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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 the items equally, arranging things, etc. In this topic, we will learn about the factors of 988, how they are used in real life, and the tips to learn them quickly.</p>

4 <h2>What are the Factors of 988?</h2>

5 <p>The<a>numbers</a>that divide 988 evenly are known as<a>factors</a>of 988.</p>

6 <p>A factor of 988 is a number that divides the number without<a>remainder</a>.</p>

7 <p>The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, and 988.</p>

8 <p><strong>Negative factors of 988:</strong>-1, -2, -4, -13, -19, -26, -38, -52, -76, -247, -494, and -988.</p>

9 <p><strong>Prime factors of 988:</strong>2, 13, and 19.</p>

10 <p><strong>Prime factorization of 988:</strong>2² × 13 × 19.</p>

11 <p>The<a>sum</a>of factors of 988: 1 + 2 + 4 + 13 + 19 + 26 + 38 + 52 + 76 + 247 + 494 + 988 = 1960</p>

12 <h2>How to Find Factors of 988?</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 988. Identifying the numbers which are multiplied to get the number 988 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply 988 by 1, 988 × 1 = 988.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give 988 after multiplying</p>

21 <p>2 × 494 = 988</p>

22 <p>4 × 247 = 988</p>

23 <p>13 × 76 = 988</p>

24 <p>19 × 52 = 988</p>

25 <p>Therefore, the positive factor pairs of 988 are: (1, 988), (2, 494), (4, 247), (13, 76), (19, 52).</p>

26 <p>All these factor pairs result in 988.</p>

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

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

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

31 <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>

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>

32 <p><strong>Step 1:</strong>Divide 988 by 1, 988 ÷ 1 = 988.</p>

31 <p><strong>Step 1:</strong>Divide 988 by 1, 988 ÷ 1 = 988.</p>

33 <p><strong>Step 2:</strong>Continue dividing 988 by the numbers until the remainder becomes 0.</p>

32 <p><strong>Step 2:</strong>Continue dividing 988 by the numbers until the remainder becomes 0.</p>

34 <p>988 ÷ 1 = 988</p>

33 <p>988 ÷ 1 = 988</p>

35 <p>988 ÷ 2 = 494</p>

34 <p>988 ÷ 2 = 494</p>

36 <p>988 ÷ 4 = 247</p>

35 <p>988 ÷ 4 = 247</p>

37 <p>988 ÷ 13 = 76</p>

36 <p>988 ÷ 13 = 76</p>

38 <p>988 ÷ 19 = 52</p>

37 <p>988 ÷ 19 = 52</p>

39 <p>Therefore, the factors of 988 are: 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988.</p>

38 <p>Therefore, the factors of 988 are: 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988.</p>

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

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

41 <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>

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>

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

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

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

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

44 </ul><p>Using Prime Factorization: In this process, prime factors of 988 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

43 </ul><p>Using Prime Factorization: In this process, prime factors of 988 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

45 <p>988 ÷ 2 = 494</p>

44 <p>988 ÷ 2 = 494</p>

46 <p>494 ÷ 2 = 247</p>

45 <p>494 ÷ 2 = 247</p>

47 <p>247 ÷ 13 = 19</p>

46 <p>247 ÷ 13 = 19</p>

48 <p>19 ÷ 19 = 1</p>

47 <p>19 ÷ 19 = 1</p>

49 <p>The prime factors of 988 are 2, 13, and 19.</p>

48 <p>The prime factors of 988 are 2, 13, and 19.</p>

50 <p>The prime factorization of 988 is: 2² × 13 × 19.</p>

49 <p>The prime factorization of 988 is: 2² × 13 × 19.</p>

51 <h2>Factor Tree</h2>

50 <h2>Factor Tree</h2>

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

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

53 <p><strong>Step 1:</strong>Firstly, 988 is divided by 2 to get 494.</p>

52 <p><strong>Step 1:</strong>Firstly, 988 is divided by 2 to get 494.</p>

54 <p><strong>Step 2:</strong>Now divide 494 by 2 to get 247.</p>

53 <p><strong>Step 2:</strong>Now divide 494 by 2 to get 247.</p>

55 <p><strong>Step 3:</strong>Then divide 247 by 13 to get 19. Here, 19 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 988 is: 2² × 13 × 19.</p>

