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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 items equally, arranging things, etc. In this topic, we will learn about the factors of 424, how they are used in real life, and tips to learn them quickly.</p>

4 <h2>What are the Factors of 424?</h2>

5 <p>The<a>numbers</a>that divide 424 evenly are known as<a>factors</a><a>of</a>424.</p>

6 <p>A factor of 424 is a number that divides the number without a<a>remainder</a>.</p>

7 <p>The factors of 424 are 1, 2, 4, 8, 53, 106, 212, and 424.</p>

8 <p><strong>Negative factors of 424:</strong>-1, -2, -4, -8, -53, -106, -212, and -424.</p>

9 <p><strong>Prime factors of 424:</strong>2 and 53.</p>

10 <p><strong>Prime factorization of 424:</strong>2³ × 53.</p>

11 <p>The<a>sum</a>of factors of 424: 1 + 2 + 4 + 8 + 53 + 106 + 212 + 424 = 810</p>

12 <h2>How to Find Factors of 424?</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 424. Identifying the numbers which are multiplied to get the number 424 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply 424 by 1, 424 × 1 = 424.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give 424 after multiplying 2 × 212 = 424 4 × 106 = 424 8 × 53 = 424</p>

21 <p>Therefore, the positive factor pairs of 424 are: (1, 424), (2, 212), (4, 106), (8, 53).</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 424 by 1, 424 ÷ 1 = 424.</p>

26 <p><strong>Step 1:</strong>Divide 424 by 1, 424 ÷ 1 = 424.</p>

28 <p><strong>Step 2:</strong>Continue dividing 424 by the numbers until the remainder becomes 0.</p>

27 <p><strong>Step 2:</strong>Continue dividing 424 by the numbers until the remainder becomes 0.</p>

29 <p>424 ÷ 1 = 424</p>

28 <p>424 ÷ 1 = 424</p>

30 <p>424 ÷ 2 = 212</p>

29 <p>424 ÷ 2 = 212</p>

31 <p>424 ÷ 4 = 106</p>

30 <p>424 ÷ 4 = 106</p>

32 <p>424 ÷ 8 = 53</p>

31 <p>424 ÷ 8 = 53</p>

33 <p>Therefore, the factors of 424 are: 1, 2, 4, 8, 53, 106, 212, 424.</p>

32 <p>Therefore, the factors of 424 are: 1, 2, 4, 8, 53, 106, 212, 424.</p>

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

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

35 <p>The factors can be found by dividing it with a<a>prime number</a>. We can find the prime factors using the following methods:</p>

34 <p>The factors can be found by dividing it with a<a>prime number</a>. We can find the prime factors using the following methods:</p>

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

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

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

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

38 </ul><p>Using Prime Factorization: In this process, prime factors of 424 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

37 </ul><p>Using Prime Factorization: In this process, prime factors of 424 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

39 <p>424 ÷ 2 = 212 212 ÷ 2 = 106 106 ÷ 2 = 53 53 ÷ 53 = 1</p>

38 <p>424 ÷ 2 = 212 212 ÷ 2 = 106 106 ÷ 2 = 53 53 ÷ 53 = 1</p>

40 <p>The prime factors of 424 are 2 and 53.</p>

39 <p>The prime factors of 424 are 2 and 53.</p>

41 <p>The prime factorization of 424 is: 2³ × 53.</p>

40 <p>The prime factorization of 424 is: 2³ × 53.</p>

42 <h3>Factor Tree</h3>

41 <h3>Factor Tree</h3>

43 <p>The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show:</p>

42 <p>The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show:</p>

44 <p><strong>Step 1:</strong>Firstly, 424 is divided by 2 to get 212.</p>

43 <p><strong>Step 1:</strong>Firstly, 424 is divided by 2 to get 212.</p>

45 <p><strong>Step 2:</strong>Now divide 212 by 2 to get 106.</p>

44 <p><strong>Step 2:</strong>Now divide 212 by 2 to get 106.</p>

46 <p><strong>Step 3:</strong>Then divide 106 by 2 to get 53.</p>

45 <p><strong>Step 3:</strong>Then divide 106 by 2 to get 53.</p>

47 <p><strong>Step 4:</strong>Here, 53 is a prime number and cannot be divided further.</p>

