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2 <p>Last updated on<strong>December 15, 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 1052, how they are used in real life, and tips to learn them quickly.</p>

4 <h2>What are the Factors of 1052?</h2>

5 <p>The<a>numbers</a>that divide 1052 evenly are known as<a>factors</a><a>of</a>1052.</p>

6 <p>A factor of 1052 is a number that divides the number without<a>remainder</a>.</p>

7 <p>The factors of 1052 are 1, 2, 4, 263, 526, and 1052.</p>

8 <p><strong>Negative factors of 1052:</strong>-1, -2, -4, -263, -526, and -1052.</p>

9 <p><strong>Prime factors of 1052:</strong>2 and 263.</p>

10 <p><strong>Prime factorization of 1052:</strong>2² × 263.</p>

11 <p>The<a>sum</a>of factors of 1052: 1 + 2 + 4 + 263 + 526 + 1052 = 1848</p>

12 <h2>How to Find Factors of 1052?</h2>

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>

15 <li>Finding factors using<a>division</a>method</li>

16 <li>Prime factors and Prime factorization</li>

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 1052. Identifying the numbers which are multiplied to get the number 1052 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply 1052 by 1, 1052 × 1 = 1052.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give 1052 after multiplying</p>

21 <p>2 × 526 = 1052</p>

22 <p>4 × 263 = 1052</p>

23 <p>Therefore, the positive factor pairs of 1052 are: (1, 1052), (2, 526), (4, 263). All these factor pairs result in 1052. For every positive factor, there is a negative factor.</p>

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26 <h3>Finding Factors Using Division Method</h3>

25 <h3>Finding Factors Using Division Method</h3>

27 <p>Dividing the given numbers with<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>Dividing the given numbers with<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>

28 <p><strong>Step 1:</strong>Divide 1052 by 1, 1052 ÷ 1 = 1052.</p>

27 <p><strong>Step 1:</strong>Divide 1052 by 1, 1052 ÷ 1 = 1052.</p>

29 <p><strong>Step 2:</strong>Continue dividing 1052 by the numbers until the remainder becomes 0.</p>

28 <p><strong>Step 2:</strong>Continue dividing 1052 by the numbers until the remainder becomes 0.</p>

30 <p>1052 ÷ 1 = 1052</p>

29 <p>1052 ÷ 1 = 1052</p>

31 <p>1052 ÷ 2 = 526</p>

30 <p>1052 ÷ 2 = 526</p>

32 <p>1052 ÷ 4 = 263</p>

31 <p>1052 ÷ 4 = 263</p>

33 <p>Therefore, the factors of 1052 are: 1, 2, 4, 263, 526, 1052.</p>

32 <p>Therefore, the factors of 1052 are: 1, 2, 4, 263, 526, 1052.</p>

34 <h3>Prime Factors and Prime Factorization</h3>

33 <h3>Prime Factors and Prime Factorization</h3>

35 <p>The factors can be found by dividing it with<a>prime numbers</a>. We can find the<a>prime factors</a>using the following methods:</p>

34 <p>The factors can be found by dividing it with<a>prime numbers</a>. We can find the<a>prime factors</a>using the following methods:</p>

36 <ul><li>Using prime factorization</li>

35 <ul><li>Using prime factorization</li>

37 <li>Using<a>factor tree</a></li>

36 <li>Using<a>factor tree</a></li>

38 </ul><p>Using Prime Factorization: In this process, prime factors of 1052 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

37 </ul><p>Using Prime Factorization: In this process, prime factors of 1052 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

39 <p>1052 ÷ 2 = 526</p>

38 <p>1052 ÷ 2 = 526</p>

40 <p>526 ÷ 2 = 263</p>

39 <p>526 ÷ 2 = 263</p>

41 <p>263 ÷ 263 = 1</p>

40 <p>263 ÷ 263 = 1</p>

42 <p>The prime factors of 1052 are 2 and 263.</p>

41 <p>The prime factors of 1052 are 2 and 263.</p>

43 <p>The prime factorization of 1052 is: 2² × 263.</p>

42 <p>The prime factorization of 1052 is: 2² × 263.</p>

44 <h3>Factor Tree</h3>

43 <h3>Factor Tree</h3>

45 <p>The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -</p>

44 <p>The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -</p>

46 <p><strong>Step 1:</strong>Firstly, 1052 is divided by 2 to get 526.</p>

45 <p><strong>Step 1:</strong>Firstly, 1052 is divided by 2 to get 526.</p>

47 <p><strong>Step 2:</strong>Now divide 526 by 2 to get 263. Step 3: Here, 263 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1052 is: 2² × 263</p>

46 <p><strong>Step 2:</strong>Now divide 526 by 2 to get 263. Step 3: Here, 263 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1052 is: 2² × 263</p>

