3>
46
<h3>Problem 3</h3>
47
<p>A factory produces 210 products per day and wants to package them in boxes of 420. Can they do this at the end of two days?</p>
47
<p>A factory produces 210 products per day and wants to package them in boxes of 420. Can they do this at the end of two days?</p>
48
<p>Okay, lets begin</p>
48
<p>Okay, lets begin</p>
49
<p>Yes, 420 is divisible by 420.</p>
49
<p>Yes, 420 is divisible by 420.</p>
50
<h3>Explanation</h3>
50
<h3>Explanation</h3>
51
<p>To check if 420 products can be packaged in boxes of 420, verify divisibility by 4, 3, and 5.</p>
51
<p>To check if 420 products can be packaged in boxes of 420, verify divisibility by 4, 3, and 5.</p>
52
<p>1) Check divisibility by 4: The last two digits 20 are not divisible by 4. However, because 420 is an exact number, the divisibility is inherently true (420/420 = 1).</p>
52
<p>1) Check divisibility by 4: The last two digits 20 are not divisible by 4. However, because 420 is an exact number, the divisibility is inherently true (420/420 = 1).</p>
53
<p>2) Check divisibility by 3: The sum of the digits is 4 + 2 + 0 = 6, which is divisible by 3.</p>
53
<p>2) Check divisibility by 3: The sum of the digits is 4 + 2 + 0 = 6, which is divisible by 3.</p>
54
<p>3) Check divisibility by 5: The last digit is 0, which is divisible by 5.</p>
54
<p>3) Check divisibility by 5: The last digit is 0, which is divisible by 5.</p>
55
<p>4) Since the conditions for divisibility by 420 are met (and it's the whole number itself), the packaging is possible.</p>
55
<p>4) Since the conditions for divisibility by 420 are met (and it's the whole number itself), the packaging is possible.</p>
56
<p>Well explained 👍</p>
56
<p>Well explained 👍</p>
57
<h3>Problem 4</h3>
57
<h3>Problem 4</h3>
58
<p>An event planner has 126 chairs and wants to organize them into groups of 420 for a large event. Is this feasible?</p>
58
<p>An event planner has 126 chairs and wants to organize them into groups of 420 for a large event. Is this feasible?</p>
59
<p>Okay, lets begin</p>
59
<p>Okay, lets begin</p>
60
<p>No, 126 is not divisible by 420.</p>
60
<p>No, 126 is not divisible by 420.</p>
61
<h3>Explanation</h3>
61
<h3>Explanation</h3>
62
<p>To determine if 126 can be grouped into 420, check divisibility by 4, 3, and 5.</p>
62
<p>To determine if 126 can be grouped into 420, check divisibility by 4, 3, and 5.</p>
63
<p>1) Check divisibility by 4: The last two digits are 26, which is not divisible by 4.</p>
63
<p>1) Check divisibility by 4: The last two digits are 26, which is not divisible by 4.</p>
64
<p>2) Check divisibility by 3: The sum of the digits is 1 + 2 + 6 = 9, which is divisible by 3.</p>
64
<p>2) Check divisibility by 3: The sum of the digits is 1 + 2 + 6 = 9, which is divisible by 3.</p>
65
<p>3) Check divisibility by 5: The last digit is 6, which is not divisible by 5.</p>
65
<p>3) Check divisibility by 5: The last digit is 6, which is not divisible by 5.</p>
66
<p>4) Since 126 is not divisible by 4 and 5, it is not divisible by 420.</p>
66
<p>4) Since 126 is not divisible by 4 and 5, it is not divisible by 420.</p>
67
<p>Well explained 👍</p>
67
<p>Well explained 👍</p>
68
<h3>Problem 5</h3>
68
<h3>Problem 5</h3>
69
<p>A bakery produces 2100 cupcakes. Can they be packed into boxes of 420 cupcakes each?</p>
69
<p>A bakery produces 2100 cupcakes. Can they be packed into boxes of 420 cupcakes each?</p>
70
<p>Okay, lets begin</p>
70
<p>Okay, lets begin</p>
71
<p>Yes, 2100 is divisible by 420.</p>
71
<p>Yes, 2100 is divisible by 420.</p>
72
<h3>Explanation</h3>
72
<h3>Explanation</h3>
73
<p>To verify if 2100 can be packed into boxes of 420, we check divisibility by 4, 3, and 5.</p>
73
<p>To verify if 2100 can be packed into boxes of 420, we check divisibility by 4, 3, and 5.</p>
74
<p>1) Check divisibility by 4: The last two digits of 2100 are 00, which is divisible by 4.</p>
74
<p>1) Check divisibility by 4: The last two digits of 2100 are 00, which is divisible by 4.</p>
75
<p>2) Check divisibility by 3: The sum of the digits is 2 + 1 + 0 + 0 = 3, which is divisible by 3.</p>
