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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 -180, how they are used in real life, and tips to learn them quickly.</p>

4 <h2>What are the Factors of -180?</h2>

5 <p>The<a>numbers</a>that divide -180 evenly are known as<a>factors</a><a>of</a>-180.</p>

6 <p>A factor of -180 is a number that divides the number without a<a>remainder</a>.</p>

7 <p>The positive factors of -180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180.</p>

8 <p><strong>Negative factors of -180:</strong>-1, -2, -3, -4, -5, -6, -9, -10, -12, -15, -18, -20, -30, -36, -45, -60, -90, and -180.</p>

9 <p><strong>Prime factors of 180:</strong>2, 3, and 5.</p>

10 <p><strong>Prime factorization of 180:</strong>2² × 3² × 5.</p>

11 <p>The<a>sum</a>of the positive factors of 180: 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 30 + 36 + 45 + 60 + 90 + 180 = 546</p>

12 <h2>How to Find Factors of -180?</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 180. Identifying the numbers which are multiplied to get the number 180 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply 180 by 1, 180 × 1 = 180.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give 180 after multiplying</p>

21 <p>2 × 90 = 180</p>

22 <p>3 × 60 = 180</p>

23 <p>4 × 45 = 180</p>

24 <p>5 × 36 = 180</p>

25 <p>6 × 30 = 180</p>

26 <p>9 × 20 = 180</p>

27 <p>10 × 18 = 180</p>

28 <p>12 × 15 = 180</p>

29 <p>Therefore, the positive factor pairs of 180 are: (1, 180), (2, 90), (3, 60), (4, 45), (5, 36), (6, 30), (9, 20), (10, 18), (12, 15).</p>

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

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

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

34 <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>

33 <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>

35 <p><strong>Step 1:</strong>Divide 180 by 1, 180 ÷ 1 = 180.</p>

34 <p><strong>Step 1:</strong>Divide 180 by 1, 180 ÷ 1 = 180.</p>

36 <p><strong>Step 2:</strong>Continue dividing 180 by the numbers until the remainder becomes 0.</p>

35 <p><strong>Step 2:</strong>Continue dividing 180 by the numbers until the remainder becomes 0.</p>

37 <p>180 ÷ 1 = 180</p>

36 <p>180 ÷ 1 = 180</p>

38 <p>180 ÷ 2 = 90</p>

37 <p>180 ÷ 2 = 90</p>

39 <p>180 ÷ 3 = 60</p>

38 <p>180 ÷ 3 = 60</p>

40 <p>180 ÷ 4 = 45</p>

39 <p>180 ÷ 4 = 45</p>

41 <p>180 ÷ 5 = 36</p>

40 <p>180 ÷ 5 = 36</p>

42 <p>180 ÷ 6 = 30</p>

41 <p>180 ÷ 6 = 30</p>

43 <p>180 ÷ 9 = 20</p>

42 <p>180 ÷ 9 = 20</p>

44 <p>180 ÷ 10 = 18</p>

43 <p>180 ÷ 10 = 18</p>

45 <p>180 ÷ 12 = 15</p>

44 <p>180 ÷ 12 = 15</p>

46 <p>Therefore, the factors of 180 are: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180.</p>

45 <p>Therefore, the factors of 180 are: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180.</p>

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

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

48 <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>

47 <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>

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

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

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

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

51 </ul><p>Using Prime Factorization: In this process, prime factors of 180 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

50 </ul><p>Using Prime Factorization: In this process, prime factors of 180 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

52 <p>180 ÷ 2 = 90</p>

51 <p>180 ÷ 2 = 90</p>

53 <p>90 ÷ 2 = 45</p>

52 <p>90 ÷ 2 = 45</p>

54 <p>45 ÷ 3 = 15</p>

53 <p>45 ÷ 3 = 15</p>

55 <p>15 ÷ 3 = 5</p>

54 <p>15 ÷ 3 = 5</p>

56 <p>5 ÷ 5 = 1</p>

55 <p>5 ÷ 5 = 1</p>

57 <p>The prime factors of 180 are 2, 3, and 5.</p>

56 <p>The prime factors of 180 are 2, 3, and 5.</p>

58 <p>The prime factorization of 180 is: 2² × 3² × 5.</p>

57 <p>The prime factorization of 180 is: 2² × 3² × 5.</p>

59 <h2>Factor Tree</h2>

58 <h2>Factor Tree</h2>

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

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

61 <p><strong>Step 1:</strong>Firstly, 180 is divided by 2 to get 90.</p>

60 <p><strong>Step 1:</strong>Firstly, 180 is divided by 2 to get 90.</p>

62 <p><strong>Step 2:</strong>Now divide 90 by 2 to get 45.</p>

61 <p><strong>Step 2:</strong>Now divide 90 by 2 to get 45.</p>

63 <p><strong>Step 3:</strong>Then divide 45 by 3 to get 15.</p>

62 <p><strong>Step 3:</strong>Then divide 45 by 3 to get 15.</p>

64 <p><strong>Step 4:</strong>Divide 15 by 3 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore.</p>

