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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 1160, how they are used in real life, and the tips to learn them quickly.</p>

4 <h2>What are the Factors of 1160?</h2>

5 <p>The<a>numbers</a>that divide 1160 evenly are known as<a>factors</a>of 1160. A factor of 1160 is a number that divides the number without<a>remainder</a>. The factors of 1160 are 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, and 1160.</p>

6 <p><strong>Negative factors of 1160:</strong>-1, -2, -4, -5, -8, -10, -20, -29, -40, -58, -116, -145, -232, -290, -580, and -1160.</p>

7 <p><strong>Prime factors of 1160:</strong>2, 5, and 29.</p>

8 <p><strong>Prime factorization of 1160:</strong>2³ × 5 × 29.</p>

9 <p><strong>The<a>sum</a>of factors of 1160:</strong>1 + 2 + 4 + 5 + 8 + 10 + 20 + 29 + 40 + 58 + 116 + 145 + 232 + 290 + 580 + 1160 = 2700</p>

10 <h2>How to Find Factors of 1160?</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<a>division</a>method</li>

14 <li>Prime factors and Prime factorization</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 1160. Identifying the numbers which are multiplied to get the number 1160 is the multiplication method.</p>

17 <p><strong>Step 1:</strong>Multiply 1160 by 1, 1160 × 1 = 1160.</p>

18 <p><strong>Step 2:</strong>Check for other numbers that give 1160 after multiplying</p>

19 <p>2 × 580 = 1160</p>

20 <p>4 × 290 = 1160</p>

21 <p>5 × 232 = 1160</p>

22 <p>8 × 145 = 1160</p>

23 <p>10 × 116 = 1160</p>

24 <p>20 × 58 = 1160</p>

25 <p>29 × 40 = 1160</p>

26 <p>Therefore, the positive factor pairs of 1160 are: (1, 1160), (2, 580), (4, 290), (5, 232), (8, 145), (10, 116), (20, 58), (29, 40). All these factor pairs result in 1160. For every positive factor, there is a negative factor.</p>

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

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

30 <p>Dividing the given number 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>Dividing the given number 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>

31 <p><strong>Step 1:</strong>Divide 1160 by 1, 1160 ÷ 1 = 1160.</p>

30 <p><strong>Step 1:</strong>Divide 1160 by 1, 1160 ÷ 1 = 1160.</p>

32 <p><strong>Step 2:</strong>Continue dividing 1160 by the numbers until the remainder becomes 0.</p>

31 <p><strong>Step 2:</strong>Continue dividing 1160 by the numbers until the remainder becomes 0.</p>

33 <p>1160 ÷ 1 = 1160</p>

32 <p>1160 ÷ 1 = 1160</p>

34 <p>1160 ÷ 2 = 580</p>

33 <p>1160 ÷ 2 = 580</p>

35 <p>1160 ÷ 4 = 290</p>

34 <p>1160 ÷ 4 = 290</p>

36 <p>1160 ÷ 5 = 232</p>

35 <p>1160 ÷ 5 = 232</p>

37 <p>1160 ÷ 8 = 145</p>

36 <p>1160 ÷ 8 = 145</p>

38 <p>1160 ÷ 10 = 116</p>

37 <p>1160 ÷ 10 = 116</p>

39 <p>1160 ÷ 20 = 58</p>

38 <p>1160 ÷ 20 = 58</p>

40 <p>1160 ÷ 29 = 40</p>

39 <p>1160 ÷ 29 = 40</p>

41 <p>Therefore, the factors of 1160 are: 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160.</p>

40 <p>Therefore, the factors of 1160 are: 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160.</p>

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

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

43 <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 <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>

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

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

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

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

46 </ul><p><strong>Using Prime Factorization:</strong>In this process, prime factors of 1160 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.</p>

45 </ul><p><strong>Using Prime Factorization:</strong>In this process, prime factors of 1160 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.</p>

47 <p>1160 ÷ 2 = 580</p>

46 <p>1160 ÷ 2 = 580</p>

48 <p>580 ÷ 2 = 290</p>

47 <p>580 ÷ 2 = 290</p>

49 <p>290 ÷ 2 = 145</p>

48 <p>290 ÷ 2 = 145</p>

50 <p>145 ÷ 5 = 29</p>

49 <p>145 ÷ 5 = 29</p>

51 <p>29 ÷ 29 = 1</p>

50 <p>29 ÷ 29 = 1</p>

52 <p>The prime factors of 1160 are 2, 5, and 29. The prime factorization of 1160 is: 2³ × 5 × 29.</p>

51 <p>The prime factors of 1160 are 2, 5, and 29. The prime factorization of 1160 is: 2³ × 5 × 29.</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, 1160 is divided by 2 to get 580.</p>