48 <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>

47 <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>

49 <p><strong>Positive factor pairs of 1052:</strong>(1, 1052), (2, 526), (4, 263).</p>

48 <p><strong>Positive factor pairs of 1052:</strong>(1, 1052), (2, 526), (4, 263).</p>

50 <p><strong>Negative factor pairs of 1052:</strong>(-1, -1052), (-2, -526), (-4, -263).</p>

49 <p><strong>Negative factor pairs of 1052:</strong>(-1, -1052), (-2, -526), (-4, -263).</p>

51 <h2>Common Mistakes and How to Avoid Them in Factors of 1052</h2>

50 <h2>Common Mistakes and How to Avoid Them in Factors of 1052</h2>

52 <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>

51 <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>

52 + <h2>Download Worksheets</h2>

53 <h3>Problem 1</h3>

54 <p>There are 263 students and 1052 pencils. How will they divide it equally?</p>

55 <p>Okay, lets begin</p>

56 <p>They will get 4 pencils each.</p>

57 <h3>Explanation</h3>

58 <p>To divide the pencils equally, we need to divide the total pencils by the number of students.</p>

59 <p>1052/263 = 4</p>

60 <p>Well explained 👍</p>

61 <h3>Problem 2</h3>

62 <p>A rectangular garden has a length of 4 meters, and the total area is 1052 square meters. Find the width.</p>

63 <p>Okay, lets begin</p>

64 <p>263 meters.</p>

65 <h3>Explanation</h3>

66 <p>To find the width of the garden, we use the formula,</p>

67 <p>Area = length × width</p>

68 <p>1052 = 4 × width</p>

69 <p>To find the value of width, we need to shift 4 to the left side.</p>

70 <p>1052/4 = width</p>

71 <p>Width = 263.</p>

72 <p>Well explained 👍</p>

73 <h3>Problem 3</h3>

74 <p>There are 526 boxes and 1052 candies. How many candies will be in each box?</p>

75 <p>Okay, lets begin</p>

76 <p>Each box will have 2 candies.</p>

77 <h3>Explanation</h3>

78 <p>To find the candies in each box, divide the total candies by the boxes.</p>

79 <p>1052/526 = 2</p>

80 <p>Well explained 👍</p>

81 <h3>Problem 4</h3>

82 <p>In a factory, there are 1052 workers, and 263 teams. How many workers are there in each team?</p>

83 <p>Okay, lets begin</p>

84 <p>There are 4 workers in each team.</p>

85 <h3>Explanation</h3>

86 <p>Dividing the workers by the total teams, we will get the number of workers in each team.</p>

87 <p>1052/263 = 4</p>

88 <p>Well explained 👍</p>

89 <h3>Problem 5</h3>

90 <p>1052 books need to be arranged in 4 shelves. How many books will go on each shelf?</p>

91 <p>Okay, lets begin</p>

92 <p>Each of the shelves has 263 books.</p>

93 <h3>Explanation</h3>

94 <p>Divide total books with shelves.</p>

95 <p>1052/4 = 263</p>

96 <p>Well explained 👍</p>

97 <h2>FAQs on Factors of 1052</h2>

98 <h3>1.What are the factors of 1052?</h3>

99 <p>1, 2, 4, 263, 526, 1052 are the factors of 1052.</p>

100 <h3>2.Mention the prime factors of 1052.</h3>

101 <p>The prime factors of 1052 are 2² × 263.</p>

102 <h3>3.Is 1052 a multiple of 4?</h3>

103 <h3>4.Mention the factor pairs of 1052?</h3>

104 <p>(1, 1052), (2, 526), (4, 263) are the factor pairs of 1052.</p>

105 <h3>5.What is the square of 1052?</h3>

106 <p>The<a>square</a>of 1052 is 1,106,704.</p>

107 <h2>Important Glossaries for Factor of 1052</h2>

108 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1052 are 1, 2, 4, 263, 526, and 1052.</li>

109 <li><strong>Prime factors</strong>: The factors which are prime numbers. For example, 2 and 263 are prime factors of 1052.</li>

110 <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 1052 are (1, 1052), (2, 526), etc.</li>

111 <li><strong>Prime factorization:</strong>Breaking down a number into its prime factors. For example, 1052 = 2² × 263.</li>

112 <li><strong>Multiple:</strong>A number that can be divided by another number without a remainder. For example, 1052 is a multiple of 4.</li>

113 </ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>

114 <p>▶</p>

115 <h2>Hiralee Lalitkumar Makwana</h2>

116 <h3>About the Author</h3>

117 <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>

118 <h3>Fun Fact</h3>

119 <p>: She loves to read number jokes and games.</p>