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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 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 -36, how they are used in real life, and tips to learn them quickly.</p>

4 <h2>What are the Factors of -36?</h2>

5 <p>The<a>numbers</a>that divide -36 evenly are known as<a>factors</a><a>of</a>-36.</p>

6 <p>A factor of -36 is a number that divides the number without a<a>remainder</a>.</p>

7 <p>The factors of -36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.</p>

8 <p>Negative factors of -36: -1, -2, -3, -4, -6, -9, -12, -18, and -36.</p>

9 <p>Prime factors of -36: 2 and 3.</p>

10 <p><strong>Prime factorization of -36</strong>: 2² × 3².</p>

11 <p>The<a>sum</a>of factors of 36 (ignoring the negative sign): 1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 + 36 = 91</p>

12 <h2>How to Find Factors of -36?</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 Prime factorization</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 -36. Identifying the numbers which are multiplied to get the number -36 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply -36 by 1, -36 × 1 = -36.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give -36 after multiplying -1 × 36 = -36</p>

21 <p>-2 × 18 = -36</p>

22 <p>-3 × 12 = -36</p>

23 <p>-4 × 9 = -36</p>

24 <p>-6 × 6 = -36</p>

25 <p>Therefore, the positive factor pairs of -36 are: (1, 36), (2, 18), (3, 12), (4, 9), (6, 6).</p>

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

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

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

30 <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>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>

31 <p><strong>Step 1:</strong>Divide -36 by 1, -36 ÷ 1 = -36.</p>

30 <p><strong>Step 1:</strong>Divide -36 by 1, -36 ÷ 1 = -36.</p>

32 <p><strong>Step 2:</strong>Continue dividing -36 by the numbers until the remainder becomes 0.</p>

31 <p><strong>Step 2:</strong>Continue dividing -36 by the numbers until the remainder becomes 0.</p>

33 <p>-36 ÷ 1 = -36</p>

32 <p>-36 ÷ 1 = -36</p>

34 <p>-36 ÷ 2 = -18</p>

33 <p>-36 ÷ 2 = -18</p>

35 <p>-36 ÷ 3 = -12</p>

34 <p>-36 ÷ 3 = -12</p>

36 <p>-36 ÷ 4 = -9</p>

35 <p>-36 ÷ 4 = -9</p>

37 <p>-36 ÷ 6 = -6</p>

36 <p>-36 ÷ 6 = -6</p>

38 <p>Therefore, the factors of -36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36.</p>

37 <p>Therefore, the factors of -36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36.</p>

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

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

40 <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>

39 <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>

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

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

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

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

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

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

44 <p>36 ÷ 2 = 18</p>

43 <p>36 ÷ 2 = 18</p>

45 <p>18 ÷ 2 = 9</p>

44 <p>18 ÷ 2 = 9</p>

46 <p>9 ÷ 3 = 3</p>

45 <p>9 ÷ 3 = 3</p>

47 <p>3 ÷ 3 = 1</p>

46 <p>3 ÷ 3 = 1</p>

48 <p>The prime factors of -36 are 2 and 3.</p>

47 <p>The prime factors of -36 are 2 and 3.</p>

49 <p>The prime factorization of -36 is: 2² × 3².</p>

48 <p>The prime factorization of -36 is: 2² × 3².</p>

50 <h3>Factor Tree</h3>

49 <h3>Factor Tree</h3>

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

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

52 <p><strong>Step 1:</strong>Firstly, 36 is divided by 2 to get 18.</p>

51 <p><strong>Step 1:</strong>Firstly, 36 is divided by 2 to get 18.</p>

53 <p><strong>Step 2:</strong>Now divide 18 by 2 to get 9.</p>

52 <p><strong>Step 2:</strong>Now divide 18 by 2 to get 9.</p>

54 <p><strong>Step 3:</strong>Then divide 9 by 3 to get 3.</p>

53 <p><strong>Step 3:</strong>Then divide 9 by 3 to get 3.</p>

55 <p><strong>Step 4:</strong>Divide 3 by 3 to get 1. Here, 3 is the smallest prime number, that cannot be divided anymore.</p>

