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1 - <p>196 Learners</p>

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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 -169, how they are used in real life, and tips to learn them quickly.</p>

4 <h2>What are the Factors of -169?</h2>

5 <p>The<a>numbers</a>that divide -169 evenly are known as<a>factors</a>of -169.</p>

6 <p>A factor of -169 is a number that divides the number without a<a>remainder</a>.</p>

7 <p>The factors of -169 are 1, -1, 13, -13, 169, and -169.</p>

8 <p><strong>Prime factors of -169:</strong>13.</p>

9 <p><strong>Prime factorization of -169:</strong>-1 × 13 × 13.</p>

10 <p>The<a>sum</a>of the factors of -169: 1 - 1 + 13 - 13 + 169 - 169 = 0</p>

11 <h2>How to Find Factors of -169?</h2>

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

13 <ul><li>Finding factors using<a>multiplication</a> </li>

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

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

16 </ul><h3>Finding Factors Using Multiplication</h3>

17 <p>To find factors using multiplication, we need to identify pairs of numbers that are multiplied to give -169.</p>

18 <p>Identifying the numbers which are multiplied to get the number -169 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply -169 by 1, -169 × 1 = -169.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give -169 after multiplying 13 × -13 = -169</p>

21 <p>Therefore, the factor pairs of -169 are (1, -169), (-1, 169), (13, -13), and (-13, 13).</p>

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

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

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

26 <p>Dividing the given number with<a>whole numbers</a>until the remainder becomes zero and listing out the numbers that result as whole numbers as factors.</p>

25 <p>Dividing the given number with<a>whole numbers</a>until the remainder becomes zero and listing out the numbers that result as whole numbers as factors.</p>

27 <p>Factors can be calculated by following the simple division method </p>

26 <p>Factors can be calculated by following the simple division method </p>

28 <p><strong>Step 1:</strong>Divide -169 by 1, -169 ÷ 1 = -169.</p>

27 <p><strong>Step 1:</strong>Divide -169 by 1, -169 ÷ 1 = -169.</p>

29 <p><strong>Step 2:</strong>Continue dividing -169 by the numbers until the remainder becomes 0.</p>

28 <p><strong>Step 2:</strong>Continue dividing -169 by the numbers until the remainder becomes 0.</p>

30 <p>-169 ÷ 1 = -169</p>

29 <p>-169 ÷ 1 = -169</p>

31 <p>-169 ÷ -1 = 169</p>

30 <p>-169 ÷ -1 = 169</p>

32 <p>-169 ÷ 13 = -13</p>

31 <p>-169 ÷ 13 = -13</p>

33 <p>-169 ÷ -13 = 13</p>

32 <p>-169 ÷ -13 = 13</p>

34 <p>Therefore, the factors of -169 are 1, -1, 13, -13, 169, and -169.</p>

33 <p>Therefore, the factors of -169 are 1, -1, 13, -13, 169, and -169.</p>

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

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

36 <p>The factors can be found by dividing them with<a>prime numbers</a>. We can find the prime factors using the following methods:</p>

35 <p>The factors can be found by dividing them with<a>prime numbers</a>. We can find the prime factors using the following methods:</p>

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

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

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

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

39 </ul><p>Using Prime Factorization: In this process, prime factors of -169 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

38 </ul><p>Using Prime Factorization: In this process, prime factors of -169 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

40 <p>-169 ÷ 13 = -13</p>

39 <p>-169 ÷ 13 = -13</p>

41 <p>-13 ÷ 13 = -1</p>

40 <p>-13 ÷ 13 = -1</p>

42 <p>The prime factors of -169 are 13.</p>

41 <p>The prime factors of -169 are 13.</p>

43 <p>The prime factorization of -169 is: -1 × 13 × 13.</p>

42 <p>The prime factorization of -169 is: -1 × 13 × 13.</p>

44 <h2>Factor Tree</h2>

43 <h2>Factor Tree</h2>

45 <p>The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show</p>

44 <p>The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show</p>

46 <p><strong>Step 1:</strong>Firstly, -169 is divided by 13 to get -13.</p>

45 <p><strong>Step 1:</strong>Firstly, -169 is divided by 13 to get -13.</p>

47 <p><strong>Step 2:</strong>Now divide -13 by 13 to get -1. Here, -1 is the smallest<a>integer</a>that cannot be divided anymore. So, the prime factorization of -169 is: -1 × 13 × 13.</p>

