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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 -18, how they are used in real life, and tips to learn them quickly.</p>

4 <h2>What are the Factors of -18?</h2>

5 <p>The<a>numbers</a>that divide -18 evenly are known as<a>factors</a>of -18.</p>

6 <p>A factor of -18 is a number that divides the number without<a>remainder</a>.</p>

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

8 <p><strong>The negative factors of -18: </strong>-1, -2, -3, -6, -9, and -18.</p>

9 <p><strong>Prime factors of -18:</strong>2 and 3.</p>

10 <p><strong>Prime factorization of -18:</strong>-1 × 2 × 3². </p>

11 <p>The<a>sum</a>of the positive factors of 18: 1 + 2 + 3 + 6 + 9 + 18 = 39</p>

12 <h2>How to Find Factors of -18?</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 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 -18. Identifying the numbers which are multiplied to get the number -18 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply -18 by -1, -18 × -1 = 18.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give 18 after multiplying</p>

21 <p>1 × 18 = 18</p>

22 <p>2 × 9 = 18</p>

23 <p>3 × 6 = 18</p>

24 <p>Therefore, the positive factor pairs of 18 are: (1, 18), (2, 9), (3, 6).</p>

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

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

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

29 <p>Dividing the given number by<a>whole numbers</a>until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method</p>

28 <p>Dividing the given number by<a>whole numbers</a>until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method</p>

30 <p><strong>Step 1:</strong>Divide -18 by -1, -18 ÷ -1 = 18.</p>

29 <p><strong>Step 1:</strong>Divide -18 by -1, -18 ÷ -1 = 18.</p>

31 <p><strong>Step 2:</strong>Continue dividing -18 by the numbers until the remainder becomes 0.</p>

30 <p><strong>Step 2:</strong>Continue dividing -18 by the numbers until the remainder becomes 0.</p>

32 <p>18 ÷ 1 = 18</p>

31 <p>18 ÷ 1 = 18</p>

33 <p>18 ÷ 2 = 9</p>

32 <p>18 ÷ 2 = 9</p>

34 <p>18 ÷ 3 = 6</p>

33 <p>18 ÷ 3 = 6</p>

35 <p>Therefore, the factors of -18 are: 1, 2, 3, 6, 9, 18, -1, -2, -3, -6, -9, -18.</p>

34 <p>Therefore, the factors of -18 are: 1, 2, 3, 6, 9, 18, -1, -2, -3, -6, -9, -18.</p>

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

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

37 <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>

36 <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>

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

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

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

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

40 </ul><p>Using Prime Factorization: In this process, prime factors of -18 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.</p>

39 </ul><p>Using Prime Factorization: In this process, prime factors of -18 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.</p>

41 <p>18 ÷ 2 = 9</p>

40 <p>18 ÷ 2 = 9</p>

42 <p>9 ÷ 3 = 3</p>

41 <p>9 ÷ 3 = 3</p>

43 <p>3 ÷ 3 = 1</p>

42 <p>3 ÷ 3 = 1</p>

44 <p>The prime factors of -18 are 2 and 3.</p>

43 <p>The prime factors of -18 are 2 and 3.</p>

45 <p>The prime factorization of -18 is: -1 × 2 × 3².</p>

44 <p>The prime factorization of -18 is: -1 × 2 × 3².</p>

46 <h2>Factor Tree</h2>

45 <h2>Factor Tree</h2>

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

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

48 <p><strong>Step 1:</strong>Firstly, 18 is divided by 2 to get 9.</p>

47 <p><strong>Step 1:</strong>Firstly, 18 is divided by 2 to get 9.</p>

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

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

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

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

51 <p>So, the prime factorization of -18 is: -1 × 2 × 3².</p>

50 <p>So, the prime factorization of -18 is: -1 × 2 × 3².</p>

52 <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>

51 <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>

53 <p><strong>Positive factor pairs of 18:</strong>(1, 18), (2, 9), (3, 6).</p>

52 <p><strong>Positive factor pairs of 18:</strong>(1, 18), (2, 9), (3, 6).</p>

54 <p><strong>Negative factor pairs of -18:</strong>(-1, -18), (-2, -9), (-3, -6).</p>

53 <p><strong>Negative factor pairs of -18:</strong>(-1, -18), (-2, -9), (-3, -6).</p>

55 <h2>Common Mistakes and How to Avoid Them in Factors of -18</h2>

54 <h2>Common Mistakes and How to Avoid Them in Factors of -18</h2>

56 <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 <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>

57 <h3>Problem 1</h3>

56 <h3>Problem 1</h3>

58 <p>There are 18 apples and 9 baskets. How will they divide them equally?</p>

57 <p>There are 18 apples and 9 baskets. How will they divide them equally?</p>

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

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

60 <p>They will get 2 apples in each basket.</p>

59 <p>They will get 2 apples in each basket.</p>

61 <h3>Explanation</h3>

60 <h3>Explanation</h3>

62 <p>To divide the apples equally, we need to divide the total apples by the number of baskets. 18/9 = 2</p>

61 <p>To divide the apples equally, we need to divide the total apples by the number of baskets. 18/9 = 2</p>

63 <p>Well explained 👍</p>

62 <p>Well explained 👍</p>

64 <h3>Problem 2</h3>

63 <h3>Problem 2</h3>

65 <p>A garden is rectangular, the length of the garden is 3 meters and the total area is 18 square meters. Find the width?</p>

