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

4 <h2>What are the Factors of 484?</h2>

5 <p>The<a>numbers</a>that divide 484 evenly are known as<a>factors</a><a>of</a>484.</p>

6 <p>A factor of 484 is a number that divides the number without a<a>remainder</a>.</p>

7 <p>The factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, and 484.</p>

8 <p>Negative factors of 484: -1, -2, -4, -11, -22, -44, -121, -242, and -484.</p>

9 <p>Prime factors of 484: 2 and 11.</p>

10 <p>Prime factorization of 484: 22 × 112.</p>

11 <p>The<a>sum</a>of factors of 484: 1 + 2 + 4 + 11 + 22 + 44 + 121 + 242 + 484 = 931</p>

12 <h2>How to Find Factors of 484?</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 484. Identifying the numbers which are multiplied to get the number 484 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply 484 by 1, 484 × 1 = 484.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give 484 after multiplying</p>

21 <p>2 × 242 = 484</p>

22 <p>4 × 121 = 484</p>

23 <p>11 × 44 = 484</p>

24 <p>22 × 22 = 484</p>

25 <p>Therefore, the positive factor pairs of 484 are: (1, 484), (2, 242), (4, 121), (11, 44), and (22, 22).</p>

26 <p>All these factor pairs result in 484.</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<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>

30 <p>Dividing the given numbers with<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>

32 <p><strong>Step 1:</strong>Divide 484 by 1, 484 ÷ 1 = 484.</p>

31 <p><strong>Step 1:</strong>Divide 484 by 1, 484 ÷ 1 = 484.</p>

33 <p><strong>Step 2:</strong>Continue dividing 484 by the numbers until the remainder becomes 0.</p>

32 <p><strong>Step 2:</strong>Continue dividing 484 by the numbers until the remainder becomes 0.</p>

34 <p>484 ÷ 1 = 484</p>

33 <p>484 ÷ 1 = 484</p>

35 <p>484 ÷ 2 = 242</p>

34 <p>484 ÷ 2 = 242</p>

36 <p>484 ÷ 4 = 121</p>

35 <p>484 ÷ 4 = 121</p>

37 <p>484 ÷ 11 = 44</p>

36 <p>484 ÷ 11 = 44</p>

38 <p>484 ÷ 22 = 22</p>

37 <p>484 ÷ 22 = 22</p>

39 <p>Therefore, the factors of 484 are: 1, 2, 4, 11, 22, 44, 121, 242, 484.</p>

38 <p>Therefore, the factors of 484 are: 1, 2, 4, 11, 22, 44, 121, 242, 484.</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 prime factors using the following methods:</p>

40 <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>

42 <p>Using prime factorization</p>

41 <p>Using prime factorization</p>

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

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

44 <p>Using Prime Factorization: In this process, prime factors of 484 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

43 <p>Using Prime Factorization: In this process, prime factors of 484 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

45 <p>484 ÷ 2 = 242</p>

44 <p>484 ÷ 2 = 242</p>

46 <p>242 ÷ 2 = 121</p>

45 <p>242 ÷ 2 = 121</p>

47 <p>121 ÷ 11 = 11</p>

46 <p>121 ÷ 11 = 11</p>

48 <p>11 ÷ 11 = 1</p>

47 <p>11 ÷ 11 = 1</p>

49 <p>The prime factors of 484 are 2 and 11.</p>

48 <p>The prime factors of 484 are 2 and 11.</p>

50 <p>The prime factorization of 484 is: 22 × 112.</p>

49 <p>The prime factorization of 484 is: 22 × 112.</p>

51 <h3>Factor Tree</h3>

50 <h3>Factor Tree</h3>

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, 484 is divided by 2 to get 242.</p>

52 <p><strong>Step 1:</strong>Firstly, 484 is divided by 2 to get 242.</p>

54 <p><strong>Step 2:</strong>Now divide 242 by 2 to get 121.</p>

53 <p><strong>Step 2:</strong>Now divide 242 by 2 to get 121.</p>

55 <p><strong>Step 3:</strong>Then divide 121 by 11 to get 11.</p>

54 <p><strong>Step 3:</strong>Then divide 121 by 11 to get 11.</p>

56 <p>Here, 11 is the smallest prime number, that cannot be divided anymore.</p>

55 <p>Here, 11 is the smallest prime number, that cannot be divided anymore.</p>

57 <p>So, the prime factorization of 484 is: 22 × 112.</p>

56 <p>So, the prime factorization of 484 is: 22 × 112.</p>

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

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

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

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

60 <p>Positive factor pairs of 484: (1, 484), (2, 242), (4, 121), (11, 44), and (22, 22).</p>

