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2 <p>Last updated on<strong>December 15, 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 1425, how they are used in real life, and tips to learn them quickly.</p>

4 <h2>What are the Factors of 1425?</h2>

5 <p>The<a>numbers</a>that divide 1425 evenly are known as<a>factors</a><a>of</a>1425.</p>

6 <p>A factor of 1425 is a number that divides the number without<a>remainder</a>.</p>

7 <p>The factors of 1425 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, and 1425.</p>

8 <p><strong>Negative factors of 1425:</strong>-1, -3, -5, -15, -19, -25, -57, -75, -95, -285, -475, and -1425.</p>

9 <p><strong>Prime factors of 1425:</strong>3, 5, and 19.</p>

10 <p><strong>Prime factorization of 1425:</strong>3 × 52 × 19.</p>

11 <p>The<a>sum</a>of factors of 1425: 1 + 3 + 5 + 15 + 19 + 25 + 57 + 75 + 95 + 285 + 475 + 1425 = 2480</p>

12 <h2>How to Find Factors of 1425?</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 1425. Identifying the numbers which are multiplied to get the number 1425 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply 1425 by 1, 1425 × 1 = 1425.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give 1425 after multiplying.</p>

21 <p>3 × 475 = 1425</p>

22 <p>5 × 285 = 1425</p>

23 <p>15 × 95 = 1425</p>

24 <p>19 × 75 = 1425</p>

25 <p>25 × 57 = 1425</p>

26 <p>Therefore, the positive factor pairs of 1425 are: (1, 1425), (3, 475), (5, 285), (15, 95), (19, 75), (25, 57).</p>

27 <p>All these factor pairs result in 1425.</p>

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

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

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

32 <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>

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 a simple division method </p>

33 <p><strong>Step 1:</strong>Divide 1425 by 1, 1425 ÷ 1 = 1425.</p>

32 <p><strong>Step 1:</strong>Divide 1425 by 1, 1425 ÷ 1 = 1425.</p>

34 <p><strong>Step 2:</strong>Continue dividing 1425 by the numbers until the remainder becomes 0.</p>

33 <p><strong>Step 2:</strong>Continue dividing 1425 by the numbers until the remainder becomes 0.</p>

35 <p>1425 ÷ 1 = 1425</p>

34 <p>1425 ÷ 1 = 1425</p>

36 <p>1425 ÷ 3 = 475</p>

35 <p>1425 ÷ 3 = 475</p>

37 <p>1425 ÷ 5 = 285</p>

36 <p>1425 ÷ 5 = 285</p>

38 <p>1425 ÷ 15 = 95</p>

37 <p>1425 ÷ 15 = 95</p>

39 <p>1425 ÷ 19 = 75</p>

38 <p>1425 ÷ 19 = 75</p>

40 <p>1425 ÷ 25 = 57</p>

39 <p>1425 ÷ 25 = 57</p>

41 <p>Therefore, the factors of 1425 are: 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, 1425.</p>

40 <p>Therefore, the factors of 1425 are: 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, 1425.</p>

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

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

43 <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 <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>

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

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

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

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

46 </ul><p><strong>Using Prime Factorization:</strong>In this process, prime factors of 1425 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

45 </ul><p><strong>Using Prime Factorization:</strong>In this process, prime factors of 1425 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

47 <p>1425 ÷ 3 = 475</p>

46 <p>1425 ÷ 3 = 475</p>

48 <p>475 ÷ 5 = 95</p>

47 <p>475 ÷ 5 = 95</p>

49 <p>95 ÷ 5 = 19</p>

48 <p>95 ÷ 5 = 19</p>

50 <p>19 ÷ 19 = 1</p>

49 <p>19 ÷ 19 = 1</p>

51 <p>The prime factors of 1425 are 3, 5, and 19. The prime factorization of 1425 is: 3 × 52 × 19.</p>

50 <p>The prime factors of 1425 are 3, 5, and 19. The prime factorization of 1425 is: 3 × 52 × 19.</p>

52 <h3>Factor Tree</h3>

51 <h3>Factor Tree</h3>

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

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

54 <p><strong>Step 1:</strong>Firstly, 1425 is divided by 3 to get 475.</p>

53 <p><strong>Step 1:</strong>Firstly, 1425 is divided by 3 to get 475.</p>

55 <p><strong>Step 2:</strong>Now divide 475 by 5 to get 95.</p>

54 <p><strong>Step 2:</strong>Now divide 475 by 5 to get 95.</p>

56 <p><strong>Step 3:</strong>Then divide 95 by 5 to get 19. Here, 19 is a prime number that cannot be divided anymore.</p>