64 <p>A garden is rectangular, the length of the garden is 3 meters and the total area is 18 square meters. Find the width?</p>

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

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

67 <p>6 meters.</p>

66 <p>6 meters.</p>

68 <h3>Explanation</h3>

67 <h3>Explanation</h3>

69 <p>To find the width of the garden, we use the formula, Area = length × width 18 = 3 × width To find the value of the width, we need to shift 3 to the left side. 18/3 = width </p>

68 <p>To find the width of the garden, we use the formula, Area = length × width 18 = 3 × width To find the value of the width, we need to shift 3 to the left side. 18/3 = width </p>

70 <p>Width = 6.</p>

69 <p>Width = 6.</p>

71 <p>Well explained 👍</p>

70 <p>Well explained 👍</p>

72 <h3>Problem 3</h3>

71 <h3>Problem 3</h3>

73 <p>There are 6 boxes and 18 chocolates. How many chocolates will be in each box?</p>

72 <p>There are 6 boxes and 18 chocolates. How many chocolates will be in each box?</p>

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

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

75 <p>Each box will have 3 chocolates.</p>

74 <p>Each box will have 3 chocolates.</p>

76 <h3>Explanation</h3>

75 <h3>Explanation</h3>

77 <p>To find the chocolates in each box, divide the total chocolates by the boxes. 18/6 = 3</p>

76 <p>To find the chocolates in each box, divide the total chocolates by the boxes. 18/6 = 3</p>

78 <p>Well explained 👍</p>

77 <p>Well explained 👍</p>

79 <h3>Problem 4</h3>

78 <h3>Problem 4</h3>

80 <p>In a class, there are 18 students, and 2 groups. How many students are there in each group?</p>

79 <p>In a class, there are 18 students, and 2 groups. How many students are there in each group?</p>

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

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

82 <p>There are 9 students in each group.</p>

81 <p>There are 9 students in each group.</p>

83 <h3>Explanation</h3>

82 <h3>Explanation</h3>

84 <p>Dividing the students by the total groups, we will get the number of students in each group. 18/2 = 9</p>

83 <p>Dividing the students by the total groups, we will get the number of students in each group. 18/2 = 9</p>

85 <p>Well explained 👍</p>

84 <p>Well explained 👍</p>

86 <h3>Problem 5</h3>

85 <h3>Problem 5</h3>

87 <p>18 books need to be arranged in 3 shelves. How many books will go on each shelf?</p>

86 <p>18 books need to be arranged in 3 shelves. How many books will go on each shelf?</p>

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

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

89 <p>Each of the shelves has 6 books.</p>

88 <p>Each of the shelves has 6 books.</p>

90 <h3>Explanation</h3>

89 <h3>Explanation</h3>

91 <p>Divide total books by shelves. 18/3 = 6</p>

90 <p>Divide total books by shelves. 18/3 = 6</p>

92 <p>Well explained 👍</p>

91 <p>Well explained 👍</p>

93 <h2>FAQs on Factors of -18</h2>

92 <h2>FAQs on Factors of -18</h2>

94 <h3>1.What are the factors of -18?</h3>

93 <h3>1.What are the factors of -18?</h3>

95 <p>1, 2, 3, 6, 9, 18, -1, -2, -3, -6, -9, -18 are the factors of -18.</p>

94 <p>1, 2, 3, 6, 9, 18, -1, -2, -3, -6, -9, -18 are the factors of -18.</p>

96 <h3>2.Mention the prime factors of -18.</h3>

95 <h3>2.Mention the prime factors of -18.</h3>

97 <p>The prime factors of -18 are 2 and 3.</p>

96 <p>The prime factors of -18 are 2 and 3.</p>

98 <h3>3.Is -18 a multiple of 3?</h3>

97 <h3>3.Is -18 a multiple of 3?</h3>

99 <h3>4.Mention the factor pairs of -18?</h3>

98 <h3>4.Mention the factor pairs of -18?</h3>

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

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

101 <h3>5.What is the square of -18?</h3>

100 <h3>5.What is the square of -18?</h3>

102 <h2>Important Glossaries for Factors of -18</h2>

101 <h2>Important Glossaries for Factors of -18</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 -18 are 1, 2, 3, 6, 9, 18, -1, -2, -3, -6, -9, and -18. </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 -18 are 1, 2, 3, 6, 9, 18, -1, -2, -3, -6, -9, and -18. </li>

104 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 2 and 3 are prime factors of -18. </li>

103 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 2 and 3 are prime factors of -18. </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 18 are (1, 18), (2, 9), etc. </li>

104 <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 18 are (1, 18), (2, 9), etc. </li>

106 <li><strong>Multiplication method:</strong>A technique to find factors by identifying pairs of numbers that multiply to give the target number. </li>

105 <li><strong>Multiplication method:</strong>A technique to find factors by identifying pairs of numbers that multiply to give the target number. </li>

107 <li><strong>Division method:</strong>A technique to find factors by dividing the target number by whole numbers to see which result in a whole number quotient.</li>

106 <li><strong>Division method:</strong>A technique to find factors by dividing the target number by whole numbers to see which result in a whole number quotient.</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>