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2 <p>Last updated on<strong>December 11, 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 the items equally, arranging things, etc. In this topic, we will learn about the factors of -27, how they are used in real life, and the tips to learn them quickly.</p>

4 <h2>What are the Factors of -27?</h2>

5 <p>The<a>numbers</a>that divide -27 evenly are known as<a>factors</a><a>of</a>-27.</p>

6 <p>A factor of -27 is a number that divides the number without<a>remainder</a>.</p>

7 <p>The factors of -27 are 1, 3, 9, and 27.</p>

8 <p><strong>Negative factors of -27:</strong>-1, -3, -9, and -27.</p>

9 <p>Prime factors of -27: 3.</p>

10 <p><strong>Prime factorization of -27:</strong>-1 × 3³.</p>

11 <p>The<a>sum</a>of factors of -27: 1 + 3 + 9 + 27 = 40.</p>

12 <h2>How to Find Factors of -27?</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<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 -27. Identifying the numbers which are multiplied to get the number -27 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply -27 by -1, -27 × -1 = 27.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give -27 after multiplying</p>

21 <p>-1 × 27 = -27</p>

22 <p>-3 × 9 = -27</p>

23 <p><strong>Therefore, the positive factor pairs of -27 are: (1, 27), (3, 9).</strong></p>

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

25 <h3>Explore Our Programs</h3>

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

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

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 -27 by -1, -27 ÷ -1 = 27.</p>

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

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

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

31 <p>-27 ÷ -1 = 27</p>

30 <p>-27 ÷ -1 = 27</p>

32 <p>-27 ÷ -3 = 9</p>

31 <p>-27 ÷ -3 = 9</p>

33 <p>Therefore, the factors of -27 are: 1, 3, 9, 27.</p>

32 <p>Therefore, the factors of -27 are: 1, 3, 9, 27.</p>

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

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

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

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

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

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

38 </ul><p>Using Prime Factorization: In this process, prime factors of -27 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

37 </ul><p>Using Prime Factorization: In this process, prime factors of -27 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

39 <p>-27 ÷ -3 = 9</p>

38 <p>-27 ÷ -3 = 9</p>

40 <p>9 ÷ 3 = 3</p>

39 <p>9 ÷ 3 = 3</p>

41 <p>3 ÷ 3 = 1</p>

40 <p>3 ÷ 3 = 1</p>

42 <p>The prime factors of -27 are 3.</p>

41 <p>The prime factors of -27 are 3.</p>

43 <p>The prime factorization of -27 is: -1 × 3³.</p>

42 <p>The prime factorization of -27 is: -1 × 3³.</p>

44 <h3>Factor Tree</h3>

43 <h3>Factor Tree</h3>

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

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

46 <p><strong>Step 1:</strong>Firstly, -27 is divided by -3 to get 9.</p>

45 <p><strong>Step 1:</strong>Firstly, -27 is divided by -3 to get 9.</p>

47 <p><strong>Step 2:</strong>Now divide 9 by 3 to get 3.</p>

46 <p><strong>Step 2:</strong>Now divide 9 by 3 to get 3.</p>

48 <p><strong>Step 3:</strong>Then divide 3 by 3 to get 1. Here, 3 is the smallest prime number that cannot be divided anymore.</p>

47 <p><strong>Step 3:</strong>Then divide 3 by 3 to get 1. Here, 3 is the smallest prime number that cannot be divided anymore.</p>

49 <p>So, the prime factorization of -27 is: -1 × 3³.</p>

48 <p>So, the prime factorization of -27 is: -1 × 3³.</p>

50 <p>Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.</p>

49 <p>Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.</p>

51 <p>Positive factor pairs of -27: (1, 27), (3, 9).</p>

50 <p>Positive factor pairs of -27: (1, 27), (3, 9).</p>

52 <p>Negative factor pairs of -27: (-1, -27), (-3, -9).</p>

51 <p>Negative factor pairs of -27: (-1, -27), (-3, -9).</p>

53 <h2>Common Mistakes and How to Avoid Them in Factors of -27</h2>

52 <h2>Common Mistakes and How to Avoid Them in Factors of -27</h2>

54 <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>

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>

55 <h3>Problem 1</h3>

54 <h3>Problem 1</h3>

56 <p>There are 3 shelves and -27 books to arrange. How will they divide it equally?</p>

55 <p>There are 3 shelves and -27 books to arrange. How will they divide it equally?</p>

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

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

58 <p>Each shelf will have -9 books.</p>

57 <p>Each shelf will have -9 books.</p>

59 <h3>Explanation</h3>

58 <h3>Explanation</h3>

60 <p>To divide the books equally, we need to divide the total books by the number of shelves.</p>

59 <p>To divide the books equally, we need to divide the total books by the number of shelves.</p>

61 <p>-27/3 = -9</p>

60 <p>-27/3 = -9</p>

62 <p>Well explained 👍</p>

61 <p>Well explained 👍</p>

63 <h3>Problem 2</h3>

62 <h3>Problem 2</h3>

64 <p>A baker has -27 cupcakes to place in boxes, and each box can hold 9 cupcakes. How many boxes does the baker need?</p>

63 <p>A baker has -27 cupcakes to place in boxes, and each box can hold 9 cupcakes. How many boxes does the baker need?</p>

