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1 - <p>232 Learners</p>

1 + <p>272 Learners</p>

2 <p>Last updated on<strong>December 12, 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 items equally, arranging things, etc. In this topic, we will learn about the factors of -98, how they are used in real life, and tips to learn them quickly.</p>

4 <h2>What are the Factors of -98?</h2>

5 <p>The<a>numbers</a>that divide -98 evenly are known as<a>factors</a>of -98.</p>

6 <p>A factor of -98 is a number that divides the number without<a>remainder</a>.</p>

7 <p>The positive factors of 98 are 1, 2, 7, 14, 49, and 98.</p>

8 <p>Therefore, the negative factors of -98 are -1, -2, -7, -14, -49, and -98.</p>

9 <p><strong>Prime factors of 98:</strong>2 and 7.</p>

10 <p><strong>Prime factorization of 98:</strong>2 × 7².</p>

11 <p>The<a>sum</a>of positive factors of 98: 1 + 2 + 7 + 14 + 49 + 98 = 171.</p>

12 <h2>How to Find Factors of -98?</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 -98. Identifying the numbers which are multiplied to get the number -98 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply -98 by -1, -98 × -1 = 98.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give -98 after multiplying:</p>

21 <p>-2 × 49 = -98</p>

22 <p>-7 × 14 = -98</p>

23 <p>Therefore, the factor pairs of -98 are: (-1, 98), (-2, 49), (-7, 14).</p>

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

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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 a 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 a simple division method:</p>

29 <p><strong>Step 1:</strong>Divide -98 by -1, -98 ÷ -1 = 98.</p>

28 <p><strong>Step 1:</strong>Divide -98 by -1, -98 ÷ -1 = 98.</p>

30 <p><strong>Step 2:</strong>Continue dividing -98 by the numbers until the remainder becomes 0.</p>

29 <p><strong>Step 2:</strong>Continue dividing -98 by the numbers until the remainder becomes 0.</p>

31 <p>-98 ÷ -1 = 98</p>

30 <p>-98 ÷ -1 = 98</p>

32 <p>-98 ÷ -2 = 49</p>

31 <p>-98 ÷ -2 = 49</p>

33 <p>-98 ÷ -7 = 14</p>

32 <p>-98 ÷ -7 = 14</p>

34 <p>Therefore, the factors of -98 are: -1, -2, -7, -14, -49, and -98.</p>

33 <p>Therefore, the factors of -98 are: -1, -2, -7, -14, -49, and -98.</p>

35 <h2>Prime Factors and Prime Factorization</h2>

34 <h2>Prime Factors and Prime Factorization</h2>

36 <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>

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>

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

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

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

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

39 </ul><p>Using Prime Factorization: In this process, prime factors of -98 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.</p>

38 </ul><p>Using Prime Factorization: In this process, prime factors of -98 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.</p>

40 <p>98 ÷ 2 = 49</p>

39 <p>98 ÷ 2 = 49</p>

41 <p>49 ÷ 7 = 7</p>

40 <p>49 ÷ 7 = 7</p>

42 <p>7 ÷ 7 = 1</p>

41 <p>7 ÷ 7 = 1</p>

43 <p>The prime factors of 98 are 2 and 7.</p>

42 <p>The prime factors of 98 are 2 and 7.</p>

44 <p>The prime factorization of 98 is: 2 × 7².</p>

43 <p>The prime factorization of 98 is: 2 × 7².</p>

45 <h2>Factor Tree</h2>

44 <h2>Factor Tree</h2>

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

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

47 <p><strong>Step 1:</strong>Firstly, 98 is divided by 2 to get 49.</p>

46 <p><strong>Step 1:</strong>Firstly, 98 is divided by 2 to get 49.</p>

48 <p><strong>Step 2:</strong>Now divide 49 by 7 to get 7.</p>

47 <p><strong>Step 2:</strong>Now divide 49 by 7 to get 7.</p>

49 <p><strong>Step 3:</strong>Divide 7 by 7 to get 1. Here, 7 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 98 is: 2 × 7².</p>

48 <p><strong>Step 3:</strong>Divide 7 by 7 to get 1. Here, 7 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 98 is: 2 × 7².</p>

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

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

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

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

52 <p>Positive factor pairs of 98: (1, 98), (2, 49), (7, 14).</p>

51 <p>Positive factor pairs of 98: (1, 98), (2, 49), (7, 14).</p>

53 <p>Negative factor pairs of -98: (-1, 98), (-2, 49), (-7, 14).</p>

52 <p>Negative factor pairs of -98: (-1, 98), (-2, 49), (-7, 14).</p>

54 <h2>Common Mistakes and How to Avoid Them in Factors of -98</h2>

53 <h2>Common Mistakes and How to Avoid Them in Factors of -98</h2>

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>

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>

56 <h3>Problem 1</h3>

55 <h3>Problem 1</h3>

57 <p>There are 14 bags and -98 candies. How will they be divided equally among the bags?</p>

56 <p>There are 14 bags and -98 candies. How will they be divided equally among the bags?</p>

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

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

59 <p>Each bag will get -7 candies.</p>

58 <p>Each bag will get -7 candies.</p>

60 <h3>Explanation</h3>

59 <h3>Explanation</h3>

61 <p>To divide the candies equally, we need to divide the total candies by the number of bags.</p>

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

62 <p>-98/14 = -7</p>

61 <p>-98/14 = -7</p>

63 <p>Well explained 👍</p>

62 <p>Well explained 👍</p>

64 <h3>Problem 2</h3>

63 <h3>Problem 2</h3>

65 <p>A field is rectangular, the width of the field is -7 meters, and the total area is -98 square meters. Find the length.</p>

