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1 - <p>194 Learners</p>
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2 <p>Last updated on<strong>December 12, 2025</strong></p>
2 <p>Last updated on<strong>December 12, 2025</strong></p>
3 <p>Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 1021, how they are used in real life, and tips to learn them quickly.</p>
3 <p>Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 1021, how they are used in real life, and tips to learn them quickly.</p>
4 <h2>What are the Factors of 1021?</h2>
4 <h2>What are the Factors of 1021?</h2>
5 <p>The<a>numbers</a>that divide 1021 evenly are known as<a>factors</a><a>of</a>1021.</p>
5 <p>The<a>numbers</a>that divide 1021 evenly are known as<a>factors</a><a>of</a>1021.</p>
6 <p>A factor of 1021 is a number that divides the number without<a>remainder</a>.</p>
6 <p>A factor of 1021 is a number that divides the number without<a>remainder</a>.</p>
7 <p>The factors of 1021 are 1, 13, 79, and 1021.</p>
7 <p>The factors of 1021 are 1, 13, 79, and 1021.</p>
8 <p><strong>Negative factors of 1021:</strong>-1, -13, -79, and -1021.</p>
8 <p><strong>Negative factors of 1021:</strong>-1, -13, -79, and -1021.</p>
9 <p><strong>Prime factors of 1021:</strong>13 and 79.</p>
9 <p><strong>Prime factors of 1021:</strong>13 and 79.</p>
10 <p><strong>Prime factorization of 1021:</strong>13 × 79.</p>
10 <p><strong>Prime factorization of 1021:</strong>13 × 79.</p>
11 <p>The<a>sum</a>of factors of 1021: 1 + 13 + 79 + 1021 = 1114</p>
11 <p>The<a>sum</a>of factors of 1021: 1 + 13 + 79 + 1021 = 1114</p>
12 <h2>How to Find Factors of 1021?</h2>
12 <h2>How to Find Factors of 1021?</h2>
13 <p>Factors can be found using different methods. Mentioned below are some commonly used methods:</p>
13 <p>Factors can be found using different methods. Mentioned below are some commonly used methods:</p>
14 <ul><li>Finding factors using<a>multiplication</a></li>
14 <ul><li>Finding factors using<a>multiplication</a></li>
15 <li>Finding factors using<a>division</a>method</li>
15 <li>Finding factors using<a>division</a>method</li>
16 <li>Prime factors and<a>prime factorization</a></li>
16 <li>Prime factors and<a>prime factorization</a></li>
17 </ul><h3>Finding Factors Using Multiplication</h3>
17 </ul><h3>Finding Factors Using Multiplication</h3>
18 <p>To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1021. Identifying the numbers which are multiplied to get the number 1021 is the multiplication method.</p>
18 <p>To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1021. Identifying the numbers which are multiplied to get the number 1021 is the multiplication method.</p>
19 <p><strong>Step 1:</strong>Multiply 1021 by 1, 1021 × 1 = 1021.</p>
19 <p><strong>Step 1:</strong>Multiply 1021 by 1, 1021 × 1 = 1021.</p>
20 <p><strong>Step 2:</strong>Check for other numbers that give 1021 after multiplying 13 × 79 = 1021</p>
20 <p><strong>Step 2:</strong>Check for other numbers that give 1021 after multiplying 13 × 79 = 1021</p>
21 <p>Therefore, the positive factor pairs of 1021 are: (1, 1021) and (13, 79). For every positive factor, there is a negative factor.</p>
21 <p>Therefore, the positive factor pairs of 1021 are: (1, 1021) and (13, 79). For every positive factor, there is a negative factor.</p>
22 <h3>Explore Our Programs</h3>
22 <h3>Explore Our Programs</h3>
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24 <h3>Finding Factors Using Division Method</h3>
23 <h3>Finding Factors Using Division Method</h3>
25 <p>Dividing the given numbers by<a>whole numbers</a>until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method -</p>
24 <p>Dividing the given numbers by<a>whole numbers</a>until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method -</p>
26 <p><strong>Step 1:</strong>Divide 1021 by 1, 1021 ÷ 1 = 1021.</p>
25 <p><strong>Step 1:</strong>Divide 1021 by 1, 1021 ÷ 1 = 1021.</p>
27 <p><strong>Step 2:</strong>Continue dividing 1021 by the numbers until the remainder becomes 0.</p>
26 <p><strong>Step 2:</strong>Continue dividing 1021 by the numbers until the remainder becomes 0.</p>
28 <p>1021 ÷ 1 = 1021</p>
27 <p>1021 ÷ 1 = 1021</p>
29 <p>1021 ÷ 13 = 79</p>
28 <p>1021 ÷ 13 = 79</p>
30 <p>Therefore, the factors of 1021 are: 1, 13, 79, and 1021.</p>
29 <p>Therefore, the factors of 1021 are: 1, 13, 79, and 1021.</p>
31 <h3>Prime Factors and Prime Factorization</h3>
30 <h3>Prime Factors and Prime Factorization</h3>
