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

4 <h2>What are the Factors of 725?</h2>

5 <p>The<a>numbers</a>that divide 725 evenly are known as<a>factors</a>of 725.</p>

6 <p>A factor of 725 is a number that divides the number without<a>remainder</a>.</p>

7 <p>The factors of 725 are 1, 5, 145, and 725.</p>

8 <p><strong>Negative factors of 725:</strong>-1, -5, -145, and -725.</p>

9 <p><strong>Prime factors of 725:</strong>5 and 29.</p>

10 <p><strong>Prime factorization of 725:</strong>5 × 145 or 5 × 29.</p>

11 <p>The<a>sum</a>of factors of 725: 1 + 5 + 145 + 725 = 876</p>

12 <h2>How to Find Factors of 725?</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 725. Identifying the numbers which are multiplied to get the number 725 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply 725 by 1, 725 × 1 = 725.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give 725 after multiplying</p>

21 <p>5 × 145 = 725</p>

22 <p>Therefore, the positive factor pairs of 725 are: (1, 725) and (5, 145).</p>

23 <p>All these factor pairs result in 725.</p>

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

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

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

28 <p>Dividing the given numbers with the<a>whole numbers</a>until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method -</p>

27 <p>Dividing the given numbers with the<a>whole numbers</a>until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method -</p>

29 <p><strong>Step 1:</strong>Divide 725 by 1, 725 ÷ 1 = 725.</p>

28 <p><strong>Step 1:</strong>Divide 725 by 1, 725 ÷ 1 = 725.</p>

30 <p><strong>Step 2:</strong>Continue dividing 725 by the numbers until the remainder becomes 0.</p>

29 <p><strong>Step 2:</strong>Continue dividing 725 by the numbers until the remainder becomes 0.</p>

31 <p>725 ÷ 1 = 725</p>

30 <p>725 ÷ 1 = 725</p>

32 <p>725 ÷ 5 = 145</p>

31 <p>725 ÷ 5 = 145</p>

33 <p>725 ÷ 145 = 5</p>

32 <p>725 ÷ 145 = 5</p>

34 <p>Therefore, the factors of 725 are: 1, 5, 145, 725.</p>

33 <p>Therefore, the factors of 725 are: 1, 5, 145, 725.</p>

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

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

36 <p>The factors can be found by dividing them with<a>prime numbers</a>. We can find the<a>prime factors</a>using the following methods:</p>

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

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

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

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

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

39 </ul><p>Using Prime Factorization: In this process, prime factors of 725 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

38 </ul><p>Using Prime Factorization: In this process, prime factors of 725 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

