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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 1352, how they are used in real life, and tips to learn them quickly.</p>

4 <h2>What are the Factors of 1352?</h2>

5 <p>The<a>numbers</a>that divide 1352 evenly are known as<a>factors</a><a>of</a>1352.</p>

6 <p>A factor of 1352 is a number that divides the number without<a>remainder</a>.</p>

7 <p>The factors of 1352 are 1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, 1352.</p>

8 <p><strong>Negative factors of 1352:</strong>-1, -2, -4, -8, -13, -26, -52, -104, -169, -338, -676, -1352.</p>

9 <p><strong>Prime factors of 1352:</strong>2 and 13.</p>

10 <p><strong>Prime factorization of 1352:</strong>2³ × 13².</p>

11 <p>The<a>sum</a>of factors of 1352: 1 + 2 + 4 + 8 + 13 + 26 + 52 + 104 + 169 + 338 + 676 + 1352 = 2745</p>

12 <h2>How to Find Factors of 1352?</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 1352. Identifying the numbers which are multiplied to get the number 1352 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply 1352 by 1, 1352 × 1 = 1352.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give 1352 after multiplying</p>

21 <p>2 × 676 = 1352</p>

22 <p>4 × 338 = 1352</p>

23 <p>8 × 169 = 1352</p>

24 <p>13 × 104 = 1352</p>

25 <p>26 × 52 = 1352</p>

26 <p>Therefore, the positive factor pairs of 1352 are: (1, 1352), (2, 676), (4, 338), (8, 169), (13, 104), (26, 52).</p>

27 <p>For every positive factor, there is a negative factor.</p>

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

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

31 <p>Dividing the given numbers with the<a>whole numbers</a>until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following the simple division method</p>

30 <p>Dividing the given numbers with the<a>whole numbers</a>until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following the simple division method</p>

32 <p><strong>Step 1:</strong>Divide 1352 by 1, 1352 ÷ 1 = 1352.</p>

31 <p><strong>Step 1:</strong>Divide 1352 by 1, 1352 ÷ 1 = 1352.</p>

33 <p><strong>Step 2:</strong>Continue dividing 1352 by the numbers until the remainder becomes 0.</p>

32 <p><strong>Step 2:</strong>Continue dividing 1352 by the numbers until the remainder becomes 0.</p>

34 <p>1352 ÷ 1 = 1352</p>

33 <p>1352 ÷ 1 = 1352</p>

35 <p>1352 ÷ 2 = 676</p>

34 <p>1352 ÷ 2 = 676</p>

36 <p>1352 ÷ 4 = 338</p>

35 <p>1352 ÷ 4 = 338</p>

37 <p>1352 ÷ 8 = 169</p>

36 <p>1352 ÷ 8 = 169</p>

38 <p>1352 ÷ 13 = 104</p>

37 <p>1352 ÷ 13 = 104</p>

39 <p>1352 ÷ 26 = 52</p>

38 <p>1352 ÷ 26 = 52</p>

40 <p>Therefore, the factors of 1352 are: 1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, 1352.</p>

39 <p>Therefore, the factors of 1352 are: 1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, 1352.</p>

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

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

42 <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>

41 <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>

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

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

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

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

45 </ul><p>Using Prime Factorization: In this process, prime factors of 1352 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

44 </ul><p>Using Prime Factorization: In this process, prime factors of 1352 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

46 <p>1352 ÷ 2 = 676</p>

45 <p>1352 ÷ 2 = 676</p>

47 <p>676 ÷ 2 = 338</p>

46 <p>676 ÷ 2 = 338</p>

48 <p>338 ÷ 2 = 169</p>

47 <p>338 ÷ 2 = 169</p>

49 <p>169 ÷ 13 = 13</p>

48 <p>169 ÷ 13 = 13</p>

50 <p>13 ÷ 13 = 1</p>

49 <p>13 ÷ 13 = 1</p>

51 <p>The prime factors of 1352 are 2 and 13.</p>

50 <p>The prime factors of 1352 are 2 and 13.</p>

52 <p>The prime factorization of 1352 is: 2³ × 13².</p>

51 <p>The prime factorization of 1352 is: 2³ × 13².</p>

53 <h2>Factor Tree</h2>

52 <h2>Factor Tree</h2>

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

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

55 <p><strong>Step 1:</strong>Firstly, 1352 is divided by 2 to get 676.</p>

54 <p><strong>Step 1:</strong>Firstly, 1352 is divided by 2 to get 676.</p>

56 <p><strong>Step 2:</strong>Now divide 676 by 2 to get 338.</p>

55 <p><strong>Step 2:</strong>Now divide 676 by 2 to get 338.</p>

57 <p><strong>Step 3:</strong>Then divide 338 by 2 to get 169.</p>

56 <p><strong>Step 3:</strong>Then divide 338 by 2 to get 169.</p>

58 <p><strong>Step 4:</strong>Divide 169 by 13 to get 13. Here, 13 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1352 is: 2³ × 13².</p>

