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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 1164, how they are used in real life, and tips on how to learn them quickly.</p>

4 <h2>What are the Factors of 1164?</h2>

5 <p>The<a>numbers</a>that divide 1164 evenly are known as<a>factors</a><a>of</a>1164. A factor of 1164 is a number that divides the number without a<a>remainder</a>. The factors of 1164 are 1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, and 1164.</p>

6 <p><strong>Negative factors of 1164:</strong>-1, -2, -3, -4, -6, -12, -97, -194, -291, -388, -582, and -1164.</p>

7 <p><strong>Prime factors of 1164:</strong>2, 3, and 97.</p>

8 <p><strong>Prime factorization of 1164:</strong>2 × 2 × 3 × 97 or (22 x 3x 97).</p>

9 <p><strong>The<a>sum</a>of factors of 1164:</strong>1 + 2 + 3 + 4 + 6 + 12 + 97 + 194 + 291 + 388 + 582 + 1164 = 2744</p>

10 <h2>How to Find Factors of 1164?</h2>

11 <p>Factors can be found using different methods. Mentioned below are some commonly used methods:</p>

12 <ol><li>Finding factors using<a>multiplication</a></li>

13 <li>Finding factors using the<a>division</a>method</li>

14 <li>Prime factors and<a>prime factorization</a></li>

15 </ol><h2>Finding Factors Using Multiplication</h2>

16 <p>To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1164. Identifying the numbers that are multiplied to get the number 1164 is the multiplication method.</p>

17 <p><strong>Step 1:</strong>Multiply 1164 by 1, 1164 × 1 = 1164.</p>

18 <p><strong>Step 2:</strong>Check for other numbers that give 1164 after multiplying</p>

19 <p>2 × 582 = 1164</p>

20 <p>3 × 388 = 1164</p>

21 <p>4 × 291 = 1164</p>

22 <p>6 × 194 = 1164</p>

23 <p>12 × 97 = 1164</p>

24 <p>Therefore, the positive factor pairs of 1164 are: (1, 1164), (2, 582), (3, 388), (4, 291), (6, 194), (12, 97). All these factor pairs result in 1164. For every positive factor, there is a negative factor.</p>

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27 <h2>Finding Factors Using Division Method</h2>

26 <h2>Finding Factors Using Division Method</h2>

28 <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 the simple division method -</p>

27 <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 the simple division method -</p>

29 <p><strong>Step 1:</strong>Divide 1164 by 1, 1164 ÷ 1 = 1164.</p>

28 <p><strong>Step 1:</strong>Divide 1164 by 1, 1164 ÷ 1 = 1164.</p>

30 <p><strong>Step 2:</strong>Continue dividing 1164 by the numbers until the remainder becomes 0.</p>

29 <p><strong>Step 2:</strong>Continue dividing 1164 by the numbers until the remainder becomes 0.</p>

31 <p>1164 ÷ 1 = 1164</p>

30 <p>1164 ÷ 1 = 1164</p>

32 <p>1164 ÷ 2 = 582</p>

31 <p>1164 ÷ 2 = 582</p>

33 <p>1164 ÷ 3 = 388</p>

32 <p>1164 ÷ 3 = 388</p>

34 <p>1164 ÷ 4 = 291</p>

33 <p>1164 ÷ 4 = 291</p>

35 <p>1164 ÷ 6 = 194</p>

34 <p>1164 ÷ 6 = 194</p>

36 <p>1164 ÷ 12 = 97</p>

35 <p>1164 ÷ 12 = 97</p>

37 <p>Therefore, the factors of 1164 are: 1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, 1164.</p>

36 <p>Therefore, the factors of 1164 are: 1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, 1164.</p>

38 <h2>Prime Factors and Prime Factorization</h2>

37 <h2>Prime Factors and Prime Factorization</h2>

39 <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 <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>

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

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

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

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

42 </ul><p><strong>Using Prime Factorization:</strong>In this process, prime factors of 1164 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

41 </ul><p><strong>Using Prime Factorization:</strong>In this process, prime factors of 1164 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

43 <p>1164 ÷ 2 = 582</p>

42 <p>1164 ÷ 2 = 582</p>

44 <p>582 ÷ 2 = 291</p>

43 <p>582 ÷ 2 = 291</p>

45 <p>291 ÷ 3 = 97</p>

44 <p>291 ÷ 3 = 97</p>

46 <p>97 ÷ 97 = 1</p>

45 <p>97 ÷ 97 = 1</p>

47 <p>The prime factors of 1164 are 2, 3, and 97. The prime factorization of 1164 is: (22 x 3 x 97).</p>

46 <p>The prime factors of 1164 are 2, 3, and 97. The prime factorization of 1164 is: (22 x 3 x 97).</p>