63 <p><strong>Step 4:</strong>Divide 15 by 3 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore.</p>

65 <p>So, the prime factorization of 180 is: 2² × 3² × 5.</p>

64 <p>So, the prime factorization of 180 is: 2² × 3² × 5.</p>

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

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

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

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

68 <p>Positive factor pairs of 180: (1, 180), (2, 90), (3, 60), (4, 45), (5, 36), (6, 30), (9, 20), (10, 18), (12, 15).</p>

67 <p>Positive factor pairs of 180: (1, 180), (2, 90), (3, 60), (4, 45), (5, 36), (6, 30), (9, 20), (10, 18), (12, 15).</p>

69 <p>Negative factor pairs of -180: (-1, -180), (-2, -90), (-3, -60), (-4, -45), (-5, -36), (-6, -30), (-9, -20), (-10, -18), (-12, -15).</p>

68 <p>Negative factor pairs of -180: (-1, -180), (-2, -90), (-3, -60), (-4, -45), (-5, -36), (-6, -30), (-9, -20), (-10, -18), (-12, -15).</p>

70 <h2>Common Mistakes and How to Avoid Them in Factors of -180</h2>

69 <h2>Common Mistakes and How to Avoid Them in Factors of -180</h2>

71 <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>

70 <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>

72 <h3>Problem 1</h3>

71 <h3>Problem 1</h3>

73 <p>There are 36 apples and -180 oranges. How will they divide the oranges equally?</p>

72 <p>There are 36 apples and -180 oranges. How will they divide the oranges equally?</p>

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

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

75 <p>Each will get 5 oranges.</p>

74 <p>Each will get 5 oranges.</p>

76 <h3>Explanation</h3>

75 <h3>Explanation</h3>

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

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

78 <p>-180/36 = 5</p>

77 <p>-180/36 = 5</p>

79 <p>Well explained 👍</p>

78 <p>Well explained 👍</p>

80 <h3>Problem 2</h3>

79 <h3>Problem 2</h3>

81 <p>A garden is rectangular, the length of the garden is 15 meters and the total area is -180 square meters. Find the width?</p>

80 <p>A garden is rectangular, the length of the garden is 15 meters and the total area is -180 square meters. Find the width?</p>

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

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

83 <p>-12 meters.</p>

82 <p>-12 meters.</p>

84 <h3>Explanation</h3>

83 <h3>Explanation</h3>

85 <p>To find the width of the garden, we use the formula,</p>

84 <p>To find the width of the garden, we use the formula,</p>

86 <p>Area = length × width</p>

85 <p>Area = length × width</p>

87 <p>-180 = 15 × width</p>

86 <p>-180 = 15 × width</p>

88 <p>To find the value of width, we need to shift 15 to the left side.</p>

87 <p>To find the value of width, we need to shift 15 to the left side.</p>

89 <p>-180/15 = width</p>

88 <p>-180/15 = width</p>

90 <p>Width = -12.</p>

89 <p>Width = -12.</p>

91 <p>Well explained 👍</p>

90 <p>Well explained 👍</p>

92 <h3>Problem 3</h3>

91 <h3>Problem 3</h3>

93 <p>There are 45 boxes and -180 candies. How many candies will be in each box?</p>

92 <p>There are 45 boxes and -180 candies. How many candies will be in each box?</p>

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

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

95 <p>Each box will have 4 candies.</p>

94 <p>Each box will have 4 candies.</p>

96 <h3>Explanation</h3>

95 <h3>Explanation</h3>

97 <p>To find the candies in each box, divide the total candies with the boxes.</p>

96 <p>To find the candies in each box, divide the total candies with the boxes.</p>

98 <p>-180/45 = 4</p>

97 <p>-180/45 = 4</p>

99 <p>Well explained 👍</p>

98 <p>Well explained 👍</p>

100 <h3>Problem 4</h3>

99 <h3>Problem 4</h3>

101 <p>In a class, there are -180 students, and 9 groups. How many students are there in each group?</p>

100 <p>In a class, there are -180 students, and 9 groups. How many students are there in each group?</p>

