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

4 <h2>What are the Factors of 425?</h2>

5 <p>The<a>numbers</a>that divide 425 evenly are known as<a>factors</a>of 425.</p>

6 <p>A factor of 425 is a number that divides the number without<a>remainder</a>.</p>

7 <p>The factors of 425 are 1, 5, 17, 25, 85, and 425.</p>

8 <p><strong>Negative factors of 425:</strong>-1, -5, -17, -25, -85, and -425.</p>

9 <p><strong>Prime factors of 425:</strong>5 and 17.</p>

10 <p><strong>Prime factorization of 425:</strong>5 × 5 × 17.</p>

11 <p>The<a>sum</a>of factors of 425: 1 + 5 + 17 + 25 + 85 + 425 = 558</p>

12 <h2>How to Find Factors of 425?</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 425. Identifying the numbers which are multiplied to get the number 425 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply 425 by 1, 425 × 1 = 425.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give 425 after multiplying 5 × 85 = 425 17 × 25 = 425</p>

21 <p>Therefore, the positive factor pairs of 425 are: (1, 425), (5, 85), and (17, 25).</p>

22 <p>All these factor pairs result in 425.</p>

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

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

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

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 a whole numbers as factors.Factors can be calculated by following simple division method -</p>

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 a whole numbers as factors.Factors can be calculated by following simple division method -</p>

28 <p><strong>Step 1:</strong>Divide 425 by 1, 425 ÷ 1 = 425.</p>

27 <p><strong>Step 1:</strong>Divide 425 by 1, 425 ÷ 1 = 425.</p>

29 <p><strong>Step 2:</strong>Continue dividing 425 by the numbers until the remainder becomes 0.</p>

28 <p><strong>Step 2:</strong>Continue dividing 425 by the numbers until the remainder becomes 0.</p>

30 <p>425 ÷ 1 = 425</p>

29 <p>425 ÷ 1 = 425</p>

31 <p>425 ÷ 5 = 85</p>

30 <p>425 ÷ 5 = 85</p>

32 <p>425 ÷ 17 = 25</p>

31 <p>425 ÷ 17 = 25</p>

33 <p>425 ÷ 25 = 17</p>

32 <p>425 ÷ 25 = 17</p>

34 <p>425 ÷ 85 = 5</p>

33 <p>425 ÷ 85 = 5</p>

35 <p>Therefore, the factors of 425 are: 1, 5, 17, 25, 85, 425.</p>

34 <p>Therefore, the factors of 425 are: 1, 5, 17, 25, 85, 425.</p>

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

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

37 <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>

36 <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>

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

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

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

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

40 </ul><p>Using Prime Factorization: In this process, prime factors of 425 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

39 </ul><p>Using Prime Factorization: In this process, prime factors of 425 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

41 <p>425 ÷ 5 = 85</p>

40 <p>425 ÷ 5 = 85</p>

42 <p>85 ÷ 5 = 17</p>

41 <p>85 ÷ 5 = 17</p>

43 <p>17 ÷ 17 = 1</p>

42 <p>17 ÷ 17 = 1</p>

44 <p>The prime factors of 425 are 5 and 17.</p>

43 <p>The prime factors of 425 are 5 and 17.</p>

45 <p>The prime factorization of 425 is: 5 × 5 × 17.</p>

44 <p>The prime factorization of 425 is: 5 × 5 × 17.</p>

46 <h3>Factor Tree</h3>

45 <h3>Factor Tree</h3>

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

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

48 <p><strong>Step 1:</strong>Firstly, 425 is divided by 5 to get 85.</p>

47 <p><strong>Step 1:</strong>Firstly, 425 is divided by 5 to get 85.</p>

49 <p><strong>Step 2:</strong>Now divide 85 by 5 to get 17.</p>

48 <p><strong>Step 2:</strong>Now divide 85 by 5 to get 17.</p>

50 <p><strong>Step 3:</strong>17 is a prime number and cannot be divided further.</p>

49 <p><strong>Step 3:</strong>17 is a prime number and cannot be divided further.</p>