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

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

66 <p>The baker needs -3 boxes.</p>

65 <p>The baker needs -3 boxes.</p>

67 <h3>Explanation</h3>

66 <h3>Explanation</h3>

68 <p>To find out how many boxes are needed, divide the total number of cupcakes by the number each box can hold.</p>

67 <p>To find out how many boxes are needed, divide the total number of cupcakes by the number each box can hold.</p>

69 <p>-27/9 = -3</p>

68 <p>-27/9 = -3</p>

70 <p>Well explained 👍</p>

69 <p>Well explained 👍</p>

71 <h3>Problem 3</h3>

70 <h3>Problem 3</h3>

72 <p>A group of people want to split -27 apples into bags with 3 apples each. How many bags do they need?</p>

71 <p>A group of people want to split -27 apples into bags with 3 apples each. How many bags do they need?</p>

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

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

74 <p>They need -9 bags.</p>

73 <p>They need -9 bags.</p>

75 <h3>Explanation</h3>

74 <h3>Explanation</h3>

76 <p>To find the number of bags, divide the total apples by the number of apples per bag.</p>

75 <p>To find the number of bags, divide the total apples by the number of apples per bag.</p>

77 <p>-27/3 = -9</p>

76 <p>-27/3 = -9</p>

78 <p>Well explained 👍</p>

77 <p>Well explained 👍</p>

79 <h3>Problem 4</h3>

78 <h3>Problem 4</h3>

80 <p>A company is distributing -27 pens equally among 9 departments. How many pens will each department receive?</p>

79 <p>A company is distributing -27 pens equally among 9 departments. How many pens will each department receive?</p>

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

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

82 <p>Each department will receive -3 pens.</p>

81 <p>Each department will receive -3 pens.</p>

83 <h3>Explanation</h3>

82 <h3>Explanation</h3>

84 <p>To find the number of pens each department will receive, divide the total pens by the number of departments. -27/9 = -3</p>

83 <p>To find the number of pens each department will receive, divide the total pens by the number of departments. -27/9 = -3</p>

85 <p>Well explained 👍</p>

84 <p>Well explained 👍</p>

86 <h3>Problem 5</h3>

85 <h3>Problem 5</h3>

87 <p>A gardener has -27 plants and wants to create rows of 3 plants each. How many rows can he create?</p>

86 <p>A gardener has -27 plants and wants to create rows of 3 plants each. How many rows can he create?</p>

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

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

89 <p>He can create -9 rows.</p>

88 <p>He can create -9 rows.</p>

90 <h3>Explanation</h3>

89 <h3>Explanation</h3>

91 <p>Divide the total number of plants by the number of plants per row.</p>

90 <p>Divide the total number of plants by the number of plants per row.</p>

92 <p>-27/3 = -9</p>

91 <p>-27/3 = -9</p>

93 <p>Well explained 👍</p>

92 <p>Well explained 👍</p>

94 <h2>FAQs on Factors of -27</h2>

93 <h2>FAQs on Factors of -27</h2>

95 <h3>1.What are the factors of -27?</h3>

94 <h3>1.What are the factors of -27?</h3>

96 <p>1, 3, 9, 27 are the factors of -27.</p>

95 <p>1, 3, 9, 27 are the factors of -27.</p>

97 <h3>2.Mention the prime factors of -27.</h3>

96 <h3>2.Mention the prime factors of -27.</h3>

98 <p>The prime factor of -27 is 3.</p>

97 <p>The prime factor of -27 is 3.</p>

99 <h3>3.Is -27 a multiple of 3?</h3>

98 <h3>3.Is -27 a multiple of 3?</h3>

100 <h3>4.Mention the factor pairs of -27?</h3>

99 <h3>4.Mention the factor pairs of -27?</h3>

101 <p>(1, 27), (3, 9) are the factor pairs of -27.</p>

100 <p>(1, 27), (3, 9) are the factor pairs of -27.</p>

102 <h3>5.What is the cube of 3?</h3>

101 <h3>5.What is the cube of 3?</h3>

103 <h2>Important Glossaries for Factor of -27</h2>

102 <h2>Important Glossaries for Factor of -27</h2>

104 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -27 are 1, 3, 9, and 27. </li>

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 -27 are 1, 3, 9, and 27. </li>

105 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 3 is a prime factor of -27. </li>

104 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 3 is a prime factor of -27. </li>

106 <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 -27 are (1, 27), (3, 9). </li>

105 <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 -27 are (1, 27), (3, 9). </li>

107 <li><strong>Negative factors:</strong>Factors that are negative numbers. For example, -1, -3, -9, and -27 are the negative factors of -27. </li>

106 <li><strong>Negative factors:</strong>Factors that are negative numbers. For example, -1, -3, -9, and -27 are the negative factors of -27. </li>

108 <li><strong>Prime factorization:</strong>The process of breaking down a number into its prime factors. For example, the prime factorization of -27 is -1 × 3³.</li>

107 <li><strong>Prime factorization:</strong>The process of breaking down a number into its prime factors. For example, the prime factorization of -27 is -1 × 3³.</li>

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

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

110 <p>▶</p>

109 <p>▶</p>

111 <h2>Hiralee Lalitkumar Makwana</h2>

110 <h2>Hiralee Lalitkumar Makwana</h2>

112 <h3>About the Author</h3>

111 <h3>About the Author</h3>

113 <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>

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>

114 <h3>Fun Fact</h3>

113 <h3>Fun Fact</h3>

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

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