46 <p><strong>Step 4:</strong>Here, 53 is a prime number and cannot be divided further.</p>

48 <p>So, the prime factorization of 424 is: 2³ × 53.</p>

47 <p>So, the prime factorization of 424 is: 2³ × 53.</p>

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

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

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

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

51 <p>Positive factor pairs of 424: (1, 424), (2, 212), (4, 106), (8, 53).</p>

50 <p>Positive factor pairs of 424: (1, 424), (2, 212), (4, 106), (8, 53).</p>

52 <p>Negative factor pairs of 424: (-1, -424), (-2, -212), (-4, -106), (-8, -53).</p>

51 <p>Negative factor pairs of 424: (-1, -424), (-2, -212), (-4, -106), (-8, -53).</p>

53 <h2>Common Mistakes and How to Avoid Them in Factors of 424</h2>

52 <h2>Common Mistakes and How to Avoid Them in Factors of 424</h2>

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>

53 <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 + <h2>Download Worksheets</h2>

55 <h3>Problem 1</h3>

56 <p>There are 8 teams and 424 balls. How will they distribute them equally?</p>

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

58 <p>They will get 53 balls each.</p>

59 <h3>Explanation</h3>

60 <p>To divide the balls equally, we need to divide the total balls with the number of teams.</p>

61 <p>424/8 = 53</p>

62 <p>Well explained 👍</p>

63 <h3>Problem 2</h3>

64 <p>A rectangular garden has a length of 53 meters, and the total area is 424 square meters. Find the width.</p>

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

66 <p>8 meters.</p>

67 <h3>Explanation</h3>

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

69 <p>Area = length × width</p>

70 <p>424 = 53 × width</p>

71 <p>To find the value of width, we need to shift 53 to the left side.</p>

72 <p>424/53 = width</p>

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

74 <p>Well explained 👍</p>

75 <h3>Problem 3</h3>

76 <p>There are 212 plants and 424 pots. How many pots will have two plants each?</p>

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

78 <p>All 424 pots will have two plants each.</p>

79 <h3>Explanation</h3>

80 <p>To find the number of plants per pot, divide the total plants with pots.</p>

81 <p>424/212 = 2</p>

82 <p>Well explained 👍</p>

83 <h3>Problem 4</h3>

84 <p>In a class, there are 424 students, and 4 groups. How many students are there in each group?</p>

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

86 <p>There are 106 students in each group.</p>

87 <h3>Explanation</h3>

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

89 <p>424/4 = 106</p>

90 <p>Well explained 👍</p>

91 <h3>Problem 5</h3>

92 <p>424 books need to be arranged in 53 shelves. How many books will go on each shelf?</p>

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

94 <p>Each of the shelves has 8 books.</p>

95 <h3>Explanation</h3>

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

97 <p>424/53 = 8</p>

98 <p>Well explained 👍</p>

99 <h2>FAQs on Factors of 424</h2>

100 <h3>1.What are the factors of 424?</h3>

101 <p>1, 2, 4, 8, 53, 106, 212, 424 are the factors of 424.</p>

102 <h3>2.Mention the prime factors of 424.</h3>

103 <p>The prime factors of 424 are 2³ × 53.</p>

104 <h3>3.Is 424 a multiple of 8?</h3>

105 <h3>4.Mention the factor pairs of 424.</h3>

106 <p>(1, 424), (2, 212), (4, 106), (8, 53) are the factor pairs of 424.</p>

107 <h3>5.What is the square of 424?</h3>

108 <h2>Important Glossaries for Factors of 424</h2>

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 424 are 1, 2, 4, 8, 53, 106, 212, and 424. </li>

110 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 2 and 53 are prime factors of 424. </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 424 are (1, 424), (2, 212), etc. </li>

112 <li><strong>Prime factorization:</strong>The process of expressing a number as the product of its prime factors. For example, the prime factorization of 424 is 2³ × 53. </li>

113 <li><strong>Multiplication method:</strong>A method to find factors by identifying pairs of numbers that multiply to the original number. For example, using multiplication to find that 2 × 212 = 424.</li>

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

115 <p>▶</p>

116 <h2>Hiralee Lalitkumar Makwana</h2>

117 <h3>About the Author</h3>

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>

119 <h3>Fun Fact</h3>

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