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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 -9, how they are used in real life, and tips to learn them quickly.</p>

4 <h2>What are the Factors of -9?</h2>

5 <p>The<a>numbers</a>that divide -9 evenly are known as<a>factors</a>of -9.</p>

6 <p>A factor of -9 is a number that divides the number without a<a>remainder</a>.</p>

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

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

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

10 <p><strong>Prime factorization of -9:</strong>-3².</p>

11 <p>The<a>sum</a>of factors of 9: 1 + 3 + 9 = 13</p>

12 <h2>How to Find Factors of -9?</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 -9. Identifying the numbers which are multiplied to get the number -9 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply -9 by -1, -9 × -1 = 9.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give -9 after multiplying -3 × 3 = -9</p>

21 <p>Therefore, the positive factor pairs of -9 are: (1, 9), (3, 3).</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 -9 by -1, -9 ÷ -1 = 9.</p>

26 <p><strong>Step 1:</strong>Divide -9 by -1, -9 ÷ -1 = 9.</p>

28 <p><strong>Step 2:</strong>Continue dividing -9 by the numbers until the remainder becomes 0.</p>

27 <p><strong>Step 2:</strong>Continue dividing -9 by the numbers until the remainder becomes 0.</p>

29 <p>-9 ÷ -1 = 9 -9 ÷ -3 = 3</p>

28 <p>-9 ÷ -1 = 9 -9 ÷ -3 = 3</p>

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

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

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

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

32 <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>

31 <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>

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

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

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

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

35 </ul><p>Using Prime Factorization: In this process, prime factors of -9 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

34 </ul><p>Using Prime Factorization: In this process, prime factors of -9 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

36 <p>-9 ÷ -3 = 3 3 ÷ 3 = 1</p>

35 <p>-9 ÷ -3 = 3 3 ÷ 3 = 1</p>

37 <p>The prime factor of -9 is 3.</p>

36 <p>The prime factor of -9 is 3.</p>

38 <p>The prime factorization of -9 is: -3².</p>

37 <p>The prime factorization of -9 is: -3².</p>

39 <h3>Factor Tree</h3>

38 <h3>Factor Tree</h3>

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

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

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

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

42 <p><strong>Step 2:</strong>Now divide 3 by 3 to get 1. Here, 3 is the smallest prime number that cannot be divided anymore.</p>

41 <p><strong>Step 2:</strong>Now divide 3 by 3 to get 1. Here, 3 is the smallest prime number that cannot be divided anymore.</p>

43 <p>So, the prime factorization of -9 is: -3².</p>

42 <p>So, the prime factorization of -9 is: -3².</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>

43 <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>

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

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

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

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

47 <h2>Common Mistakes and How to Avoid Them in Factors of -9</h2>

46 <h2>Common Mistakes and How to Avoid Them in Factors of -9</h2>

48 <p>Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and ways to avoid them.</p>

47 <p>Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and ways to avoid them.</p>

49 <h3>Problem 1</h3>

48 <h3>Problem 1</h3>

50 <p>There are 9 apples and 3 baskets. How will they divide them equally?</p>

49 <p>There are 9 apples and 3 baskets. How will they divide them equally?</p>

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

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

52 <p>They will get 3 apples in each basket.</p>

51 <p>They will get 3 apples in each basket.</p>

53 <h3>Explanation</h3>

52 <h3>Explanation</h3>

54 <p>To divide the apples equally, we need to divide the total apples by the number of baskets. 9/3 = 3</p>

53 <p>To divide the apples equally, we need to divide the total apples by the number of baskets. 9/3 = 3</p>

55 <p>Well explained 👍</p>

54 <p>Well explained 👍</p>

56 <h3>Problem 2</h3>

55 <h3>Problem 2</h3>

57 <p>A small garden has an area of -9 square meters, and one side is -3 meters long. Find the other side.</p>

56 <p>A small garden has an area of -9 square meters, and one side is -3 meters long. Find the other side.</p>

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

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

59 <p>3 meters.</p>

58 <p>3 meters.</p>

60 <h3>Explanation</h3>

59 <h3>Explanation</h3>

61 <p>To find the other side of the garden, we use the formula, Area = length × width -9 = -3 × width To find the value of width, divide -9 by -3. -9/-3 = width</p>

60 <p>To find the other side of the garden, we use the formula, Area = length × width -9 = -3 × width To find the value of width, divide -9 by -3. -9/-3 = width</p>

