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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 a 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 1067, how they are used in real life, and tips to learn them quickly.</p>

4 <h2>What are the Factors of 1067?</h2>

5 <p>The<a>numbers</a>that divide 1067 evenly are known as<a>factors</a>of 1067.</p>

6 <p>A factor of 1067 is a number that divides the number without a<a>remainder</a>.</p>

7 <p>The factors of 1067 are 1, 11, 97, and 1067.</p>

8 <p><strong>Negative factors of 1067:</strong>-1, -11, -97, and -1067.</p>

9 <p><strong>Prime factors of 1067:</strong>11 and 97.</p>

10 <p><strong>Prime factorization of 1067:</strong>11 × 97.</p>

11 <p>The<a>sum</a>of factors of 1067: 1 + 11 + 97 + 1067 = 1176</p>

12 <h2>How to Find Factors of 1067?</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 the<a>division</a>method </li>

16 <li>Prime factors and<a>prime factorization</a></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 1067. Identifying the numbers that are multiplied to get the number 1067 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply 1067 by 1, 1067 × 1 = 1067.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give 1067 after multiplying</p>

21 <p>11 × 97 = 1067</p>

22 <p>Therefore, the positive factor pairs of 1067 are: (1, 1067) and (11, 97).</p>

23 <p>All these factor pairs result in 1067.</p>

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

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

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

28 <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>

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>

29 <p><strong>Step 1:</strong>Divide 1067 by 1, 1067 ÷ 1 = 1067.</p>

28 <p><strong>Step 1:</strong>Divide 1067 by 1, 1067 ÷ 1 = 1067.</p>

30 <p><strong>Step 2:</strong>Continue dividing 1067 by the numbers until the remainder becomes 0.</p>

29 <p><strong>Step 2:</strong>Continue dividing 1067 by the numbers until the remainder becomes 0.</p>

31 <p>1067 ÷ 1 = 1067</p>

30 <p>1067 ÷ 1 = 1067</p>

32 <p>1067 ÷ 11 = 97</p>

31 <p>1067 ÷ 11 = 97</p>

33 <p>1067 ÷ 97 = 11</p>

32 <p>1067 ÷ 97 = 11</p>

34 <p>1067 ÷ 1067 = 1</p>

33 <p>1067 ÷ 1067 = 1</p>

35 <p>Therefore, the factors of 1067 are: 1, 11, 97, 1067.</p>

34 <p>Therefore, the factors of 1067 are: 1, 11, 97, 1067.</p>

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

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

37 <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>

36 <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>

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

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

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

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

40 </ul><p>Using Prime Factorization: In this process, prime factors of 1067 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

39 </ul><p>Using Prime Factorization: In this process, prime factors of 1067 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

41 <p>1067 ÷ 11 = 97</p>

40 <p>1067 ÷ 11 = 97</p>

42 <p>97 ÷ 97 = 1</p>

41 <p>97 ÷ 97 = 1</p>

43 <p>The prime factors of 1067 are 11 and 97. The prime factorization of 1067 is: 11 × 97.</p>

42 <p>The prime factors of 1067 are 11 and 97. The prime factorization of 1067 is: 11 × 97.</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, 1067 is divided by 11 to get 97.</p>