64 <p>A field is rectangular, the width of the field is -7 meters, and the total area is -98 square meters. Find the length.</p>

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

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

67 <p>14 meters.</p>

66 <p>14 meters.</p>

68 <h3>Explanation</h3>

67 <h3>Explanation</h3>

69 <p>To find the length of the field, we use the formula,</p>

68 <p>To find the length of the field, we use the formula,</p>

70 <p>Area = length × width</p>

69 <p>Area = length × width</p>

71 <p>-98 = length × -7</p>

70 <p>-98 = length × -7</p>

72 <p>To find the value of length, we need to shift -7 to the left side.</p>

71 <p>To find the value of length, we need to shift -7 to the left side.</p>

73 <p>-98/-7 = length</p>

72 <p>-98/-7 = length</p>

74 <p>Length = 14.</p>

73 <p>Length = 14.</p>

75 <p>Well explained 👍</p>

74 <p>Well explained 👍</p>

76 <h3>Problem 3</h3>

75 <h3>Problem 3</h3>

77 <p>There are 49 books and -98 boxes. How many books will be in each box?</p>

76 <p>There are 49 books and -98 boxes. How many books will be in each box?</p>

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

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

79 <p>Each box will have -2 books.</p>

78 <p>Each box will have -2 books.</p>

80 <h3>Explanation</h3>

79 <h3>Explanation</h3>

81 <p>To find the books in each box, divide the total books by the boxes.</p>

80 <p>To find the books in each box, divide the total books by the boxes.</p>

82 <p>-98/49 = -2</p>

81 <p>-98/49 = -2</p>

83 <p>Well explained 👍</p>

82 <p>Well explained 👍</p>

84 <h3>Problem 4</h3>

83 <h3>Problem 4</h3>

85 <p>In a theater, there are -98 seats and 2 sections. How many seats are there in each section?</p>

84 <p>In a theater, there are -98 seats and 2 sections. How many seats are there in each section?</p>

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

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

87 <p>There are -49 seats in each section.</p>

86 <p>There are -49 seats in each section.</p>

88 <h3>Explanation</h3>

87 <h3>Explanation</h3>

89 <p>Dividing the seats with the total sections, we will get the number of seats in each section.</p>

88 <p>Dividing the seats with the total sections, we will get the number of seats in each section.</p>

90 <p>-98/2 = -49</p>

89 <p>-98/2 = -49</p>

91 <p>Well explained 👍</p>

90 <p>Well explained 👍</p>

92 <h3>Problem 5</h3>

91 <h3>Problem 5</h3>

93 <p>-98 chairs need to be arranged in 7 rows. How many chairs will go in each row?</p>

92 <p>-98 chairs need to be arranged in 7 rows. How many chairs will go in each row?</p>

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

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

95 <p>Each row has -14 chairs.</p>

94 <p>Each row has -14 chairs.</p>

96 <h3>Explanation</h3>

95 <h3>Explanation</h3>

97 <p>Divide total chairs by rows.</p>

96 <p>Divide total chairs by rows.</p>

98 <p>-98/7 = -14</p>

97 <p>-98/7 = -14</p>

99 <p>Well explained 👍</p>

98 <p>Well explained 👍</p>

100 <h2>FAQs on Factors of -98</h2>

99 <h2>FAQs on Factors of -98</h2>

101 <h3>1.What are the factors of -98?</h3>

100 <h3>1.What are the factors of -98?</h3>

102 <p>-1, -2, -7, -14, -49, -98 are the factors of -98.</p>

101 <p>-1, -2, -7, -14, -49, -98 are the factors of -98.</p>

103 <h3>2.Mention the prime factors of 98.</h3>

102 <h3>2.Mention the prime factors of 98.</h3>

104 <p>The prime factors of 98 are 2 × 7².</p>

103 <p>The prime factors of 98 are 2 × 7².</p>

105 <h3>3.Is -98 a multiple of 14?</h3>

104 <h3>3.Is -98 a multiple of 14?</h3>

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

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

107 <p>(-1, 98), (-2, 49), (-7, 14) are the factor pairs of -98.</p>

106 <p>(-1, 98), (-2, 49), (-7, 14) are the factor pairs of -98.</p>

108 <h3>5.What is the square of 98?</h3>

107 <h3>5.What is the square of 98?</h3>

109 <h2>Important Glossaries for Factor of -98</h2>

108 <h2>Important Glossaries for Factor of -98</h2>

110 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -98 are -1, -2, -7, -14, -49, and -98. </li>

109 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -98 are -1, -2, -7, -14, -49, and -98. </li>

111 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 2 and 7 are prime factors of 98. </li>

110 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 2 and 7 are prime factors of 98. </li>

112 <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 -98 are (-1, 98), (-2, 49), etc. </li>

111 <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 -98 are (-1, 98), (-2, 49), etc. </li>

113 <li><strong>Prime factorization:</strong>Breaking down a number into its prime factors. For example, the prime factorization of 98 is 2 × 7². </li>

112 <li><strong>Prime factorization:</strong>Breaking down a number into its prime factors. For example, the prime factorization of 98 is 2 × 7². </li>

114 <li><strong>Multiplication method:</strong>Finding factors by identifying pairs of numbers that multiply to give the original number.</li>

113 <li><strong>Multiplication method:</strong>Finding factors by identifying pairs of numbers that multiply to give the original number.</li>

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

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

116 <p>▶</p>

115 <p>▶</p>

117 <h2>Hiralee Lalitkumar Makwana</h2>

116 <h2>Hiralee Lalitkumar Makwana</h2>

118 <h3>About the Author</h3>

117 <h3>About the Author</h3>

119 <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>

118 <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>

120 <h3>Fun Fact</h3>

119 <h3>Fun Fact</h3>

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

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