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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 the items equally, arranging things, etc. In this topic, we will learn about the factors of 1072, how they are used in real life, and the tips to learn them quickly.</p>

4 <h2>What are the Factors of 1072?</h2>

5 <p>The<a>numbers</a>that divide 1072 evenly are known as<a>factors</a>of 1072.</p>

6 <p>A factor of 1072 is a number that divides the number without<a>remainder</a>.</p>

7 <p>The factors of 1072 are 1, 2, 4, 8, 16, 67, 134, 268, 536, and 1072.</p>

8 <p><strong>Negative factors of 1072:</strong>-1, -2, -4, -8, -16, -67, -134, -268, -536, and -1072.</p>

9 <p><strong>Prime factors of 1072:</strong>2 and 67.</p>

10 <p><strong>Prime factorization of 1072:</strong>2^4 × 67.</p>

11 <p>The<a>sum</a>of factors of 1072: 1 + 2 + 4 + 8 + 16 + 67 + 134 + 268 + 536 + 1072 = 2108</p>

12 <h2>How to Find Factors of 1072?</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 1072. Identifying the numbers which are multiplied to get the number 1072 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply 1072 by 1, 1072 × 1 = 1072.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give 1072 after multiplying </p>

21 <p> 2 × 536 = 1072 </p>

22 <p>4 × 268 = 1072 </p>

23 <p>8 × 134 = 1072 </p>

24 <p>16 × 67 = 1072</p>

25 <p>Therefore, the positive factor pairs of 1072 are: (1, 1072), (2, 536), (4, 268), (8, 134), (16, 67).</p>

26 <p>All these factor pairs result in 1072.</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 as whole numbers as factors. Factors can be calculated by following a 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 as whole numbers as factors. Factors can be calculated by following a simple division method -</p>

32 <p><strong>Step 1:</strong>Divide 1072 by 1, 1072 ÷ 1 = 1072.</p>

31 <p><strong>Step 1:</strong>Divide 1072 by 1, 1072 ÷ 1 = 1072.</p>

33 <p><strong>Step 2:</strong>Continue dividing 1072 by the numbers until the remainder becomes 0.</p>

32 <p><strong>Step 2:</strong>Continue dividing 1072 by the numbers until the remainder becomes 0.</p>

34 <p>1072 ÷ 1 = 1072</p>

33 <p>1072 ÷ 1 = 1072</p>

35 <p>1072 ÷ 2 = 536</p>

34 <p>1072 ÷ 2 = 536</p>

36 <p>1072 ÷ 4 = 268</p>

35 <p>1072 ÷ 4 = 268</p>

37 <p>1072 ÷ 8 = 134</p>

36 <p>1072 ÷ 8 = 134</p>

38 <p>1072 ÷ 16 = 67</p>

37 <p>1072 ÷ 16 = 67</p>

39 <p>Therefore, the factors of 1072 are: 1, 2, 4, 8, 16, 67, 134, 268, 536, 1072.</p>

38 <p>Therefore, the factors of 1072 are: 1, 2, 4, 8, 16, 67, 134, 268, 536, 1072.</p>

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

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

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>

40 <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>

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

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

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

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

44 </ul><p>Using Prime Factorization: In this process, prime factors of 1072 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

43 </ul><p>Using Prime Factorization: In this process, prime factors of 1072 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

45 <p>1072 ÷ 2 = 536</p>

44 <p>1072 ÷ 2 = 536</p>

46 <p>536 ÷ 2 = 268</p>

45 <p>536 ÷ 2 = 268</p>

47 <p>268 ÷ 2 = 134</p>

46 <p>268 ÷ 2 = 134</p>

48 <p>134 ÷ 2 = 67</p>

47 <p>134 ÷ 2 = 67</p>

49 <p>67 ÷ 67 = 1</p>

48 <p>67 ÷ 67 = 1</p>

50 <p>The prime factors of 1072 are 2 and 67.</p>

49 <p>The prime factors of 1072 are 2 and 67.</p>

51 <p>The prime factorization of 1072 is: 2^4 × 67.</p>

50 <p>The prime factorization of 1072 is: 2^4 × 67.</p>

52 <h3>Factor Tree</h3>

51 <h3>Factor Tree</h3>

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

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

54 <p><strong>Step 1:</strong>Firstly, 1072 is divided by 2 to get 536.</p>

53 <p><strong>Step 1:</strong>Firstly, 1072 is divided by 2 to get 536.</p>

55 <p><strong>Step 2:</strong>Now divide 536 by 2 to get 268</p>

54 <p><strong>Step 2:</strong>Now divide 536 by 2 to get 268</p>

56 <p><strong>Step 3:</strong>Then divide 268 by 2 to get 134.</p>

55 <p><strong>Step 3:</strong>Then divide 268 by 2 to get 134.</p>

57 <p><strong>Step 4:</strong>Divide 134 by 2 to get 67.</p>

56 <p><strong>Step 4:</strong>Divide 134 by 2 to get 67.</p>

58 <p>Here, 67 is the smallest prime number, that cannot be divided anymore.</p>

57 <p>Here, 67 is the smallest prime number, that cannot be divided anymore.</p>

59 <p>So, the prime factorization of 1072 is: 2^4 × 67.</p>

58 <p>So, the prime factorization of 1072 is: 2^4 × 67.</p>

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

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

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

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

62 <p>Positive factor pairs of 1072: (1, 1072), (2, 536), (4, 268), (8, 134), and (16, 67).</p>