57 <p><strong>Step 4:</strong>Divide 169 by 13 to get 13. Here, 13 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1352 is: 2³ × 13².</p>

59 <p><strong>Factor Pairs</strong>Two numbers that are multiplied to give a specific number are called factor pairs.</p>

58 <p><strong>Factor Pairs</strong>Two numbers that are multiplied to give a specific number are called factor pairs.</p>

60 <p>Both positive and negative factors constitute factor pairs.</p>

59 <p>Both positive and negative factors constitute factor pairs.</p>

61 <p>Positive factor pairs of 1352: (1, 1352), (2, 676), (4, 338), (8, 169), (13, 104), (26, 52).</p>

60 <p>Positive factor pairs of 1352: (1, 1352), (2, 676), (4, 338), (8, 169), (13, 104), (26, 52).</p>

62 <p>Negative factor pairs of 1352: (-1, -1352), (-2, -676), (-4, -338), (-8, -169), (-13, -104), (-26, -52).</p>

61 <p>Negative factor pairs of 1352: (-1, -1352), (-2, -676), (-4, -338), (-8, -169), (-13, -104), (-26, -52).</p>

63 <h2>Common Mistakes and How to Avoid Them in Factors of 1352</h2>

62 <h2>Common Mistakes and How to Avoid Them in Factors of 1352</h2>

64 <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>

63 <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>

64 + <h2>Download Worksheets</h2>

65 <h3>Problem 1</h3>

66 <p>There are 676 apples and 2 baskets. How will they divide the apples equally?</p>

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

68 <p>They will get 338 apples each.</p>

69 <h3>Explanation</h3>

70 <p>To divide the apples equally, we need to divide the total apples with the number of baskets.</p>

71 <p>676/2 = 338</p>

72 <p>Well explained 👍</p>

73 <h3>Problem 2</h3>

74 <p>A swimming pool is rectangular, the length of the pool is 13 meters and the total area is 1352 square meters. Find the width?</p>

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

76 <p>104 meters.</p>

77 <h3>Explanation</h3>

78 <p>To find the width of the pool, we use the formula,</p>

79 <p>Area = length × width</p>

80 <p>1352 = 13 × width</p>

81 <p>To find the value of the width, we need to shift 13 to the left side.</p>

82 <p>1352/13 = width</p>

83 <p>Width = 104.</p>

84 <p>Well explained 👍</p>

85 <h3>Problem 3</h3>

86 <p>There are 26 bins and 1352 liters of water. How many liters will be in each bin?</p>

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

88 <p>Each bin will have 52 liters.</p>

89 <h3>Explanation</h3>

90 <p>To find the liters in each bin, divide the total liters with the bins.</p>

91 <p>1352/26 = 52</p>

92 <p>Well explained 👍</p>

93 <h3>Problem 4</h3>

94 <p>In a conference, there are 1352 attendees, and 8 rooms. How many attendees are there in each room?</p>

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

96 <p>There are 169 attendees in each room.</p>

97 <h3>Explanation</h3>

98 <p>Dividing the attendees with the total rooms, we will get the number of attendees in each room.</p>

99 <p>1352/8 = 169</p>

100 <p>Well explained 👍</p>

101 <h3>Problem 5</h3>

102 <p>1352 books need to be arranged in 52 shelves. How many books will go on each shelf?</p>

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

104 <p>Each of the shelves has 26 books.</p>

105 <h3>Explanation</h3>

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

107 <p>1352/52 = 26</p>

108 <p>Well explained 👍</p>

109 <h2>FAQs on Factors of 1352</h2>

110 <h3>1.What are the factors of 1352?</h3>

111 <p>1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, 1352 are the factors of 1352.</p>

112 <h3>2.Mention the prime factors of 1352.</h3>

113 <p>The prime factors of 1352 are 2³ × 13².</p>

114 <h3>3.Is 1352 a multiple of 4?</h3>

115 <h3>4.Mention the factor pairs of 1352?</h3>

116 <p>(1, 1352), (2, 676), (4, 338), (8, 169), (13, 104), (26, 52) are the factor pairs of 1352.</p>

117 <h3>5.What is the square of 1352?</h3>

118 <p>The<a>square</a>of 1352 is 1,828,704.</p>

119 <h2>Important Glossaries for Factor of 1352</h2>

120 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1352 are 1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, and 1352. </li>

121 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 2 and 13 are prime factors of 1352. </li>

122 <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 1352 are (1, 1352), (2, 676), etc. </li>

123 <li><strong>Prime factorization:</strong>The expression of a number as the product of its prime factors. For 1352, it is 2³ × 13². </li>

124 <li><strong>Division method:</strong>A technique used to find factors of a number by dividing it by other numbers to check for zero remainders, confirming those numbers as factors.</li>

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

126 <p>▶</p>

127 <h2>Hiralee Lalitkumar Makwana</h2>

128 <h3>About the Author</h3>

129 <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>

130 <h3>Fun Fact</h3>

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