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

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

103 <p>There are -20 students in each group.</p>

102 <p>There are -20 students in each group.</p>

104 <h3>Explanation</h3>

103 <h3>Explanation</h3>

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

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

106 <p>-180/9 = -20</p>

105 <p>-180/9 = -20</p>

107 <p>Well explained 👍</p>

106 <p>Well explained 👍</p>

108 <h3>Problem 5</h3>

107 <h3>Problem 5</h3>

109 <p>-180 books need to be arranged in 15 shelves. How many books will go on each shelf?</p>

108 <p>-180 books need to be arranged in 15 shelves. How many books will go on each shelf?</p>

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

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

111 <p>Each of the shelves has -12 books.</p>

110 <p>Each of the shelves has -12 books.</p>

112 <h3>Explanation</h3>

111 <h3>Explanation</h3>

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

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

114 <p>-180/15 = -12</p>

113 <p>-180/15 = -12</p>

115 <p>Well explained 👍</p>

114 <p>Well explained 👍</p>

116 <h2>FAQs on Factors of -180</h2>

115 <h2>FAQs on Factors of -180</h2>

117 <h3>1.What are the factors of -180?</h3>

116 <h3>1.What are the factors of -180?</h3>

118 <p>1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180 are the factors of 180. The negative factors of -180 are -1, -2, -3, -4, -5, -6, -9, -10, -12, -15, -18, -20, -30, -36, -45, -60, -90, -180.</p>

117 <p>1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180 are the factors of 180. The negative factors of -180 are -1, -2, -3, -4, -5, -6, -9, -10, -12, -15, -18, -20, -30, -36, -45, -60, -90, -180.</p>

119 <h3>2.Mention the prime factors of -180.</h3>

118 <h3>2.Mention the prime factors of -180.</h3>

120 <p>The prime factors of 180 are 2² × 3² × 5.</p>

119 <p>The prime factors of 180 are 2² × 3² × 5.</p>

121 <h3>3.Is -180 a multiple of 9?</h3>

120 <h3>3.Is -180 a multiple of 9?</h3>

122 <h3>4.Mention the factor pairs of -180?</h3>

121 <h3>4.Mention the factor pairs of -180?</h3>

123 <p>(1, 180), (2, 90), (3, 60), (4, 45), (5, 36), (6, 30), (9, 20), (10, 18), (12, 15) are the positive factor pairs of 180. The negative factor pairs of -180 are (-1, -180), (-2, -90), (-3, -60), (-4, -45), (-5, -36), (-6, -30), (-9, -20), (-10, -18), (-12, -15).</p>

122 <p>(1, 180), (2, 90), (3, 60), (4, 45), (5, 36), (6, 30), (9, 20), (10, 18), (12, 15) are the positive factor pairs of 180. The negative factor pairs of -180 are (-1, -180), (-2, -90), (-3, -60), (-4, -45), (-5, -36), (-6, -30), (-9, -20), (-10, -18), (-12, -15).</p>

124 <h3>5.What is the square of 180?</h3>

123 <h3>5.What is the square of 180?</h3>

125 <h2>Important Glossaries for Factor of -180</h2>

124 <h2>Important Glossaries for Factor of -180</h2>

126 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180 along with their negative counterparts. </li>

125 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180 along with their negative counterparts. </li>

127 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 180. </li>

126 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 180. </li>

128 <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 positive factor pairs of 180 are (1, 180), (2, 90), etc. </li>

127 <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 positive factor pairs of 180 are (1, 180), (2, 90), etc. </li>

129 <li><strong>Prime factorization:</strong>The process of breaking down a number into its prime factors. For example, the prime factorization of 180 is 2² × 3² × 5. </li>

128 <li><strong>Prime factorization:</strong>The process of breaking down a number into its prime factors. For example, the prime factorization of 180 is 2² × 3² × 5. </li>

130 <li><strong>Negative factors:</strong>Factors that are negative counterparts of positive factors. For example, the negative factors of -180 include -1, -2, -3, etc.</li>

129 <li><strong>Negative factors:</strong>Factors that are negative counterparts of positive factors. For example, the negative factors of -180 include -1, -2, -3, etc.</li>

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

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

132 <p>▶</p>

131 <p>▶</p>

133 <h2>Hiralee Lalitkumar Makwana</h2>

132 <h2>Hiralee Lalitkumar Makwana</h2>

134 <h3>About the Author</h3>

133 <h3>About the Author</h3>

135 <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>

134 <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>

136 <h3>Fun Fact</h3>

135 <h3>Fun Fact</h3>

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

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