32 <p>The factors can be found by dividing it with<a>prime numbers</a>. We can find the prime factors using the following methods:</p>
31 <p>The factors can be found by dividing it with<a>prime numbers</a>. We can find the prime factors using the following methods:</p>
33 <ul><li>Using prime factorization</li>
32 <ul><li>Using prime factorization</li>
34 <li>Using<a>factor tree</a> </li>
33 <li>Using<a>factor tree</a> </li>
35 </ul><p>Using Prime Factorization: In this process, prime factors of 1021 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>
34 </ul><p>Using Prime Factorization: In this process, prime factors of 1021 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>
36 <p>1021 ÷ 13 = 79</p>
35 <p>1021 ÷ 13 = 79</p>
37 <p>79 ÷ 79 = 1</p>
36 <p>79 ÷ 79 = 1</p>
38 <p>The prime factors of 1021 are 13 and 79.</p>
37 <p>The prime factors of 1021 are 13 and 79.</p>
39 <p>The prime factorization of 1021 is: 13 × 79.</p>
38 <p>The prime factorization of 1021 is: 13 × 79.</p>
40 <h3>Factor Tree</h3>
39 <h3>Factor Tree</h3>
41 <p>The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -</p>
40 <p>The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -</p>
42 <p><strong>Step 1:</strong>Firstly, 1021 is divided by 13 to get 79.</p>
41 <p><strong>Step 1:</strong>Firstly, 1021 is divided by 13 to get 79.</p>
43 <p><strong>Step 2:</strong>Now divide 79 by 79 to get 1.</p>
42 <p><strong>Step 2:</strong>Now divide 79 by 79 to get 1.</p>
44 <p>So, the prime factorization of 1021 is: 13 × 79.</p>
43 <p>So, the prime factorization of 1021 is: 13 × 79.</p>
45 <p><strong>Factor Pairs:</strong>Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.</p>
44 <p><strong>Factor Pairs:</strong>Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.</p>
46 <p><strong>Positive factor pairs of 1021:</strong>(1, 1021) and (13, 79).</p>
45 <p><strong>Positive factor pairs of 1021:</strong>(1, 1021) and (13, 79).</p>
47 <p><strong>Negative factor pairs of 1021:</strong>(-1, -1021) and (-13, -79).</p>
46 <p><strong>Negative factor pairs of 1021:</strong>(-1, -1021) and (-13, -79).</p>
48 <h2>Common Mistakes and How to Avoid Them in Factors of 1021</h2>
47 <h2>Common Mistakes and How to Avoid Them in Factors of 1021</h2>
49 <p>Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.</p>
48 <p>Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.</p>
 
49 + <h2>Download Worksheets</h2>
50 <h3>Problem 1</h3>
50 <h3>Problem 1</h3>
51 <p>There are 13 friends and 1021 candies. How will they divide them equally?</p>
51 <p>There are 13 friends and 1021 candies. How will they divide them equally?</p>
52 <p>Okay, lets begin</p>
52 <p>Okay, lets begin</p>
53 <p>They will get 79 candies each.</p>
53 <p>They will get 79 candies each.</p>
54 <h3>Explanation</h3>
54 <h3>Explanation</h3>
55 <p>To divide the candies equally, we need to divide the total candies by the number of friends.</p>
55 <p>To divide the candies equally, we need to divide the total candies by the number of friends.</p>
56 <p>1021/13 = 79</p>
56 <p>1021/13 = 79</p>
57 <p>Well explained 👍</p>
57 <p>Well explained 👍</p>
58 <h3>Problem 2</h3>
58 <h3>Problem 2</h3>
59 <p>A field is rectangular, the length of the field is 79 meters and the total area is 1021 square meters. Find the width?</p>
59 <p>A field is rectangular, the length of the field is 79 meters and the total area is 1021 square meters. Find the width?</p>
60 <p>Okay, lets begin</p>
60 <p>Okay, lets begin</p>
61 <p>13 meters.</p>
61 <p>13 meters.</p>
62 <h3>Explanation</h3>
62 <h3>Explanation</h3>
63 <p>To find the width of the field, we use the formula,</p>
63 <p>To find the width of the field, we use the formula,</p>
64 <p>Area = length × width</p>
64 <p>Area = length × width</p>
65 <p>1021 = 79 × width</p>
65 <p>1021 = 79 × width</p>
66 <p>To find the value of width, we need to shift 79 to the left side.</p>
66 <p>To find the value of width, we need to shift 79 to the left side.</p>
67 <p>1021/79 = width</p>
67 <p>1021/79 = width</p>
68 <p>Width = 13.</p>
68 <p>Width = 13.</p>
69 <p>Well explained 👍</p>
69 <p>Well explained 👍</p>
70 <h3>Problem 3</h3>
70 <h3>Problem 3</h3>
71 <p>There are 1021 apples and 79 baskets. How many apples will be in each basket?</p>
71 <p>There are 1021 apples and 79 baskets. How many apples will be in each basket?</p>
72 <p>Okay, lets begin</p>
72 <p>Okay, lets begin</p>
73 <p>Each basket will have 13 apples.</p>
73 <p>Each basket will have 13 apples.</p>
74 <h3>Explanation</h3>
74 <h3>Explanation</h3>
