Rivalry2

HTML Diff

2 added 2 removed

Original 2026-01-01

Modified 2026-02-21

1 - <p>314 Learners</p>

1 + <p>359 Learners</p>

2 <p>Last updated on<strong>December 11, 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 104, how they are used in real life, and tips to learn them quickly.</p>

4 <h2>What are the Factors of 104?</h2>

5 <p>The<a>numbers</a>that divide 104 evenly are known as<a>factors</a>of 104. A factor of 104 is a number that divides the number without<a>remainder</a>. The factors of 104 are 1, 2, 4, 8, 13, 26, 52, and 104.</p>

6 <p><strong>Negative factors of 104:</strong>-1, -2, -4, -8, -13, -26, -52, and -104.</p>

7 <p><strong>Prime factors of 104:</strong>2 and 13.</p>

8 <p><strong>Prime factorization of 104:</strong>2³ × 13.</p>

9 <p><strong>The<a>sum</a>of factors of 104:</strong>1 + 2 + 4 + 8 + 13 + 26 + 52 + 104 = 210</p>

10 <h2>How to Find Factors of 104?</h2>

11 <p>Factors can be found using different methods. Mentioned below are some commonly used methods:</p>

12 <ol><li>Finding factors using<a>multiplication</a></li>

13 <li>Finding factors using<a>division</a>method</li>

14 <li>Prime factors and Prime factorization</li>

15 </ol><h2>Finding Factors Using Multiplication</h2>

16 <p>To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 104. Identifying the numbers which are multiplied to get the number 104 is the multiplication method.</p>

17 <p><strong>Step 1:</strong>Multiply 104 by 1, 104 × 1 = 104.</p>

18 <p><strong>Step 2:</strong>Check for other numbers that give 104 after multiplying 2 × 52 = 104</p>

19 <p>4 × 26 = 104</p>

20 <p>8 × 13 = 104</p>

21 <p>Therefore, the positive factor pairs of 104 are: (1, 104), (2, 52), (4, 26), (8, 13). All these factor pairs result in 104. For every positive factor, there is a negative factor.</p>

22 <h3>Explore Our Programs</h3>

23 - <p>No Courses Available</p>

24 <h2>Finding Factors Using Division Method</h2>

23 <h2>Finding Factors Using Division Method</h2>

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>

24 <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>

26 <p><strong>Step 1:</strong>Divide 104 by 1, 104 ÷ 1 = 104.</p>

25 <p><strong>Step 1:</strong>Divide 104 by 1, 104 ÷ 1 = 104.</p>

27 <p><strong>Step 2:</strong>Continue dividing 104 by the numbers until the remainder becomes 0.</p>

26 <p><strong>Step 2:</strong>Continue dividing 104 by the numbers until the remainder becomes 0.</p>

28 <p>104 ÷ 1 = 104</p>

27 <p>104 ÷ 1 = 104</p>

29 <p>104 ÷ 2 = 52</p>

28 <p>104 ÷ 2 = 52</p>

30 <p>104 ÷ 4 = 26</p>

29 <p>104 ÷ 4 = 26</p>

31 <p>104 ÷ 8 = 13</p>

30 <p>104 ÷ 8 = 13</p>

32 <p>Therefore, the factors of 104 are: 1, 2, 4, 8, 13, 26, 52, 104.</p>

31 <p>Therefore, the factors of 104 are: 1, 2, 4, 8, 13, 26, 52, 104.</p>

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

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

34 <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>

33 <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>

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

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

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

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

37 </ul><p><strong>Using Prime Factorization:</strong>In this process, prime factors of 104 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

36 </ul><p><strong>Using Prime Factorization:</strong>In this process, prime factors of 104 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

38 <p>104 ÷ 2 = 52</p>

37 <p>104 ÷ 2 = 52</p>

39 <p>52 ÷ 2 = 26</p>

38 <p>52 ÷ 2 = 26</p>

40 <p>26 ÷ 2 = 13</p>

39 <p>26 ÷ 2 = 13</p>

41 <p>13 ÷ 13 = 1</p>

40 <p>13 ÷ 13 = 1</p>

42 <p>The prime factors of 104 are 2 and 13. The prime factorization of 104 is: 2³ × 13.</p>

41 <p>The prime factors of 104 are 2 and 13. The prime factorization of 104 is: 2³ × 13.</p>

43 <h2>Factor Tree</h2>

42 <h2>Factor Tree</h2>

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

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

45 <p><strong>Step 1:</strong>Firstly, 104 is divided by 2 to get 52. Step 2: Now divide 52 by 2 to get 26.</p>