46 <p><strong>Step 2:</strong>Now divide -13 by 13 to get -1. Here, -1 is the smallest<a>integer</a>that cannot be divided anymore. So, the prime factorization of -169 is: -1 × 13 × 13.</p>

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

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

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

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

50 <p>Positive factor pairs of -169: (1, -169), and (13, -13).</p>

49 <p>Positive factor pairs of -169: (1, -169), and (13, -13).</p>

51 <p>Negative factor pairs of -169: (-1, 169), and (-13, 13).</p>

50 <p>Negative factor pairs of -169: (-1, 169), and (-13, 13).</p>

52 <h2>Common Mistakes and How to Avoid Them in Factors of -169</h2>

51 <h2>Common Mistakes and How to Avoid Them in Factors of -169</h2>

53 <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>

52 <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 <h3>Problem 1</h3>

53 <h3>Problem 1</h3>

55 <p>A company has -169 units of a product to distribute equally among 13 departments. How many units does each department receive?</p>

54 <p>A company has -169 units of a product to distribute equally among 13 departments. How many units does each department receive?</p>

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

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

57 <p>Each department receives -13 units.</p>

56 <p>Each department receives -13 units.</p>

58 <h3>Explanation</h3>

57 <h3>Explanation</h3>

59 <p>To distribute the products equally, we need to divide the total products by the number of departments.</p>

58 <p>To distribute the products equally, we need to divide the total products by the number of departments.</p>

60 <p>-169/13 = -13</p>

59 <p>-169/13 = -13</p>

61 <p>Well explained 👍</p>

60 <p>Well explained 👍</p>

62 <h3>Problem 2</h3>

61 <h3>Problem 2</h3>

63 <p>A rectangular field has a length of 13 meters, and its area is -169 square meters. What is the width of the field?</p>

62 <p>A rectangular field has a length of 13 meters, and its area is -169 square meters. What is the width of the field?</p>

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

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

65 <p>-13 meters.</p>

64 <p>-13 meters.</p>

66 <h3>Explanation</h3>

65 <h3>Explanation</h3>

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

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

68 <p>Area = length × width</p>

67 <p>Area = length × width</p>

69 <p>-169 = 13 × width</p>

68 <p>-169 = 13 × width</p>

70 <p>To find the value of width, divide both sides by 13.</p>

69 <p>To find the value of width, divide both sides by 13.</p>

71 <p>-169/13 = width</p>

70 <p>-169/13 = width</p>

72 <p>Width = -13.</p>

71 <p>Width = -13.</p>

73 <p>Well explained 👍</p>

72 <p>Well explained 👍</p>

74 <h3>Problem 3</h3>

73 <h3>Problem 3</h3>

75 <p>A school has -169 books to distribute equally among 1 group. How many books will each group receive?</p>

74 <p>A school has -169 books to distribute equally among 1 group. How many books will each group receive?</p>

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

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

77 <p>Each group will receive -169 books.</p>

76 <p>Each group will receive -169 books.</p>

78 <h3>Explanation</h3>

77 <h3>Explanation</h3>

79 <p>To find the books in each group, divide the total books by the number of groups.</p>

78 <p>To find the books in each group, divide the total books by the number of groups.</p>

80 <p>-169/1 = -169</p>

79 <p>-169/1 = -169</p>

81 <p>Well explained 👍</p>

80 <p>Well explained 👍</p>

82 <h3>Problem 4</h3>

81 <h3>Problem 4</h3>

83 <p>A team has -169 points and 13 players. How many points does each player have?</p>

82 <p>A team has -169 points and 13 players. How many points does each player have?</p>

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

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

85 <p>Each player has -13 points.</p>

84 <p>Each player has -13 points.</p>

86 <h3>Explanation</h3>

85 <h3>Explanation</h3>

87 <p>Dividing the points by the total players, we get the number of points for each player.</p>