55 <p><strong>Step 3:</strong>Then divide 95 by 5 to get 19. Here, 19 is a prime number that cannot be divided anymore.</p>

57 <p>So, the prime factorization of 1425 is: 3 × 52 × 19.</p>

56 <p>So, the prime factorization of 1425 is: 3 × 52 × 19.</p>

58 <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>

57 <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>

59 <p>Positive factor pairs of 1425: (1, 1425), (3, 475), (5, 285), (15, 95), (19, 75), and (25, 57).</p>

58 <p>Positive factor pairs of 1425: (1, 1425), (3, 475), (5, 285), (15, 95), (19, 75), and (25, 57).</p>

60 <p>Negative factor pairs of 1425: (-1, -1425), (-3, -475), (-5, -285), (-15, -95), (-19, -75), and (-25, -57).</p>

59 <p>Negative factor pairs of 1425: (-1, -1425), (-3, -475), (-5, -285), (-15, -95), (-19, -75), and (-25, -57).</p>

61 <h2>Common Mistakes and How to Avoid Them in Factors of 1425</h2>

60 <h2>Common Mistakes and How to Avoid Them in Factors of 1425</h2>

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>

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>

62 + <h2>Download Worksheets</h2>

63 <h3>Problem 1</h3>

64 <p>There are 15 students and 1425 pencils. How will they divide them equally?</p>

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

66 <p>They will get 95 pencils each.</p>

67 <h3>Explanation</h3>

68 <p>To divide the pencils equally, we need to divide the total pencils by the number of students.</p>

69 <p>1425/15 = 95</p>

70 <p>Well explained 👍</p>

71 <h3>Problem 2</h3>

72 <p>A rectangular garden has a length of 95 meters and a total area of 1425 square meters. Find the width.</p>

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

74 <p>15 meters.</p>

75 <h3>Explanation</h3>

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

77 <p>Area = length × width</p>

78 <p>1425 = 95 × width</p>

79 <p>To find the value of width, we need to shift 95 to the left side.</p>

80 <p>1425/95 = width</p>

81 <p>Width = 15.</p>

82 <p>Well explained 👍</p>

83 <h3>Problem 3</h3>

84 <p>There are 19 boxes and 1425 marbles. How many marbles will be in each box?</p>

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

86 <p>Each box will have 75 marbles.</p>

87 <h3>Explanation</h3>

88 <p>To find the marbles in each box, divide the total marbles by the boxes.</p>

89 <p>1425/19 = 75</p>

90 <p>Well explained 👍</p>

91 <h3>Problem 4</h3>

92 <p>In a class, there are 285 students and 5 groups. How many students are there in each group?</p>

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

94 <p>There are 57 students in each group.</p>

95 <h3>Explanation</h3>

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

97 <p>285/5 = 57</p>

98 <p>Well explained 👍</p>

99 <h3>Problem 5</h3>

100 <p>1425 books need to be arranged in 25 shelves. How many books will go on each shelf?</p>

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

102 <p>Each of the shelves has 57 books.</p>

103 <h3>Explanation</h3>

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

105 <p>1425/25 = 57</p>

106 <p>Well explained 👍</p>

107 <h2>FAQs on Factors of 1425</h2>

108 <h3>1.What are the factors of 1425?</h3>

109 <p>1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, 1425 are the factors of 1425.</p>

110 <h3>2.Mention the prime factors of 1425.</h3>

111 <p>The prime factors of 1425 are 3 × 52 × 19.</p>

112 <h3>3.Is 1425, a multiple of 19?</h3>

113 <h3>4.Mention the factor pairs of 1425?</h3>

114 <p>(1, 1425), (3, 475), (5, 285), (15, 95), (19, 75), and (25, 57) are the factor pairs of 1425.</p>

115 <h3>5.What is the square of 1425?</h3>

116 <p>The<a>square</a>of 1425 is 2,030,625.</p>

117 <h2>Important Glossaries for Factor of 1425</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 1425 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, and 1425.</li>

119 </ul><ul><li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 3, 5, and 19 are prime factors of 1425.</li>

120 </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 1425 are (1, 1425), (3, 475), etc.</li>

121 </ul><ul><li><strong>Prime factorization:</strong>The expression of a number as the multiplication of its prime factors. For example, the prime factorization of 1425 is 3 × 52 × 19.</li>

122 </ul><ul><li><strong>Multiple:</strong>A number that can be divided by another number without leaving a remainder. For example, 1425 is a multiple of 19.</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>