44 <p><strong>Step 1:</strong>Firstly, 104 is divided by 2 to get 52. Step 2: Now divide 52 by 2 to get 26.</p>

46 <p><strong>Step 3:</strong>Then divide 26 by 2 to get 13. Here, 13 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 104 is: 2³ × 13.</p>

45 <p><strong>Step 3:</strong>Then divide 26 by 2 to get 13. Here, 13 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 104 is: 2³ × 13.</p>

47 <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>

46 <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>

48 <ul><li>Positive factor pairs of 104: (1, 104), (2, 52), (4, 26), and (8, 13).</li>

47 <ul><li>Positive factor pairs of 104: (1, 104), (2, 52), (4, 26), and (8, 13).</li>

49 <li>Negative factor pairs of 104: (-1, -104), (-2, -52), (-4, -26), and (-8, -13).</li>

48 <li>Negative factor pairs of 104: (-1, -104), (-2, -52), (-4, -26), and (-8, -13).</li>

50 </ul><h2>Common Mistakes and How to Avoid Them in Factors of 104</h2>

49 </ul><h2>Common Mistakes and How to Avoid Them in Factors of 104</h2>

51 <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>

50 <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>

51 + <h2>Download Worksheets</h2>

52 <h3>Problem 1</h3>

53 <p>There are 8 friends and 104 pieces of fruit. How will they divide it equally?</p>

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

55 <p>They will get 13 pieces of fruit each.</p>

56 <h3>Explanation</h3>

57 <p>To divide the pieces of fruit equally, we need to divide the total pieces with the number of friends.</p>

58 <p>104/8 = 13</p>

59 <p>Well explained 👍</p>

60 <h3>Problem 2</h3>

61 <p>A garden is rectangular, the length of the garden is 13 meters and the total area is 104 square meters. Find the width.</p>

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

63 <p>8 meters.</p>

64 <h3>Explanation</h3>

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

66 <p>, Area = length × width</p>

67 <p>104 = 13 × width</p>

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

69 <p>104/13 = width</p>

70 <p>Width = 8.</p>

71 <p>Well explained 👍</p>

72 <h3>Problem 3</h3>

73 <p>There are 26 boxes and 104 toys. How many toys will be in each box?</p>

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

75 <p>Each box will have 4 toys.</p>

76 <h3>Explanation</h3>

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

78 <p>104/26 = 4</p>

79 <p>Well explained 👍</p>

80 <h3>Problem 4</h3>

81 <p>In a class, there are 104 students, and 13 groups. How many students are there in each group?</p>

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

83 <p>There are 8 students in each group.</p>

84 <h3>Explanation</h3>

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

86 <p>104/13 = 8</p>

87 <p>Well explained 👍</p>

88 <h3>Problem 5</h3>

89 <p>104 books need to be arranged in 4 shelves. How many books will go on each shelf?</p>

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

91 <p>Each of the shelves has 26 books.</p>

92 <h3>Explanation</h3>

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

94 <p>104/4 = 26</p>

95 <p>Well explained 👍</p>

96 <h2>FAQs on Factors of 104</h2>

97 <h3>1.What are the factors of 104?</h3>

98 <p>1, 2, 4, 8, 13, 26, 52, 104 are the factors of 104.</p>

99 <h3>2.Mention the prime factors of 104.</h3>

100 <p>The prime factors of 104 are 2³ × 13.</p>

101 <h3>3.Is 104 a multiple of 4?</h3>

102 <h3>4.Mention the factor pairs of 104?</h3>

103 <p>(1, 104), (2, 52), (4, 26), and (8, 13) are the factor pairs of 104.</p>

104 <h3>5.What is the square of 104?</h3>

105 <h2>Important Glossaries for Factors of 104</h2>

106 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 104 are 1, 2, 4, 8, 13, 26, 52, and 104.</li>

107 </ul><ul><li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 2 and 13 are prime factors of 104.</li>

108 </ul><ul><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 104 are (1, 104), (2, 52), etc.</li>

109 </ul><ul><li><strong>Prime factorization:</strong>The expression of a number as the product of its prime factors. For 104, it is 2³ × 13.</li>

110 </ul><ul><li><strong>Multiple:</strong>A number that can be divided by another number without a remainder. For example, 104 is a multiple of 4.</li>

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

112 <p>▶</p>

113 <h2>Hiralee Lalitkumar Makwana</h2>

114 <h3>About the Author</h3>

115 <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>

116 <h3>Fun Fact</h3>

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