54 <p><strong>Step 3:</strong>Then divide 247 by 13 to get 19. Here, 19 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 988 is: 2² × 13 × 19.</p>

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

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

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

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

58 <p>Positive factor pairs of 988: (1, 988), (2, 494), (4, 247), (13, 76), and (19, 52).</p>

57 <p>Positive factor pairs of 988: (1, 988), (2, 494), (4, 247), (13, 76), and (19, 52).</p>

59 <p>Negative factor pairs of 988: (-1, -988), (-2, -494), (-4, -247), (-13, -76), and (-19, -52).</p>

58 <p>Negative factor pairs of 988: (-1, -988), (-2, -494), (-4, -247), (-13, -76), and (-19, -52).</p>

60 <h2>Common Mistakes and How to Avoid Them in Factors of 988</h2>

59 <h2>Common Mistakes and How to Avoid Them in Factors of 988</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>

61 + <h2>Download Worksheets</h2>

62 <h3>Problem 1</h3>

63 <p>There are 19 friends and 988 apples. How will they divide it equally?</p>

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

65 <p>They will get 52 apples each.</p>

66 <h3>Explanation</h3>

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

68 <p>988/19 = 52</p>

69 <p>Well explained 👍</p>

70 <h3>Problem 2</h3>

71 <p>A garden is rectangular, the length of the garden is 13 meters and the total area is 988 square meters. Find the width?</p>

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

73 <p>76 meters.</p>

74 <h3>Explanation</h3>

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

76 <p>Area = length × width</p>

77 <p>988 = 13 × width</p>

78 <p>To find the value of width, we need to shift 13 to the left side.</p>

79 <p>988/13 = width</p>

80 <p>Width = 76.</p>

81 <p>Well explained 👍</p>

82 <h3>Problem 3</h3>

83 <p>There are 4 trucks and 988 boxes. How many boxes will be in each truck?</p>

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

85 <p>Each truck will have 247 boxes.</p>

86 <h3>Explanation</h3>

87 <p>To find the boxes in each truck, divide the total boxes with the trucks.</p>

88 <p>988/4 = 247</p>

89 <p>Well explained 👍</p>

90 <h3>Problem 4</h3>

91 <p>In a company, there are 494 employees, and 2 divisions. How many employees are there in each division?</p>

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

93 <p>There are 247 employees in each division.</p>

94 <h3>Explanation</h3>

95 <p>Dividing the employees with the total divisions, we will get the number of employees in each division.</p>

96 <p>494/2 = 247</p>

97 <p>Well explained 👍</p>

98 <h3>Problem 5</h3>

99 <p>988 books need to be arranged in 13 shelves. How many books will go on each shelf?</p>

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

101 <p>Each of the shelves has 76 books.</p>

102 <h3>Explanation</h3>

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

104 <p>988/13 = 76</p>

105 <p>Well explained 👍</p>

106 <h2>FAQs on Factors of 988</h2>

107 <h3>1.What are the factors of 988?</h3>

108 <p>1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988 are the factors of 988.</p>

109 <h3>2.Mention the prime factors of 988.</h3>

110 <p>The prime factors of 988 are 2² × 13 × 19.</p>

111 <h3>3.Is 988 a multiple of 19?</h3>

112 <h3>4.Mention the factor pairs of 988?</h3>

113 <p>(1, 988), (2, 494), (4, 247), (13, 76), and (19, 52) are the factor pairs of 988.</p>

114 <h3>5.What is the square of 988?</h3>

115 <h2>Important Glossaries for Factor of 988</h2>

116 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, and 988. </li>

117 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 2, 13, and 19 are prime factors of 988. </li>

118 <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 988 are (1, 988), (2, 494), etc. </li>

119 <li><strong>Prime factorization:</strong>The process of expressing a number as the product of its prime factors. For example, 2² × 13 × 19 is the prime factorization of 988. </li>

120 <li><strong>Multiples:</strong>A number that can be divided by another number without leaving a remainder. For example, 988 is a multiple of 2.</li>

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

122 <p>▶</p>

123 <h2>Hiralee Lalitkumar Makwana</h2>

124 <h3>About the Author</h3>

125 <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>

126 <h3>Fun Fact</h3>

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