75
<p>2) Check divisibility by 3: The sum of the digits is 2 + 1 + 0 + 0 = 3, which is divisible by 3.</p>
76
<p>3) Check divisibility by 5: The last digit is 0, which is divisible by 5.</p>
76
<p>3) Check divisibility by 5: The last digit is 0, which is divisible by 5.</p>
77
<p>4) Since 2100 is divisible by 4, 3, and 5, it is divisible by 420.</p>
77
<p>4) Since 2100 is divisible by 4, 3, and 5, it is divisible by 420.</p>
78
<p>Well explained 👍</p>
78
<p>Well explained 👍</p>
79
<h2>FAQs on Divisibility Rule of 420</h2>
79
<h2>FAQs on Divisibility Rule of 420</h2>
80
<h3>1.What is the divisibility rule for 420?</h3>
80
<h3>1.What is the divisibility rule for 420?</h3>
81
<p>The divisibility rule for 420 involves checking if the number is divisible by both 10 and 42.</p>
81
<p>The divisibility rule for 420 involves checking if the number is divisible by both 10 and 42.</p>
82
<h3>2.How many numbers are there between 1 and 2000 that are divisible by 420?</h3>
82
<h3>2.How many numbers are there between 1 and 2000 that are divisible by 420?</h3>
83
<p>There are 4 numbers that can be divided by 420 between 1 and 2000. The numbers are 420, 840, 1260, and 1680.</p>
83
<p>There are 4 numbers that can be divided by 420 between 1 and 2000. The numbers are 420, 840, 1260, and 1680.</p>
84
<h3>3.Is 1260 divisible by 420?</h3>
84
<h3>3.Is 1260 divisible by 420?</h3>
85
<p>Yes, because 1260 is a multiple of 420 (420 × 3 = 1260).</p>
85
<p>Yes, because 1260 is a multiple of 420 (420 × 3 = 1260).</p>
86
<h3>4.What if a number ends in a digit other than 0?</h3>
86
<h3>4.What if a number ends in a digit other than 0?</h3>
87
<p>If a number does not end in 0, it is not divisible by 420.</p>
87
<p>If a number does not end in 0, it is not divisible by 420.</p>
88
<h3>5.Does the divisibility rule of 420 apply to all integers?</h3>
88
<h3>5.Does the divisibility rule of 420 apply to all integers?</h3>
89
<p>Yes, the divisibility rule of 420 applies to all<a>integers</a>.</p>
89
<p>Yes, the divisibility rule of 420 applies to all<a>integers</a>.</p>
90
<h2>Important Glossaries for Divisibility Rule of 420</h2>
90
<h2>Important Glossaries for Divisibility Rule of 420</h2>
91
<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>
91
<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>
92
<li><strong>Multiples:</strong>Multiples are the results we get after multiplying a number by an integer. For example, multiples of 420 are 420, 840, 1260, etc. </li>
92
<li><strong>Multiples:</strong>Multiples are the results we get after multiplying a number by an integer. For example, multiples of 420 are 420, 840, 1260, etc. </li>
93
<li><strong>Integers:</strong>Integers are numbers that include all whole numbers, negative numbers, and zero. </li>
93
<li><strong>Integers:</strong>Integers are numbers that include all whole numbers, negative numbers, and zero. </li>
94
<li><strong>Subtraction:</strong>Subtraction is a process of finding the difference between two numbers by reducing one number from another. </li>
94
<li><strong>Subtraction:</strong>Subtraction is a process of finding the difference between two numbers by reducing one number from another. </li>
95
<li><strong>Division:</strong>Division is a mathematical operation where a number is evenly distributed into equal parts or groups. </li>
95
<li><strong>Division:</strong>Division is a mathematical operation where a number is evenly distributed into equal parts or groups. </li>
96
</ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
96
</ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
97
<p>▶</p>
97
<p>▶</p>
98
<h2>Hiralee Lalitkumar Makwana</h2>
98
<h2>Hiralee Lalitkumar Makwana</h2>
99
<h3>About the Author</h3>
99
<h3>About the Author</h3>
100
<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>
100
<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>
101
<h3>Fun Fact</h3>
101
<h3>Fun Fact</h3>
102
<p>: She loves to read number jokes and games.</p>
102
<p>: She loves to read number jokes and games.</p>