54 <p><strong>Step 1:</strong>Firstly, 1160 is divided by 2 to get 580.</p>

56 <p><strong>Step 2:</strong>Now divide 580 by 2 to get 290.</p>

55 <p><strong>Step 2:</strong>Now divide 580 by 2 to get 290.</p>

57 <p><strong>Step 3:</strong>Then divide 290 by 2 to get 145.</p>

56 <p><strong>Step 3:</strong>Then divide 290 by 2 to get 145.</p>

58 <p><strong>Step 4:</strong>Divide 145 by 5 to get 29. Here, 29 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1160 is: 2³ × 5 × 29.</p>

57 <p><strong>Step 4:</strong>Divide 145 by 5 to get 29. Here, 29 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1160 is: 2³ × 5 × 29.</p>

59 <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>

58 <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>

60 <ul><li>Positive factor pairs of 1160: (1, 1160), (2, 580), (4, 290), (5, 232), (8, 145), (10, 116), (20, 58), (29, 40).</li>

59 <ul><li>Positive factor pairs of 1160: (1, 1160), (2, 580), (4, 290), (5, 232), (8, 145), (10, 116), (20, 58), (29, 40).</li>

61 <li>Negative factor pairs of 1160: (-1, -1160), (-2, -580), (-4, -290), (-5, -232), (-8, -145), (-10, -116), (-20, -58), (-29, -40).</li>

60 <li>Negative factor pairs of 1160: (-1, -1160), (-2, -580), (-4, -290), (-5, -232), (-8, -145), (-10, -116), (-20, -58), (-29, -40).</li>

62 </ul><h2>Common Mistakes and How to Avoid Them in Factors of 1160</h2>

61 </ul><h2>Common Mistakes and How to Avoid Them in Factors of 1160</h2>

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>

62 <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 + <h2>Download Worksheets</h2>

64 <h3>Problem 1</h3>

65 <p>There are 10 families and 1160 apples. How will they divide it equally?</p>

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

67 <p>They will get 116 apples each.</p>

68 <h3>Explanation</h3>

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

70 <p>1160/10 = 116</p>

71 <p>Well explained 👍</p>

72 <h3>Problem 2</h3>

73 <p>A field is rectangular, the length of the field is 40 meters and the total area is 1160 square meters. Find the width?</p>

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

75 <p>29 meters.</p>

76 <h3>Explanation</h3>

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

78 <p>Area = length × width</p>

79 <p>1160 = 40 × width</p>

80 <p>To find the value of width, we need to shift 40 to the left side.</p>

81 <p>1160/40 = width</p>

82 <p>Width = 29.</p>

83 <p>Well explained 👍</p>

84 <h3>Problem 3</h3>

85 <p>There are 58 bags and 1160 candies. How many candies will be in each bag?</p>

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

87 <p>Each bag will have 20 candies.</p>

88 <h3>Explanation</h3>

89 <p>To find the candies in each bag, divide the total candies with the bags.</p>

90 <p>1160/58 = 20</p>

91 <p>Well explained 👍</p>

92 <h3>Problem 4</h3>

93 <p>In a class, there are 1160 students, and 5 groups. How many students are there in each group?</p>

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

95 <p>There are 232 students in each group.</p>

96 <h3>Explanation</h3>

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

98 <p>1160/5 = 232</p>

99 <p>Well explained 👍</p>

100 <h3>Problem 5</h3>

101 <p>1160 books need to be arranged in 4 shelves. How many books will go on each shelf?</p>

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

103 <p>Each of the shelves has 290 books.</p>

104 <h3>Explanation</h3>

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

106 <p>1160/4 = 290</p>

107 <p>Well explained 👍</p>

108 <h2>FAQs on Factors of 1160</h2>

109 <h3>1.What are the factors of 1160?</h3>

110 <p>1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160 are the factors of 1160.</p>

111 <h3>2.Mention the prime factors of 1160.</h3>

112 <p>The prime factors of 1160 are 2, 5, and 29.</p>

113 <h3>3.Is 1160 a multiple of 10?</h3>

114 <h3>4.Mention the factor pairs of 1160?</h3>

115 <p>(1, 1160), (2, 580), (4, 290), (5, 232), (8, 145), (10, 116), (20, 58), (29, 40) are the factor pairs of 1160.</p>

116 <h3>5.What is the square of 1160?</h3>

117 <p>The<a>square</a>of 1160 is 1,345,600.</p>

118 <h2>Important Glossaries for Factor of 1160</h2>

119 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1160 are 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, and 1160.</li>

120 </ul><ul><li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 2, 5, and 29 are prime factors of 1160.</li>

121 </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 1160 are (1, 1160), (2, 580), etc.</li>

122 </ul><ul><li><strong>Prime factorization:</strong>Expressing a number as the product of its prime factors. For example, the prime factorization of 1160 is 2³ × 5 × 29.</li>

123 </ul><ul><li><strong>Multiples:</strong>A multiple of a number is the product of that number and an integer. For example, 1160 is a multiple of 10.</li>

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

125 <p>▶</p>

126 <h2>Hiralee Lalitkumar Makwana</h2>

127 <h3>About the Author</h3>

128 <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>

129 <h3>Fun Fact</h3>

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