62 <p>Width = 3.</p>

61 <p>Width = 3.</p>

63 <p>Well explained 👍</p>

62 <p>Well explained 👍</p>

64 <h3>Problem 3</h3>

63 <h3>Problem 3</h3>

65 <p>There are 18 marbles and 6 boxes. How many marbles will go into each box?</p>

64 <p>There are 18 marbles and 6 boxes. How many marbles will go into each box?</p>

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

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

67 <p>Each box will have 3 marbles.</p>

66 <p>Each box will have 3 marbles.</p>

68 <h3>Explanation</h3>

67 <h3>Explanation</h3>

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

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

70 <p>Well explained 👍</p>

69 <p>Well explained 👍</p>

71 <h3>Problem 4</h3>

70 <h3>Problem 4</h3>

72 <p>In a class, there are 9 students, and 3 groups. How many students are there in each group?</p>

71 <p>In a class, there are 9 students, and 3 groups. How many students are there in each group?</p>

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

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

74 <p>There are 3 students in each group.</p>

73 <p>There are 3 students in each group.</p>

75 <h3>Explanation</h3>

74 <h3>Explanation</h3>

76 <p>Dividing the students by the total groups, we will get the number of students in each group. 9/3 = 3</p>

75 <p>Dividing the students by the total groups, we will get the number of students in each group. 9/3 = 3</p>

77 <p>Well explained 👍</p>

76 <p>Well explained 👍</p>

78 <h3>Problem 5</h3>

77 <h3>Problem 5</h3>

79 <p>9 books need to be arranged in 3 shelves. How many books will go on each shelf?</p>

78 <p>9 books need to be arranged in 3 shelves. How many books will go on each shelf?</p>

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

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

81 <p>Each of the shelves has 3 books.</p>

80 <p>Each of the shelves has 3 books.</p>

82 <h3>Explanation</h3>

81 <h3>Explanation</h3>

83 <p>Divide the total books by the shelves. 9/3 = 3</p>

82 <p>Divide the total books by the shelves. 9/3 = 3</p>

84 <p>Well explained 👍</p>

83 <p>Well explained 👍</p>

85 <h2>FAQs on Factors of -9</h2>

84 <h2>FAQs on Factors of -9</h2>

86 <h3>1.What are the factors of -9?</h3>

85 <h3>1.What are the factors of -9?</h3>

87 <p>1, 3, 9 are the positive factors of -9, and -1, -3, -9 are the negative factors of -9.</p>

86 <p>1, 3, 9 are the positive factors of -9, and -1, -3, -9 are the negative factors of -9.</p>

88 <h3>2.Mention the prime factors of -9.</h3>

87 <h3>2.Mention the prime factors of -9.</h3>

89 <p>The prime factor of -9 is 3.</p>

88 <p>The prime factor of -9 is 3.</p>

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

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

91 <h3>4.Mention the factor pairs of -9?</h3>

90 <h3>4.Mention the factor pairs of -9?</h3>

92 <p>(1, 9), (3, 3) are the positive factor pairs of -9. (-1, -9), (-3, -3) are the negative factor pairs of -9.</p>

91 <p>(1, 9), (3, 3) are the positive factor pairs of -9. (-1, -9), (-3, -3) are the negative factor pairs of -9.</p>

93 <h3>5.What is the square of -9?</h3>

92 <h3>5.What is the square of -9?</h3>

94 <h2>Important Glossaries for Factors of -9</h2>

93 <h2>Important Glossaries for Factors of -9</h2>

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

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

96 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 3 is a prime factor of -9. </li>

95 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 3 is a prime factor of -9. </li>

97 <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 -9 are (1, 9), (3, 3), etc. </li>

96 <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 -9 are (1, 9), (3, 3), etc. </li>

98 <li><strong>Negative factors:</strong>The factors that are negative equivalents of the positive factors. For example, -1, -3, -9 are negative factors of -9. </li>

97 <li><strong>Negative factors:</strong>The factors that are negative equivalents of the positive factors. For example, -1, -3, -9 are negative factors of -9. </li>

99 <li><strong>Prime factorization:</strong>The process of expressing a number as a product of its prime factors. For example, the prime factorization of -9 is -3².</li>

98 <li><strong>Prime factorization:</strong>The process of expressing a number as a product of its prime factors. For example, the prime factorization of -9 is -3².</li>

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

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

101 <p>▶</p>

100 <p>▶</p>

102 <h2>Hiralee Lalitkumar Makwana</h2>

101 <h2>Hiralee Lalitkumar Makwana</h2>

103 <h3>About the Author</h3>

102 <h3>About the Author</h3>

104 <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>

103 <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>

105 <h3>Fun Fact</h3>

104 <h3>Fun Fact</h3>

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

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