51 <p>So, the prime factorization of 425 is: 5 × 5 × 17.</p>

50 <p>So, the prime factorization of 425 is: 5 × 5 × 17.</p>

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

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

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

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

54 <p>Positive factor pairs of 425: (1, 425), (5, 85), and (17, 25).</p>

53 <p>Positive factor pairs of 425: (1, 425), (5, 85), and (17, 25).</p>

55 <p>Negative factor pairs of 425: (-1, -425), (-5, -85), and (-17, -25).</p>

54 <p>Negative factor pairs of 425: (-1, -425), (-5, -85), and (-17, -25).</p>

56 <h2>Common Mistakes and How to Avoid Them in Factors of 425</h2>

55 <h2>Common Mistakes and How to Avoid Them in Factors of 425</h2>

57 <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 <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>

57 + <h2>Download Worksheets</h2>

58 <h3>Problem 1</h3>

59 <p>There are 5 friends and 425 candies. How will they divide it equally?</p>

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

61 <p>They will get 85 candies each.</p>

62 <h3>Explanation</h3>

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

64 <p>425/5 = 85</p>

65 <p>Well explained 👍</p>

66 <h3>Problem 2</h3>

67 <p>A painting is rectangular, the height of the painting is 25 inches and the total area is 425 square inches. Find the width?</p>

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

69 <p>17 inches.</p>

70 <h3>Explanation</h3>

71 <p>To find the width of the painting, we use the formula,</p>

72 <p>Area = height × width</p>

73 <p>425 = 25 × width</p>

74 <p>To find the value of width, we need to shift 25 to the left side.</p>

75 <p>425/25 = width</p>

76 <p>Width = 17.</p>

77 <p>Well explained 👍</p>

78 <h3>Problem 3</h3>

79 <p>There are 17 gift boxes and 425 chocolates. How many chocolates will be in each box?</p>

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

81 <p>Each box will have 25 chocolates.</p>

82 <h3>Explanation</h3>

83 <p>To find the chocolates in each box, divide the total chocolates by the number of boxes.</p>

84 <p>425/17 = 25</p>

85 <p>Well explained 👍</p>

86 <h3>Problem 4</h3>

87 <p>In a workshop, there are 85 participants, and 5 groups. How many participants are there in each group?</p>

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

89 <p>There are 17 participants in each group.</p>

90 <h3>Explanation</h3>

91 <p>Dividing the participants by the total groups, we will get the number of participants in each group.</p>

92 <p>85/5 = 17</p>

93 <p>Well explained 👍</p>

94 <h3>Problem 5</h3>

95 <p>425 books need to be arranged in 5 shelves. How many books will go on each shelf?</p>

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

97 <p>Each of the shelves has 85 books.</p>

98 <h3>Explanation</h3>

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

100 <p>425/5 = 85</p>

101 <p>Well explained 👍</p>

102 <h2>FAQs on Factors of 425</h2>

103 <h3>1.What are the factors of 425?</h3>

104 <p>1, 5, 17, 25, 85, 425 are the factors of 425.</p>

105 <h3>2.Mention the prime factors of 425.</h3>

106 <p>The prime factors of 425 are 5 × 5 × 17.</p>

107 <h3>3.Is 425 a multiple of 5?</h3>

108 <h3>4.Mention the factor pairs of 425?</h3>

109 <p>(1, 425), (5, 85), and (17, 25) are the factor pairs of 425.</p>

110 <h3>5.What is the square of 425?</h3>

111 <h2>Important Glossaries for Factor of 425</h2>

112 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 425 are 1, 5, 17, 25, 85, and 425. </li>

113 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 5 and 17 are prime factors of 425. </li>

114 <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 425 are (1, 425), (5, 85), etc. </li>

115 <li><strong>Prime factorization:</strong>The expression of a number as the product of its prime factors. For example, the prime factorization of 425 is 5 × 5 × 17. </li>

116 <li><strong>Multiples:</strong>A multiple of a number is the product of that number and an integer. For example, 425 is a multiple of 5.</li>

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

118 <p>▶</p>

119 <h2>Hiralee Lalitkumar Makwana</h2>

120 <h3>About the Author</h3>

121 <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>

122 <h3>Fun Fact</h3>

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