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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 -87, how they are used in real life, and tips to learn them quickly.</p>

4 <h2>What are the Factors of -87?</h2>

5 <p>The<a>numbers</a>that divide -87 evenly are known as<a>factors</a><a>of</a>-87.</p>

6 <p>A factor of -87 is a number that divides the number without<a>remainder</a>.</p>

7 <p>The Posituve factors of -87 are 1, 3, 29, and 87.</p>

8 <p><strong>Negative factors of -87:</strong>-1, -3, -29, and -87.</p>

9 <p><strong>Prime factors of -87:</strong>3 and 29.</p>

10 <p><strong>Prime factorization of -87:</strong>-1 × 3 × 29.</p>

11 <p>The<a>sum</a>of positive factors of 87: 1 + 3 + 29 + 87 = 120</p>

12 <h2>How to Find Factors of -87?</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 -87. Identifying the numbers which are multiplied to get the number -87 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply -87 by 1, -87 × 1 = -87.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give -87 after multiplying 3 × -29 = -87</p>

21 <p>Therefore, the positive factor pairs of -87 are: (1, 87), (3, 29).</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 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>

25 <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>

27 <p><strong>Step 1:</strong>Divide -87 by 1, -87 ÷ 1 = -87.</p>

26 <p><strong>Step 1:</strong>Divide -87 by 1, -87 ÷ 1 = -87.</p>

28 <p><strong>Step 2:</strong>Continue dividing -87 by the numbers until the remainder becomes 0.</p>

27 <p><strong>Step 2:</strong>Continue dividing -87 by the numbers until the remainder becomes 0.</p>

29 <p>-87 ÷ 1 = -87</p>

28 <p>-87 ÷ 1 = -87</p>

30 <p>-87 ÷ 3 = -29</p>

29 <p>-87 ÷ 3 = -29</p>

31 <p>Therefore, the factors of -87 are: 1, 3, 29, 87.</p>

30 <p>Therefore, the factors of -87 are: 1, 3, 29, 87.</p>

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

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

33 <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>

32 <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>

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

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

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

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

36 </ul><p><strong>Using Prime Factorization:</strong>In this process, prime factors of -87 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

35 </ul><p><strong>Using Prime Factorization:</strong>In this process, prime factors of -87 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

37 <p>-87 ÷ 3 = -29</p>

36 <p>-87 ÷ 3 = -29</p>

38 <p>-29 ÷ 29 = -1</p>

37 <p>-29 ÷ 29 = -1</p>

39 <p>The prime factors of -87 are 3 and 29.</p>

38 <p>The prime factors of -87 are 3 and 29.</p>

40 <p>The prime factorization of -87 is: -1 × 3 × 29.</p>

39 <p>The prime factorization of -87 is: -1 × 3 × 29.</p>

41 <h3>Factor Tree</h3>

40 <h3>Factor Tree</h3>

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

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

43 <p><strong>Step 1:</strong>Firstly, -87 is divided by 3 to get -29. Here, -29 is a negative prime number.</p>

42 <p><strong>Step 1:</strong>Firstly, -87 is divided by 3 to get -29. Here, -29 is a negative prime number.</p>

44 <p>So, the prime factorization of -87 is: -1 × 3 × 29.</p>

43 <p>So, the prime factorization of -87 is: -1 × 3 × 29.</p>

45 <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>

44 <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>

46 <p><strong>Positive factor pairs of -87:</strong>(1, 87), (3, 29).</p>

45 <p><strong>Positive factor pairs of -87:</strong>(1, 87), (3, 29).</p>

47 <p><strong>Negative factor pairs of -87:</strong>(-1, -87), (-3, -29).</p>

46 <p><strong>Negative factor pairs of -87:</strong>(-1, -87), (-3, -29).</p>

48 <h2>Common Mistakes and How to Avoid Them in Factors of -87</h2>

47 <h2>Common Mistakes and How to Avoid Them in Factors of -87</h2>

49 <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>

48 <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>

50 <h3>Problem 1</h3>

49 <h3>Problem 1</h3>

51 <p>A company has -87 units of loss. If they divide the loss equally among 3 departments, how much loss will each department bear?</p>

50 <p>A company has -87 units of loss. If they divide the loss equally among 3 departments, how much loss will each department bear?</p>

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

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

53 <p>Each department will bear -29 units of loss.</p>

52 <p>Each department will bear -29 units of loss.</p>

54 <h3>Explanation</h3>

53 <h3>Explanation</h3>

55 <p>To divide the loss equally, we need to divide the total loss by the number of departments.</p>

54 <p>To divide the loss equally, we need to divide the total loss by the number of departments.</p>

56 <p>-87/3 = -29</p>

55 <p>-87/3 = -29</p>

57 <p>Well explained 👍</p>

56 <p>Well explained 👍</p>

58 <h3>Problem 2</h3>

57 <h3>Problem 2</h3>

59 <p>A rectangle has a total area of -87 square meters, and the width is 3 meters. Find the length?</p>

58 <p>A rectangle has a total area of -87 square meters, and the width is 3 meters. Find the length?</p>

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

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

61 <p>-29 meters.</p>

60 <p>-29 meters.</p>

62 <h3>Explanation</h3>

61 <h3>Explanation</h3>

63 <p>To find the length of the rectangle, we use the formula, Area = length × width -87 = length × 3</p>

62 <p>To find the length of the rectangle, we use the formula, Area = length × width -87 = length × 3</p>