48 <h2>Factor Tree</h2>

47 <h2>Factor Tree</h2>

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

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

50 <p><strong>Step 1:</strong>Firstly, 1164 is divided by 2 to get 582.</p>

49 <p><strong>Step 1:</strong>Firstly, 1164 is divided by 2 to get 582.</p>

51 <p><strong>Step 2:</strong>Now divide 582 by 2 to get 291.</p>

50 <p><strong>Step 2:</strong>Now divide 582 by 2 to get 291.</p>

52 <p><strong>Step 3:</strong>Then divide 291 by 3 to get 97. Here, 97 is a prime number and cannot be divided anymore. So, the prime factorization of 1164 is: (22 x 3 x 97).</p>

51 <p><strong>Step 3:</strong>Then divide 291 by 3 to get 97. Here, 97 is a prime number and cannot be divided anymore. So, the prime factorization of 1164 is: (22 x 3 x 97).</p>

53 <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>

52 <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>

54 <ul><li>Positive factor pairs of 1164: (1, 1164), (2, 582), (3, 388), (4, 291), (6, 194), (12, 97).</li>

53 <ul><li>Positive factor pairs of 1164: (1, 1164), (2, 582), (3, 388), (4, 291), (6, 194), (12, 97).</li>

55 <li>Negative factor pairs of 1164: (-1, -1164), (-2, -582), (-3, -388), (-4, -291), (-6, -194), (-12, -97).</li>

54 <li>Negative factor pairs of 1164: (-1, -1164), (-2, -582), (-3, -388), (-4, -291), (-6, -194), (-12, -97).</li>

56 </ul><h2>Common Mistakes and How to Avoid Them in Factors of 1164</h2>

55 </ul><h2>Common Mistakes and How to Avoid Them in Factors of 1164</h2>

57 <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>

56 <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>

57 + <h2>Download Worksheets</h2>

58 <h3>Problem 1</h3>

59 <p>A concert hall has 582 seats and 2 sections. How many seats are in each section?</p>

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

61 <p>Each section has 291 seats.</p>

62 <h3>Explanation</h3>

63 <p>To divide the seats equally, we need to divide the total seats by the number of sections.</p>

64 <p>582/2 = 291</p>

65 <p>Well explained 👍</p>

66 <h3>Problem 2</h3>

67 <p>A garden is rectangular, with a length of 97 meters and a total area of 1164 square meters. What is the width?</p>

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

69 <p>12 meters.</p>

70 <h3>Explanation</h3>

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

72 <p>Area = length × width</p>

73 <p>1164 = 97 × width</p>

74 <p>To find the value of width, we need to shift 97 to the left side.</p>

75 <p>1164/97 = width</p>

76 <p>Width = 12.</p>

77 <p>Well explained 👍</p>

78 <h3>Problem 3</h3>

79 <p>A warehouse has 388 packages and 4 shelves. How many packages will be in each shelf?</p>

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

81 <p>Each shelf will have 97 packages.</p>

82 <h3>Explanation</h3>

83 <p>To find the packages on each shelf, divide the total packages by the shelves.</p>

84 <p>388/4 = 97</p>

85 <p>Well explained 👍</p>

86 <h3>Problem 4</h3>

87 <p>In a conference, there are 1164 participants, and 12 groups. How many participants are there in each group?</p>

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

89 <p>There are 97 participants in each group.</p>

90 <h3>Explanation</h3>

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

92 <p>1164/12 = 97</p>

93 <p>Well explained 👍</p>

94 <h3>Problem 5</h3>

95 <p>1164 items need to be arranged in 6 containers. How many items will go in each container?</p>

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

97 <p>Each container has 194 items.</p>

98 <h3>Explanation</h3>

99 <p>Divide total items by containers.</p>

100 <p>1164/6 = 194</p>

101 <p>Well explained 👍</p>

102 <h2>FAQs on Factors of 1164</h2>

103 <h3>1.What are the factors of 1164?</h3>

104 <p>1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, 1164 are the factors of 1164.</p>

105 <h3>2.Mention the prime factors of 1164.</h3>

106 <p>The prime factors of 1164 are (22 x 3 x 97).</p>

107 <h3>3.Is 1164 a multiple of 6?</h3>

108 <h3>4.Mention the factor pairs of 1164?</h3>

109 <p>(1, 1164), (2, 582), (3, 388), (4, 291), (6, 194), (12, 97) are the factor pairs of 1164.</p>

110 <h3>5.What is the square of 1164?</h3>

111 <p>The<a>square</a>of 1164 is 1,354,896.</p>

112 <h2>Important Glossaries for Factor of 1164</h2>

113 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1164 are 1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, and 1164.</li>

114 </ul><ul><li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 2, 3, and 97 are prime factors of 1164.</li>

115 </ul><ul><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 1164 are (1, 1164), (2, 582), etc.</li>

116 </ul><ul><li><strong>Prime factorization:</strong>Expressing a number as a product of its prime factors. For example, the prime factorization of 1164 is (22 x3 x 97).</li>

117 </ul><ul><li><strong>Multiple:</strong>A number that can be divided by another number without a remainder. For example, 1164 is a multiple of 6.</li>

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

119 <p>▶</p>

120 <h2>Hiralee Lalitkumar Makwana</h2>

121 <h3>About the Author</h3>

122 <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>

123 <h3>Fun Fact</h3>

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