54 <p><strong>Step 4:</strong>Divide 3 by 3 to get 1. Here, 3 is the smallest prime number, that cannot be divided anymore.</p>

56 <p>So, the prime factorization of -36 is: 2² × 3².</p>

55 <p>So, the prime factorization of -36 is: 2² × 3².</p>

57 <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>

56 <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>

58 <p>Positive factor pairs of -36: (1, 36), (2, 18), (3, 12), (4, 9), and (6, 6).</p>

57 <p>Positive factor pairs of -36: (1, 36), (2, 18), (3, 12), (4, 9), and (6, 6).</p>

59 <p>Negative factor pairs of -36: (-1, -36), (-2, -18), (-3, -12), (-4, -9), and (-6, -6).</p>

58 <p>Negative factor pairs of -36: (-1, -36), (-2, -18), (-3, -12), (-4, -9), and (-6, -6).</p>

60 <h2>Common Mistakes and How to Avoid Them in Factors of -36</h2>

59 <h2>Common Mistakes and How to Avoid Them in Factors of -36</h2>

61 <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>

60 <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 <h3>Problem 1</h3>

61 <h3>Problem 1</h3>

63 <p>There are 9 teams and -36 points to distribute. How will they divide it equally?</p>

62 <p>There are 9 teams and -36 points to distribute. How will they divide it equally?</p>

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

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

65 <p>They will get -4 points each.</p>

64 <p>They will get -4 points each.</p>

66 <h3>Explanation</h3>

65 <h3>Explanation</h3>

67 <p>To divide the points equally, we need to divide the total points by the number of teams.</p>

66 <p>To divide the points equally, we need to divide the total points by the number of teams.</p>

68 <p>-36/9 = -4</p>

67 <p>-36/9 = -4</p>

69 <p>Well explained 👍</p>

68 <p>Well explained 👍</p>

70 <h3>Problem 2</h3>

69 <h3>Problem 2</h3>

71 <p>A rectangular garden has a length of 6 meters and a total area of -36 square meters. Find the width.</p>

70 <p>A rectangular garden has a length of 6 meters and a total area of -36 square meters. Find the width.</p>

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

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

73 <p>-6 meters.</p>

72 <p>-6 meters.</p>

74 <h3>Explanation</h3>

73 <h3>Explanation</h3>

75 <p>To find the width of the garden, we use the formula, Area = length × width</p>

74 <p>To find the width of the garden, we use the formula, Area = length × width</p>

76 <p>-36 = 6 × width</p>

75 <p>-36 = 6 × width</p>

77 <p>To find the value of width, we need to shift 6 to the left side.</p>

76 <p>To find the value of width, we need to shift 6 to the left side.</p>

78 <p>-36/6 = width</p>

77 <p>-36/6 = width</p>

79 <p>Width = -6.</p>

78 <p>Width = -6.</p>

80 <p>Well explained 👍</p>

79 <p>Well explained 👍</p>

81 <h3>Problem 3</h3>

80 <h3>Problem 3</h3>

82 <p>There are 12 baskets and -36 apples. How many apples will be in each basket?</p>

81 <p>There are 12 baskets and -36 apples. How many apples will be in each basket?</p>

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

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

84 <p>Each basket will have -3 apples.</p>

83 <p>Each basket will have -3 apples.</p>

85 <h3>Explanation</h3>

84 <h3>Explanation</h3>

86 <p>To find the apples in each basket, divide the total apples by the number of baskets.</p>

85 <p>To find the apples in each basket, divide the total apples by the number of baskets.</p>

