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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 1168, how they are used in real life, and tips to learn them quickly.</p>

4 <h2>What are the Factors of 1168?</h2>

5 <p>The<a>numbers</a>that divide 1168 evenly are known as<a>factors</a>of 1168. A factor of 1168 is a number that divides the number without a<a>remainder</a>. The factors of 1168 are 1, 2, 4, 8, 16, 73, 146, 292, 584, and 1168.</p>

6 <p><strong>Negative factors of 1168:</strong>-1, -2, -4, -8, -16, -73, -146, -292, -584, and -1168.</p>

7 <p><strong>Prime factors of 1168:</strong>2 and 73.</p>

8 <p><strong>Prime factorization of 1168:</strong>24 × 73.</p>

9 <p><strong>The<a>sum</a>of factors of 1168:</strong>1 + 2 + 4 + 8 + 16 + 73 + 146 + 292 + 584 + 1168 = 2294</p>

10 <h2>How to Find Factors of 1168?</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 1168. Identifying the numbers which are multiplied to get the number 1168 is the multiplication method.</p>

17 <p><strong>Step 1:</strong>Multiply 1168 by 1, 1168 × 1 = 1168.</p>

18 <p><strong>Step 2:</strong>Check for other numbers that give 1168 after multiplying:</p>

19 <p>2 × 584 = 1168</p>

20 <p>4 × 292 = 1168</p>

21 <p>8 × 146 = 1168</p>

22 <p>16 × 73 = 1168</p>

23 <p>Therefore, the positive factor pairs of 1168 are: (1, 1168), (2, 584), (4, 292), (8, 146), (16, 73). For every positive factor, there is a negative factor.</p>

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

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

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 a simple division method -</p>

26 <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>

28 <p><strong>Step 1:</strong>Divide 1168 by 1, 1168 ÷ 1 = 1168.</p>

27 <p><strong>Step 1:</strong>Divide 1168 by 1, 1168 ÷ 1 = 1168.</p>

29 <p><strong>Step 2:</strong>Continue dividing 1168 by the numbers until the remainder becomes 0.</p>

28 <p><strong>Step 2:</strong>Continue dividing 1168 by the numbers until the remainder becomes 0.</p>

30 <p>1168 ÷ 1 = 1168</p>

29 <p>1168 ÷ 1 = 1168</p>

31 <p>1168 ÷ 2 = 584</p>

30 <p>1168 ÷ 2 = 584</p>

32 <p>1168 ÷ 4 = 292</p>

31 <p>1168 ÷ 4 = 292</p>

33 <p>1168 ÷ 8 = 146</p>

32 <p>1168 ÷ 8 = 146</p>

34 <p>1168 ÷ 16 = 73</p>

33 <p>1168 ÷ 16 = 73</p>

35 <p>Therefore, the factors of 1168 are: 1, 2, 4, 8, 16, 73, 146, 292, 584, 1168.</p>

34 <p>Therefore, the factors of 1168 are: 1, 2, 4, 8, 16, 73, 146, 292, 584, 1168.</p>

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

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

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><strong>Using Prime Factorization:</strong>In this process, prime factors of 1168 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

39 </ul><p><strong>Using Prime Factorization:</strong>In this process, prime factors of 1168 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

41 <p>1168 ÷ 2 = 584</p>

40 <p>1168 ÷ 2 = 584</p>

42 <p>584 ÷ 2 = 292</p>

41 <p>584 ÷ 2 = 292</p>

43 <p>292 ÷ 2 = 146</p>

42 <p>292 ÷ 2 = 146</p>

44 <p>146 ÷ 2 = 73</p>

43 <p>146 ÷ 2 = 73</p>

45 <p>73 ÷ 73 = 1</p>

44 <p>73 ÷ 73 = 1</p>

46 <p>The prime factors of 1168 are 2 and 73. The prime factorization of 1168 is: 24 × 73.</p>

45 <p>The prime factors of 1168 are 2 and 73. The prime factorization of 1168 is: 24 × 73.</p>

47 <h2>Factor Tree</h2>

46 <h2>Factor Tree</h2>

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

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

49 <p><strong>Step 1:</strong>Firstly, 1168 is divided by 2 to get 584.</p>

48 <p><strong>Step 1:</strong>Firstly, 1168 is divided by 2 to get 584.</p>

50 <p><strong>Step 2:</strong>Now divide 584 by 2 to get 292.</p>

49 <p><strong>Step 2:</strong>Now divide 584 by 2 to get 292.</p>

51 <p><strong>Step 3:</strong>Then divide 292 by 2 to get 146.</p>

50 <p><strong>Step 3:</strong>Then divide 292 by 2 to get 146.</p>

52 <p><strong>Step 4:</strong>Divide 146 by 2 to get 73. Here, 73 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1168 is: 24 × 73.</p>