75 <p>To find the apples in each basket, divide the total apples by the baskets.</p>
75 <p>To find the apples in each basket, divide the total apples by the baskets.</p>
76 <p>1021/79 = 13</p>
76 <p>1021/79 = 13</p>
77 <p>Well explained 👍</p>
77 <p>Well explained 👍</p>
78 <h3>Problem 4</h3>
78 <h3>Problem 4</h3>
79 <p>In a class, there are 1021 students, and 13 groups. How many students are there in each group?</p>
79 <p>In a class, there are 1021 students, and 13 groups. How many students are there in each group?</p>
80 <p>Okay, lets begin</p>
80 <p>Okay, lets begin</p>
81 <p>There are 79 students in each group.</p>
81 <p>There are 79 students in each group.</p>
82 <h3>Explanation</h3>
82 <h3>Explanation</h3>
83 <p>Dividing the students by the total groups, we will get the number of students in each group.</p>
83 <p>Dividing the students by the total groups, we will get the number of students in each group.</p>
84 <p>1021/13 = 79</p>
84 <p>1021/13 = 79</p>
85 <p>Well explained 👍</p>
85 <p>Well explained 👍</p>
86 <h3>Problem 5</h3>
86 <h3>Problem 5</h3>
87 <p>1021 books need to be arranged in 13 shelves. How many books will go on each shelf?</p>
87 <p>1021 books need to be arranged in 13 shelves. How many books will go on each shelf?</p>
88 <p>Okay, lets begin</p>
88 <p>Okay, lets begin</p>
89 <p>Each of the shelves has 79 books.</p>
89 <p>Each of the shelves has 79 books.</p>
90 <h3>Explanation</h3>
90 <h3>Explanation</h3>
91 <p>Divide total books by shelves.</p>
91 <p>Divide total books by shelves.</p>
92 <p>1021/13 = 79</p>
92 <p>1021/13 = 79</p>
93 <p>Well explained 👍</p>
93 <p>Well explained 👍</p>
94 <h2>FAQs on Factors of 1021</h2>
94 <h2>FAQs on Factors of 1021</h2>
95 <h3>1.What are the factors of 1021?</h3>
95 <h3>1.What are the factors of 1021?</h3>
96 <p>1, 13, 79, and 1021 are the factors of 1021.</p>
96 <p>1, 13, 79, and 1021 are the factors of 1021.</p>
97 <h3>2.Mention the prime factors of 1021.</h3>
97 <h3>2.Mention the prime factors of 1021.</h3>
98 <p>The prime factors of 1021 are 13 × 79.</p>
98 <p>The prime factors of 1021 are 13 × 79.</p>
99 <h3>3.Is 1021 a multiple of 13?</h3>
99 <h3>3.Is 1021 a multiple of 13?</h3>
100 <h3>4.Mention the factor pairs of 1021?</h3>
100 <h3>4.Mention the factor pairs of 1021?</h3>
101 <p>(1, 1021) and (13, 79) are the factor pairs of 1021.</p>
101 <p>(1, 1021) and (13, 79) are the factor pairs of 1021.</p>
102 <h3>5.What is the square of 1021?</h3>
102 <h3>5.What is the square of 1021?</h3>
103 <p>The<a>square</a>of 1021 is 1,042,441.</p>
103 <p>The<a>square</a>of 1021 is 1,042,441.</p>
104 <h2>Important Glossaries for Factor of 1021</h2>
104 <h2>Important Glossaries for Factor of 1021</h2>
105 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1021 are 1, 13, 79, and 1021.</li>
105 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1021 are 1, 13, 79, and 1021.</li>
106 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 13 and 79 are prime factors of 1021.</li>
106 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 13 and 79 are prime factors of 1021.</li>
107 <li><strong>Factor pairs:</strong>Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 1021 are (1, 1021) and (13, 79).</li>
107 <li><strong>Factor pairs:</strong>Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 1021 are (1, 1021) and (13, 79).</li>
108 <li><strong>Multiplication method:</strong>A method used to find factors by identifying pairs of numbers that multiply to the original number.</li>
108 <li><strong>Multiplication method:</strong>A method used to find factors by identifying pairs of numbers that multiply to the original number.</li>
109 <li><strong>Division method:</strong>A method used to find factors by dividing the original number by other numbers until a remainder of zero is achieved.</li>
109 <li><strong>Division method:</strong>A method used to find factors by dividing the original number by other numbers until a remainder of zero is achieved.</li>
110 </ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
110 </ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
111 <p>▶</p>
111 <p>▶</p>
112 <h2>Hiralee Lalitkumar Makwana</h2>
112 <h2>Hiralee Lalitkumar Makwana</h2>
113 <h3>About the Author</h3>
113 <h3>About the Author</h3>
114 <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>
114 <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>
115 <h3>Fun Fact</h3>
115 <h3>Fun Fact</h3>
116 <p>: She loves to read number jokes and games.</p>
116 <p>: She loves to read number jokes and games.</p>