87 <p>-36/12 = -3</p>

86 <p>-36/12 = -3</p>

88 <p>Well explained 👍</p>

87 <p>Well explained 👍</p>

89 <h3>Problem 4</h3>

88 <h3>Problem 4</h3>

90 <p>In a school, there are -36 students, and 3 groups. How many students are there in each group?</p>

89 <p>In a school, there are -36 students, and 3 groups. How many students are there in each group?</p>

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

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

92 <p>There are -12 students in each group.</p>

91 <p>There are -12 students in each group.</p>

93 <h3>Explanation</h3>

92 <h3>Explanation</h3>

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

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

95 <p>-36/3 = -12</p>

94 <p>-36/3 = -12</p>

96 <p>Well explained 👍</p>

95 <p>Well explained 👍</p>

97 <h3>Problem 5</h3>

96 <h3>Problem 5</h3>

98 <p>-36 books need to be arranged in 9 shelves. How many books will go on each shelf?</p>

97 <p>-36 books need to be arranged in 9 shelves. How many books will go on each shelf?</p>

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

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

100 <p>Each of the shelves has -4 books.</p>

99 <p>Each of the shelves has -4 books.</p>

101 <h3>Explanation</h3>

100 <h3>Explanation</h3>

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

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

103 <p>-36/9 = -4</p>

102 <p>-36/9 = -4</p>

104 <p>Well explained 👍</p>

103 <p>Well explained 👍</p>

105 <h2>FAQs on Factors of -36</h2>

104 <h2>FAQs on Factors of -36</h2>

106 <h3>1.What are the factors of -36?</h3>

105 <h3>1.What are the factors of -36?</h3>

107 <p>1, 2, 3, 4, 6, 9, 12, 18, 36 are the factors of -36.</p>

106 <p>1, 2, 3, 4, 6, 9, 12, 18, 36 are the factors of -36.</p>

108 <h3>2.Mention the prime factors of -36.</h3>

107 <h3>2.Mention the prime factors of -36.</h3>

109 <p>The prime factors of -36 are 2² × 3².</p>

108 <p>The prime factors of -36 are 2² × 3².</p>

110 <h3>3.Is -36 a multiple of 3?</h3>

109 <h3>3.Is -36 a multiple of 3?</h3>

111 <h3>4.Mention the factor pairs of -36?</h3>

110 <h3>4.Mention the factor pairs of -36?</h3>

112 <p>(1, 36), (2, 18), (3, 12), (4, 9), and (6, 6) are the factor pairs of -36.</p>

111 <p>(1, 36), (2, 18), (3, 12), (4, 9), and (6, 6) are the factor pairs of -36.</p>

113 <h3>5.What is the square of -36?</h3>

112 <h3>5.What is the square of -36?</h3>

114 <h2>Important Glossaries for Factor of -36</h2>

113 <h2>Important Glossaries for Factor of -36</h2>

115 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.</li>

114 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.</li>

116 </ul><ul><li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 2 and 3 are prime factors of -36.</li>

115 </ul><ul><li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 2 and 3 are prime factors of -36.</li>

117 </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 -36 are (1, 36), (2, 18), etc.</li>

116 </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 -36 are (1, 36), (2, 18), etc.</li>

118 </ul><ul><li><strong>Negative factors:</strong>Factors that are negative. For example, -1, -2, -3, etc., are negative factors of -36.</li>

117 </ul><ul><li><strong>Negative factors:</strong>Factors that are negative. For example, -1, -2, -3, etc., are negative factors of -36.</li>

119 </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 -36 is 2² × 3².</li>

118 </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 -36 is 2² × 3².</li>

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

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

121 <p>▶</p>

120 <p>▶</p>

122 <h2>Hiralee Lalitkumar Makwana</h2>

121 <h2>Hiralee Lalitkumar Makwana</h2>

123 <h3>About the Author</h3>

122 <h3>About the Author</h3>

124 <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 <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>

125 <h3>Fun Fact</h3>

124 <h3>Fun Fact</h3>

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

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