40 <p>725 ÷ 5 = 145</p>

39 <p>725 ÷ 5 = 145</p>

41 <p>145 ÷ 5 = 29</p>

40 <p>145 ÷ 5 = 29</p>

42 <p>29 ÷ 29 = 1</p>

41 <p>29 ÷ 29 = 1</p>

43 <p>The prime factors of 725 are 5 and 29.</p>

42 <p>The prime factors of 725 are 5 and 29.</p>

44 <p>The prime factorization of 725 is: 5 × 29.</p>

43 <p>The prime factorization of 725 is: 5 × 29.</p>

45 <h3>Factor Tree</h3>

44 <h3>Factor Tree</h3>

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

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

47 <p><strong>Step 1:</strong>Firstly, 725 is divided by 5 to get 145.</p>

46 <p><strong>Step 1:</strong>Firstly, 725 is divided by 5 to get 145.</p>

48 <p><strong>Step 2:</strong>Now divide 145 by 5 to get 29.</p>

47 <p><strong>Step 2:</strong>Now divide 145 by 5 to get 29.</p>

49 <p>Here, 29 is the smallest prime number that cannot be divided anymore.</p>

48 <p>Here, 29 is the smallest prime number that cannot be divided anymore.</p>

50 <p>So, the prime factorization of 725 is: 5 × 29.</p>

49 <p>So, the prime factorization of 725 is: 5 × 29.</p>

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

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

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

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

53 <p>Positive factor pairs of 725: (1, 725) and (5, 145).</p>

52 <p>Positive factor pairs of 725: (1, 725) and (5, 145).</p>

54 <p>Negative factor pairs of 725: (-1, -725) and (-5, -145).</p>

53 <p>Negative factor pairs of 725: (-1, -725) and (-5, -145).</p>

55 <h2>Common Mistakes and How to Avoid Them in Factors of 725</h2>

54 <h2>Common Mistakes and How to Avoid Them in Factors of 725</h2>

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>

55 <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 + <h2>Download Worksheets</h2>

57 <h3>Problem 1</h3>

58 <p>There are 5 teachers and 725 students. How will they divide the students equally among themselves?</p>

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

60 <p>They will get 145 students each.</p>

61 <h3>Explanation</h3>

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

63 <p>725/5 = 145</p>

64 <p>Well explained 👍</p>

65 <h3>Problem 2</h3>

66 <p>A rectangular room has a length of 145 meters and the total area is 725 square meters. Find the width?</p>

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

68 <p>5 meters.</p>

69 <h3>Explanation</h3>

70 <p>To find the width of the room, we use the formula,</p>

71 <p>Area = length × width</p>

72 <p>725 = 145 × width</p>

73 <p>To find the value of the width, we need to shift 145 to the left side.</p>

74 <p>725/145 = width</p>

75 <p>Width = 5.</p>

76 <p>Well explained 👍</p>

77 <h3>Problem 3</h3>

78 <p>There are 29 boxes and 725 marbles. How many marbles will be in each box?</p>

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

80 <p>Each box will have 25 marbles.</p>

81 <h3>Explanation</h3>

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

83 <p>725/29 = 25</p>

84 <p>Well explained 👍</p>

85 <h3>Problem 4</h3>

86 <p>In a workshop, there are 725 tools, and 145 toolkits. How many tools should each toolkit contain?</p>

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

88 <p>Each toolkit should contain 5 tools.</p>

89 <h3>Explanation</h3>

90 <p>Dividing the tools by the total toolkits, we will get the number of tools in each toolkit.</p>

91 <p>725/145 = 5</p>

92 <p>Well explained 👍</p>

93 <h3>Problem 5</h3>

94 <p>725 candies need to be distributed among 145 children. How many candies will each child get?</p>

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

96 <p>Each child will get 5 candies.</p>

97 <h3>Explanation</h3>

98 <p>Divide total candies by the number of children.</p>

99 <p>725/145 = 5</p>

100 <p>Well explained 👍</p>

101 <h2>FAQs on Factors of 725</h2>

102 <h3>1.What are the factors of 725?</h3>

103 <p>1, 5, 145, 725 are the factors of 725.</p>

104 <h3>2.Mention the prime factors of 725.</h3>

105 <p>The prime factors of 725 are 5 × 29.</p>

106 <h3>3.Is 725 a multiple of 5?</h3>

107 <h3>4.Mention the factor pairs of 725?</h3>

108 <p>(1, 725) and (5, 145) are the factor pairs of 725.</p>

109 <h3>5.What is the square of 725?</h3>

110 <h2>Important Glossaries for Factors of 725</h2>

111 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 725 are 1, 5, 145, and 725. </li>

112 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 5 and 29 are prime factors of 725. </li>

113 <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 725 are (1, 725) and (5, 145). </li>

114 <li><strong>Prime factorization:</strong>The expression of a number as the product of its prime factors. For example, the prime factorization of 725 is 5 × 29. </li>

115 <li><strong>Multiplication method:</strong>A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, to find factors of 725, identify pairs like (5, 145).</li>

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

117 <p>▶</p>

118 <h2>Hiralee Lalitkumar Makwana</h2>

119 <h3>About the Author</h3>

120 <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>

121 <h3>Fun Fact</h3>

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