51 <p><strong>Step 4:</strong>Divide 146 by 2 to get 73. Here, 73 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1168 is: 24 × 73.</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 1168: (1, 1168), (2, 584), (4, 292), (8, 146), and (16, 73).</li>

53 <ul><li>Positive factor pairs of 1168: (1, 1168), (2, 584), (4, 292), (8, 146), and (16, 73).</li>

55 <li> Negative factor pairs of 1168: (-1, -1168), (-2, -584), (-4, -292), (-8, -146), and (-16, -73).</li>

54 <li> Negative factor pairs of 1168: (-1, -1168), (-2, -584), (-4, -292), (-8, -146), and (-16, -73).</li>

56 </ul><h2>Common Mistakes and How to Avoid Them in Factors of 1168</h2>

55 </ul><h2>Common Mistakes and How to Avoid Them in Factors of 1168</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>There are 2 siblings and 1168 candies. How will they divide it equally?</p>

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

61 <p>They will get 584 candies each.</p>

62 <h3>Explanation</h3>

63 <p>To divide the candies equally, we need to divide the total candies with the number of siblings.</p>

64 <p>1168/2 = 584</p>

65 <p>Well explained 👍</p>

66 <h3>Problem 2</h3>

67 <p>A room is rectangular, the length of the room is 8 meters and the total area is 1168 square meters. Find the width?</p>

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

69 <p>146 meters.</p>

70 <h3>Explanation</h3>

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

72 <p>Area = length × width</p>

73 <p>1168 = 8 × width</p>

74 <p>To find the value of width, we need to shift 8 to the left side.</p>

75 <p>1168/8 = width</p>

76 <p>Width = 146.</p>

77 <p>Well explained 👍</p>

78 <h3>Problem 3</h3>

79 <p>There are 16 sections in a warehouse, and 1168 boxes. How many boxes will be in each section?</p>

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

81 <p>Each section will have 73 boxes.</p>

82 <h3>Explanation</h3>

83 <p>To find the boxes in each section, divide the total boxes with the sections.</p>

84 <p>1168/16 = 73</p>

85 <p>Well explained 👍</p>

86 <h3>Problem 4</h3>

87 <p>In a theater, there are 1168 seats, and 73 rows. How many seats are there in each row?</p>

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

89 <p>There are 16 seats in each row.</p>

90 <h3>Explanation</h3>

91 <p>Dividing the seats with the total rows, we will get the number of seats in each row.</p>

92 <p>1168/73 = 16</p>

93 <p>Well explained 👍</p>

94 <h3>Problem 5</h3>

95 <p>1168 books need to be arranged in 16 shelves. How many books will go on each shelf?</p>

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

97 <p>Each of the shelves has 73 books.</p>

98 <h3>Explanation</h3>

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

100 <p>1168/16 = 73</p>

101 <p>Well explained 👍</p>

102 <h2>FAQs on Factors of 1168</h2>

103 <h3>1.What are the factors of 1168?</h3>

104 <p>1, 2, 4, 8, 16, 73, 146, 292, 584, 1168 are the factors of 1168.</p>

105 <h3>2.Mention the prime factors of 1168.</h3>

106 <p>The prime factors of 1168 are 24 × 73.</p>

107 <h3>3.Is 1168 a multiple of 8?</h3>

108 <h3>4.Mention the factor pairs of 1168?</h3>

109 <p>(1, 1168), (2, 584), (4, 292), (8, 146), and (16, 73) are the factor pairs of 1168.</p>

110 <h3>5.What is the square of 1168?</h3>

111 <p>The<a>square</a>of 1168 is 1364224.</p>

112 <h2>Important Glossaries for Factors of 1168</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 1168 are 1, 2, 4, 8, 16, 73, 146, 292, 584, and 1168.</li>

114 </ul><ul><li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 2 and 73 are prime factors of 1168.</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 1168 are (1, 1168), (2, 584), etc.</li>

116 </ul><ul><li><strong>Prime factorization:</strong>The expression of a number as a product of its prime factors. For example, the prime factorization of 1168 is 24 × 73.</li>

117 </ul><ul><li><strong>Multiple:</strong>A number that can be divided by another number without a remainder. For example, 1168 is a multiple of 8.</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>