64 <p>To find the value of length, we need to shift 3 to the left side.</p>

63 <p>To find the value of length, we need to shift 3 to the left side.</p>

65 <p>-87/3 = length</p>

64 <p>-87/3 = length</p>

66 <p>Length = -29.</p>

65 <p>Length = -29.</p>

67 <p>Well explained 👍</p>

66 <p>Well explained 👍</p>

68 <h3>Problem 3</h3>

67 <h3>Problem 3</h3>

69 <p>A refrigerator is set to -87 degrees and has three cooling sections. If each section has an equal drop in temperature, what is the temperature drop in each section?</p>

68 <p>A refrigerator is set to -87 degrees and has three cooling sections. If each section has an equal drop in temperature, what is the temperature drop in each section?</p>

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

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

71 <p>Each section experiences -29 degrees of temperature drop.</p>

70 <p>Each section experiences -29 degrees of temperature drop.</p>

72 <h3>Explanation</h3>

71 <h3>Explanation</h3>

73 <p>To find the temperature drop in each section, divide the total temperature by the sections.</p>

72 <p>To find the temperature drop in each section, divide the total temperature by the sections.</p>

74 <p>-87/3 = -29</p>

73 <p>-87/3 = -29</p>

75 <p>Well explained 👍</p>

74 <p>Well explained 👍</p>

76 <h3>Problem 4</h3>

75 <h3>Problem 4</h3>

77 <p>There are 87 students in a class, and they are divided into 3 teams. How many students are in each team?</p>

76 <p>There are 87 students in a class, and they are divided into 3 teams. How many students are in each team?</p>

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

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

79 <p>There are 29 students in each team.</p>

78 <p>There are 29 students in each team.</p>

80 <h3>Explanation</h3>

79 <h3>Explanation</h3>

81 <p>Dividing the students with the total teams, we will get the number of students in each team.</p>

80 <p>Dividing the students with the total teams, we will get the number of students in each team.</p>

82 <p>87/3 = 29</p>

81 <p>87/3 = 29</p>

83 <p>Well explained 👍</p>

82 <p>Well explained 👍</p>

84 <h3>Problem 5</h3>

83 <h3>Problem 5</h3>

85 <p>87 books need to be arranged in 3 shelves. How many books will go on each shelf?</p>

84 <p>87 books need to be arranged in 3 shelves. How many books will go on each shelf?</p>

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

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

87 <p>Each of the shelves has 29 books.</p>

86 <p>Each of the shelves has 29 books.</p>

88 <h3>Explanation</h3>

87 <h3>Explanation</h3>

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

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

90 <p>87/3 = 29</p>

89 <p>87/3 = 29</p>

91 <p>Well explained 👍</p>

90 <p>Well explained 👍</p>

92 <h2>FAQs on Factors of -87</h2>

91 <h2>FAQs on Factors of -87</h2>

93 <h3>1.What are the factors of -87?</h3>

92 <h3>1.What are the factors of -87?</h3>

94 <p>1, 3, 29, and 87 are the factors of -87.</p>

93 <p>1, 3, 29, and 87 are the factors of -87.</p>

95 <h3>2.Mention the prime factors of -87.</h3>

94 <h3>2.Mention the prime factors of -87.</h3>

96 <p>The prime factors of -87 are 3 and 29.</p>

95 <p>The prime factors of -87 are 3 and 29.</p>

97 <h3>3.Is 87 a multiple of 3?</h3>

96 <h3>3.Is 87 a multiple of 3?</h3>

98 <h3>4.Mention the factor pairs of -87?</h3>

97 <h3>4.Mention the factor pairs of -87?</h3>

99 <p>(1, 87), (3, 29) are the positive factor pairs of -87.</p>

98 <p>(1, 87), (3, 29) are the positive factor pairs of -87.</p>

100 <h3>5.What is the product of the prime factors of -87?</h3>

99 <h3>5.What is the product of the prime factors of -87?</h3>

101 <p>The<a>product</a>of the prime factors of -87 is -1 × 3 × 29 = -87.</p>

100 <p>The<a>product</a>of the prime factors of -87 is -1 × 3 × 29 = -87.</p>

102 <h2>Important Glossaries for Factors of -87</h2>

101 <h2>Important Glossaries for Factors of -87</h2>

103 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -87 are 1, 3, 29, and 87.</li>

102 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -87 are 1, 3, 29, and 87.</li>

104 </ul><ul><li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 3 and 29 are prime factors of -87.</li>

103 </ul><ul><li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 3 and 29 are prime factors of -87.</li>

105 </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 -87 are (1, 87), (3, 29).</li>

104 </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 -87 are (1, 87), (3, 29).</li>

106 </ul><ul><li><strong>Negative factors:</strong>These are factors of a number that are negative. For example, -1, -3, -29, and -87 for -87.</li>

105 </ul><ul><li><strong>Negative factors:</strong>These are factors of a number that are negative. For example, -1, -3, -29, and -87 for -87.</li>

107 </ul><ul><li><strong>Prime factorization:</strong>This is the expression of a number as the product of its prime factors. For example, the prime factorization of -87 is -1 × 3 × 29.</li>

106 </ul><ul><li><strong>Prime factorization:</strong>This is the expression of a number as the product of its prime factors. For example, the prime factorization of -87 is -1 × 3 × 29.</li>

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

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

109 <p>▶</p>

108 <p>▶</p>

110 <h2>Hiralee Lalitkumar Makwana</h2>

109 <h2>Hiralee Lalitkumar Makwana</h2>

111 <h3>About the Author</h3>

110 <h3>About the Author</h3>

112 <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>

111 <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>

113 <h3>Fun Fact</h3>

112 <h3>Fun Fact</h3>

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

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