59 <p>Positive factor pairs of 484: (1, 484), (2, 242), (4, 121), (11, 44), and (22, 22).</p>

61 <p>Negative factor pairs of 484: (-1, -484), (-2, -242), (-4, -121), (-11, -44), and (-22, -22).</p>

60 <p>Negative factor pairs of 484: (-1, -484), (-2, -242), (-4, -121), (-11, -44), and (-22, -22).</p>

62 <h2>Common Mistakes and How to Avoid Them in Factors of 484</h2>

61 <h2>Common Mistakes and How to Avoid Them in Factors of 484</h2>

63 <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>

62 <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>

63 + <h2>Download Worksheets</h2>

64 <h3>Problem 1</h3>

65 <p>There are 11 teams in a tournament and 484 players. How will they be distributed equally among the teams?</p>

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

67 <p>Each team will have 44 players.</p>

68 <h3>Explanation</h3>

69 <p>To distribute the players equally, we need to divide the total players by the number of teams.</p>

70 <p>484/11 = 44</p>

71 <p>Well explained 👍</p>

72 <h3>Problem 2</h3>

73 <p>A rectangular garden has a length of 22 meters and a total area of 484 square meters. What is the width?</p>

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

75 <p>22 meters.</p>

76 <h3>Explanation</h3>

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

78 <p>Area = length × width</p>

79 <p>484 = 22 × width</p>

80 <p>To find the value of width, divide both sides by 22.</p>

81 <p>484/22 = width</p>

82 <p>Width = 22.</p>

83 <p>Well explained 👍</p>

84 <h3>Problem 3</h3>

85 <p>There are 4 containers and 484 marbles. How many marbles will be in each container?</p>

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

87 <p>Each container will have 121 marbles.</p>

88 <h3>Explanation</h3>

89 <p>To find the marbles in each container, divide the total marbles by the containers.</p>

90 <p>484/4 = 121</p>

91 <p>Well explained 👍</p>

92 <h3>Problem 4</h3>

93 <p>In a school, there are 484 students, and 121 seats in the auditorium. How many students can be seated in each seat?</p>

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

95 <p>Each seat will have 4 students.</p>

96 <h3>Explanation</h3>

97 <p>Dividing the students with the total seats, we will get the number of students per seat.</p>

98 <p>484/121 = 4</p>

99 <p>Well explained 👍</p>

100 <h3>Problem 5</h3>

101 <p>484 books need to be arranged in 2 shelves. How many books will go on each shelf?</p>

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

103 <p>Each shelf will have 242 books.</p>

104 <h3>Explanation</h3>

105 <p>Divide total books by shelves.</p>

106 <p>484/2 = 242</p>

107 <p>Well explained 👍</p>

108 <h2>FAQs on Factors of 484</h2>

109 <h3>1.What are the factors of 484?</h3>

110 <p>1, 2, 4, 11, 22, 44, 121, 242, and 484 are the factors of 484.</p>

111 <h3>2.Mention the prime factors of 484.</h3>

112 <p>The prime factors of 484 are 22 × 112.</p>

113 <h3>3.Is 484 a multiple of 22?</h3>

114 <h3>4.Mention the factor pairs of 484?</h3>

115 <p>(1, 484), (2, 242), (4, 121), (11, 44), and (22, 22) are the factor pairs of 484.</p>

116 <h3>5.What is the square of 484?</h3>

117 <h2>Important Glossaries for Factor of 484</h2>

118 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, and 484.</li>

119 <li><strong>Prime Factors:</strong>The factors which are prime numbers. For example, 2 and 11 are prime factors of 484. c</li>

120 <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 484 are (1, 484), (2, 242), etc.</li>

121 <li><strong>Prime Factorization:</strong>The expression of a number as the product of its prime factors. For example, the prime factorization of 484 is 22 × 112.</li>

122 <li><strong>Multiple:</strong>A number that can be divided by another number without a remainder. For example, 484 is a multiple of 22.</li>

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

124 <p>▶</p>

125 <h2>Hiralee Lalitkumar Makwana</h2>

126 <h3>About the Author</h3>

127 <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>

128 <h3>Fun Fact</h3>

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