45 <p><strong>Step 1:</strong>Firstly, 1067 is divided by 11 to get 97.</p>

47 <p><strong>Step 2:</strong>Now divide 97 by 97 to get 1.</p>

46 <p><strong>Step 2:</strong>Now divide 97 by 97 to get 1.</p>

48 <p>Here, 97 is the smallest prime number that cannot be divided anymore.</p>

47 <p>Here, 97 is the smallest prime number that cannot be divided anymore.</p>

49 <p>So, the prime factorization of 1067 is: 11 × 97.</p>

48 <p>So, the prime factorization of 1067 is: 11 × 97.</p>

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

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

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

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

52 <p>Positive factor pairs of 1067: (1, 1067) and (11, 97).</p>

51 <p>Positive factor pairs of 1067: (1, 1067) and (11, 97).</p>

53 <p>Negative factor pairs of 1067: (-1, -1067) and (-11, -97).</p>

52 <p>Negative factor pairs of 1067: (-1, -1067) and (-11, -97).</p>

54 <h2>Common Mistakes and How to Avoid Them in Factors of 1067</h2>

53 <h2>Common Mistakes and How to Avoid Them in Factors of 1067</h2>

55 <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>

54 <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>

55 + <h2>Download Worksheets</h2>

56 <h3>Problem 1</h3>

57 <p>A gardener has 1067 seeds and wants to plant them in rows of 11 seeds each. How many full rows can the gardener plant?</p>

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

59 <p>The gardener can plant 97 full rows.</p>

60 <h3>Explanation</h3>

61 <p>To find the number of full rows, divide the total seeds by the number of seeds per row.</p>

62 <p>1067/11 = 97</p>

63 <p>Well explained 👍</p>

64 <h3>Problem 2</h3>

65 <p>A rectangular field has a length of 11 meters, and the total area is 1067 square meters. Find the width.</p>

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

67 <p>97 meters.</p>

68 <h3>Explanation</h3>

69 <p>To find the width of the field, we use the formula,</p>

70 <p>Area = length × width</p>

71 <p>1067 = 11 × width</p>

72 <p>To find the value of width, we need to shift 11 to the left side.</p>

73 <p>1067/11 = width</p>

74 <p>Width = 97.</p>

75 <p>Well explained 👍</p>

76 <h3>Problem 3</h3>

77 <p>There are 97 boxes and 1067 candies. How many candies will be in each box?</p>

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

79 <p>Each box will have 11 candies.</p>

80 <h3>Explanation</h3>

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

82 <p>1067/97 = 11</p>

83 <p>Well explained 👍</p>

84 <h3>Problem 4</h3>

85 <p>In a class, there are 1067 students, and 11 groups. How many students are there in each group?</p>

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

87 <p>There are 97 students in each group.</p>

88 <h3>Explanation</h3>

89 <p>Dividing the students by the total groups, we will get the number of students in each group.</p>

90 <p>1067/11 = 97</p>

91 <p>Well explained 👍</p>

92 <h3>Problem 5</h3>

93 <p>1067 books need to be arranged in 11 shelves. How many books will go on each shelf?</p>

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

95 <p>Each of the shelves has 97 books.</p>

96 <h3>Explanation</h3>

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

98 <p>1067/11 = 97</p>

99 <p>Well explained 👍</p>

100 <h2>FAQs on Factors of 1067</h2>

101 <h3>1.What are the factors of 1067?</h3>

102 <p>1, 11, 97, and 1067 are the factors of 1067.</p>

103 <h3>2.Mention the prime factors of 1067.</h3>

104 <p>The prime factors of 1067 are 11 × 97.</p>

105 <h3>3.Is 1067 a multiple of 11?</h3>

106 <h3>4.Mention the factor pairs of 1067?</h3>

107 <p>(1, 1067) and (11, 97) are the factor pairs of 1067.</p>

108 <h3>5.What is the square of 1067?</h3>

109 <p>The<a>square</a>of 1067 is 1,138,489.</p>

110 <h2>Important Glossaries for Factor of 1067</h2>

111 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1067 are 1, 11, 97, and 1067. </li>

112 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 11 and 97 are prime factors of 1067. </li>

113 <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 1067 are (1, 1067) and (11, 97). </li>

114 <li><strong>Prime factorization:</strong>Breaking down a number into its prime factors. For example, the prime factorization of 1067 is 11 × 97. </li>

115 <li><strong>Negative factors:</strong>These are the negative counterparts of the positive factors of a number. For example, negative factors of 1067 are -1, -11, -97, and -1067.</li>

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

117 <p>▶</p>

118 <h2>Hiralee Lalitkumar Makwana</h2>

119 <h3>About the Author</h3>

120 <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>

121 <h3>Fun Fact</h3>

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