86 <p>Dividing the points by the total players, we get the number of points for each player.</p>

88 <p>-169/13 = -13</p>

87 <p>-169/13 = -13</p>

89 <p>Well explained 👍</p>

88 <p>Well explained 👍</p>

90 <h3>Problem 5</h3>

89 <h3>Problem 5</h3>

91 <p>A library has -169 books to arrange in 13 shelves. How many books will go on each shelf?</p>

90 <p>A library has -169 books to arrange in 13 shelves. How many books will go on each shelf?</p>

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

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

93 <p>Each shelf will have -13 books.</p>

92 <p>Each shelf will have -13 books.</p>

94 <h3>Explanation</h3>

93 <h3>Explanation</h3>

95 <p>Divide the total books by the number of shelves.</p>

94 <p>Divide the total books by the number of shelves.</p>

96 <p>-169/13 = -13</p>

95 <p>-169/13 = -13</p>

97 <p>Well explained 👍</p>

96 <p>Well explained 👍</p>

98 <h2>FAQs on Factors of -169</h2>

97 <h2>FAQs on Factors of -169</h2>

99 <h3>1.What are the factors of -169?</h3>

98 <h3>1.What are the factors of -169?</h3>

100 <p>1, -1, 13, -13, 169, and -169 are the factors of -169.</p>

99 <p>1, -1, 13, -13, 169, and -169 are the factors of -169.</p>

101 <h3>2.Mention the prime factors of -169.</h3>

100 <h3>2.Mention the prime factors of -169.</h3>

102 <p>The prime factors of -169 are -1, 13, and 13.</p>

101 <p>The prime factors of -169 are -1, 13, and 13.</p>

103 <h3>3.Is -169 a multiple of 13?</h3>

102 <h3>3.Is -169 a multiple of 13?</h3>

104 <h3>4.Mention the factor pairs of -169?</h3>

103 <h3>4.Mention the factor pairs of -169?</h3>

105 <p>(1, -169), (-1, 169), (13, -13), and (-13, 13) are the factor pairs of -169.</p>

104 <p>(1, -169), (-1, 169), (13, -13), and (-13, 13) are the factor pairs of -169.</p>

106 <h3>5.Is -169 a perfect square?</h3>

105 <h3>5.Is -169 a perfect square?</h3>

107 <p>Yes, -169 is a<a>perfect square</a>because it can be expressed as the square of -13.</p>

106 <p>Yes, -169 is a<a>perfect square</a>because it can be expressed as the square of -13.</p>

108 <h2>Important Glossaries for Factor of -169</h2>

107 <h2>Important Glossaries for Factor of -169</h2>

109 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -169 are 1, -1, 13, -13, 169, and -169. </li>

108 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -169 are 1, -1, 13, -13, 169, and -169. </li>

110 <li><strong>Prime factors:</strong>The factors that are prime numbers. For example, 13 is a prime factor of -169. </li>

109 <li><strong>Prime factors:</strong>The factors that are prime numbers. For example, 13 is a prime factor of -169. </li>

111 <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 -169 are (1, -169) and (13, -13). </li>

110 <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 -169 are (1, -169) and (13, -13). </li>

112 <li><strong>Perfect square:</strong>A number that is the square of an integer. For example, -169 is a perfect square because it is the square of -13. </li>

111 <li><strong>Perfect square:</strong>A number that is the square of an integer. For example, -169 is a perfect square because it is the square of -13. </li>

113 <li><strong>Negative factors:</strong>Factors that are negative numbers, such as -1, -13, and -169 in the factors of -169.</li>

112 <li><strong>Negative factors:</strong>Factors that are negative numbers, such as -1, -13, and -169 in the factors of -169.</li>

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

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

115 <p>▶</p>

114 <p>▶</p>

116 <h2>Hiralee Lalitkumar Makwana</h2>

115 <h2>Hiralee Lalitkumar Makwana</h2>

117 <h3>About the Author</h3>

116 <h3>About the Author</h3>

118 <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>

117 <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>

119 <h3>Fun Fact</h3>

118 <h3>Fun Fact</h3>

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

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