61 <p>Positive factor pairs of 1072: (1, 1072), (2, 536), (4, 268), (8, 134), and (16, 67).</p>

63 <p>Negative factor pairs of 1072: (-1, -1072), (-2, -536), (-4, -268), (-8, -134), and (-16, -67).</p>

62 <p>Negative factor pairs of 1072: (-1, -1072), (-2, -536), (-4, -268), (-8, -134), and (-16, -67).</p>

64 <h2>Common Mistakes and How to Avoid Them in Factors of 1072</h2>

63 <h2>Common Mistakes and How to Avoid Them in Factors of 1072</h2>

65 <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 <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>

65 + <h2>Download Worksheets</h2>

66 <h3>Problem 1</h3>

67 <p>There are 8 friends and 1072 candies. How will they divide it equally?</p>

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

69 <p>They will get 134 candies each.</p>

70 <h3>Explanation</h3>

71 <p>To divide the candies equally, we need to divide the total candies by the number of friends.</p>

72 <p>1072/8 = 134</p>

73 <p>Well explained 👍</p>

74 <h3>Problem 2</h3>

75 <p>A rectangular garden has a width of 16 meters and a total area of 1072 square meters. Find the length.</p>

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

77 <p>67 meters.</p>

78 <h3>Explanation</h3>

79 <p>To find the length of the garden, we use the formula, </p>

80 <p>Area = length × width </p>

81 <p>1072 = length × 16 </p>

82 <p>To find the value of the length, we need to shift 16 to the left side. </p>

83 <p>1072/16 = length </p>

84 <p>Length = 67.</p>

85 <p>Well explained 👍</p>

86 <h3>Problem 3</h3>

87 <p>There are 67 baskets and 1072 apples. How many apples will be in each basket?</p>

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

89 <p>Each basket will have 16 apples.</p>

90 <h3>Explanation</h3>

91 <p>To find the apples in each basket, divide the total apples by the baskets.</p>

92 <p>1072/67 = 16</p>

93 <p>Well explained 👍</p>

94 <h3>Problem 4</h3>

95 <p>A company has 1072 employees, and they want to form 16 teams. How many employees will be in each team?</p>

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

97 <p>There are 67 employees in each team.</p>

98 <h3>Explanation</h3>

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

100 <p>1072/16 = 67</p>

101 <p>Well explained 👍</p>

102 <h3>Problem 5</h3>

103 <p>1072 books need to be arranged in 4 shelves. How many books will go on each shelf?</p>

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

105 <p>Each of the shelves has 268 books.</p>

106 <h3>Explanation</h3>

107 <p>Divide total books by shelves.</p>

108 <p>1072/4 = 268</p>

109 <p>Well explained 👍</p>

110 <h2>FAQs on Factors of 1072</h2>

111 <h3>1.What are the factors of 1072?</h3>

112 <p>1, 2, 4, 8, 16, 67, 134, 268, 536, 1072 are the factors of 1072.</p>

113 <h3>2.Mention the prime factors of 1072.</h3>

114 <p>The prime factors of 1072 are 2^4 × 67.</p>

115 <h3>3.Is 1072 a multiple of 4?</h3>

116 <h3>4.Mention the factor pairs of 1072?</h3>

117 <p>(1, 1072), (2, 536), (4, 268), (8, 134), and (16, 67) are the factor pairs of 1072.</p>

118 <h3>5.What is the square of 1072?</h3>

119 <p>The<a>square</a>of 1072 is 1,149,184.</p>

120 <h2>Important Glossaries for Factor of 1072</h2>

121 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1072 are 1, 2, 4, 8, 16, 67, 134, 268, 536, and 1072. </li>

122 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 2 and 67 are prime factors of 1072. </li>

123 <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 1072 are (1, 1072), (2, 536), (4, 268), etc. </li>

124 <li><strong>Prime factorization:</strong>The expression of a number as the product of prime numbers. For 1072, it is 2^4 × 67. </li>

125 <li><strong>Multiple:</strong>A number that can be divided by another number without a remainder. For example, 1072 is a multiple of 4.</li>

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

127 <p>▶</p>

128 <h2>Hiralee Lalitkumar Makwana</h2>

129 <h3>About the Author</h3>

130 <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>

131 <h3>Fun Fact</h3>

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