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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 7225, how they are used in real life, and the tips to learn them quickly.</p>

4 <h2>What are the Factors of 7225?</h2>

5 <p>The<a>numbers</a>that divide 7225 evenly are known as<a>factors</a><a>of</a>7225.</p>

6 <p>A factor of 7225 is a number that divides the number without<a>remainder</a>.</p>

7 <p>The factors of 7225 are 1, 5, 25, 289, 1445, and 7225.</p>

8 <p><strong>Negative factors of 7225:</strong>-1, -5, -25, -289, -1445, and -7225.</p>

9 <p><strong>Prime factors of 7225:</strong>5 and 17.</p>

10 <p><strong>Prime factorization of 7225:</strong>52 × 172.</p>

11 <p>The<a>sum</a>of factors of 7225: 1 + 5 + 25 + 289 + 1445 + 7225 = 8990</p>

12 <h2>How to Find Factors of 7225?</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 7225. Identifying the numbers which are multiplied to get the number 7225 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply 7225 by 1, 7225 × 1 = 7225.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give 7225 after multiplying:</p>

21 <p>5 × 1445 = 7225</p>

22 <p>25 × 289 = 7225</p>

23 <p>Therefore, the positive factor pairs of 7225 are: (1, 7225), (5, 1445), (25, 289).</p>

24 <p>All these factor pairs result in 7225.</p>

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

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

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

29 <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 the simple division method:</p>

28 <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 the simple division method:</p>

30 <p><strong>Step 1:</strong>Divide 7225 by 1, 7225 ÷ 1 = 7225.</p>

29 <p><strong>Step 1:</strong>Divide 7225 by 1, 7225 ÷ 1 = 7225.</p>

31 <p><strong>Step 2:</strong>Continue dividing 7225 by the numbers until the remainder becomes 0.</p>

30 <p><strong>Step 2:</strong>Continue dividing 7225 by the numbers until the remainder becomes 0.</p>

32 <p>7225 ÷ 1 = 7225</p>

31 <p>7225 ÷ 1 = 7225</p>

33 <p>7225 ÷ 5 = 1445</p>

32 <p>7225 ÷ 5 = 1445</p>

34 <p>7225 ÷ 25 = 289</p>

33 <p>7225 ÷ 25 = 289</p>

35 <p>Therefore, the factors of 7225 are: 1, 5, 25, 289, 1445, 7225.</p>

34 <p>Therefore, the factors of 7225 are: 1, 5, 25, 289, 1445, 7225.</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 7225 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 7225 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

41 <p>7225 ÷ 5 = 1445</p>

40 <p>7225 ÷ 5 = 1445</p>

42 <p>1445 ÷ 5 = 289</p>

41 <p>1445 ÷ 5 = 289</p>

43 <p>289 ÷ 17 = 17</p>

42 <p>289 ÷ 17 = 17</p>

44 <p>17 ÷ 17 = 1</p>

43 <p>17 ÷ 17 = 1</p>

45 <p>The prime factors of 7225 are 5 and 17.</p>

44 <p>The prime factors of 7225 are 5 and 17.</p>

46 <p>The prime factorization of 7225 is: 52 × 172.</p>

45 <p>The prime factorization of 7225 is: 52 × 172.</p>

47 <h2>Factor Tree</h2>

46 <h2>Factor Tree</h2>

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

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

49 <p><strong>Step 1:</strong>Firstly, 7225 is divided by 5 to get 1445.</p>

48 <p><strong>Step 1:</strong>Firstly, 7225 is divided by 5 to get 1445.</p>

50 <p><strong>Step 2:</strong>Now divide 1445 by 5 to get 289.</p>

49 <p><strong>Step 2:</strong>Now divide 1445 by 5 to get 289.</p>

51 <p><strong>Step 3:</strong>Then divide 289 by 17 to get 17. Here, 17 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 7225 is: 52 × 172.</p>

50 <p><strong>Step 3:</strong>Then divide 289 by 17 to get 17. Here, 17 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 7225 is: 52 × 172.</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 7225: (1, 7225), (5, 1445), (25, 289).</p>

53 <p>Positive factor pairs of 7225: (1, 7225), (5, 1445), (25, 289).</p>

55 <p>Negative factor pairs of 7225: (-1, -7225), (-5, -1445), (-25, -289).</p>

54 <p>Negative factor pairs of 7225: (-1, -7225), (-5, -1445), (-25, -289).</p>

56 <h2>Common Mistakes and How to Avoid Them in Factors of 7225</h2>

55 <h2>Common Mistakes and How to Avoid Them in Factors of 7225</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 teachers and 7225 pens. How will they divide it equally?</p>

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

61 <p>They will get 1445 pens each.</p>

62 <h3>Explanation</h3>

63 <p>To divide the pens equally, we need to divide the total pens with the number of teachers.</p>

64 <p>7225/5 = 1445</p>

65 <p>Well explained 👍</p>

66 <h3>Problem 2</h3>

67 <p>A rectangular garden has a length of 25 meters and a total area of 7225 square meters. Find the width.</p>

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

69 <p>289 meters.</p>

70 <h3>Explanation</h3>

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

72 <p>Area = length × width</p>

73 <p>7225 = 25 × width</p>

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

75 <p>7225/25 = width</p>

76 <p>Width = 289.</p>

77 <p>Well explained 👍</p>

78 <h3>Problem 3</h3>

79 <p>There are 289 students and 7225 notebooks. How many notebooks will each student receive?</p>

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

81 <p>Each student will receive 25 notebooks.</p>

82 <h3>Explanation</h3>

83 <p>To find the notebooks each student receives, divide the total notebooks by the number of students.</p>

84 <p>7225/289 = 25</p>

85 <p>Well explained 👍</p>

86 <h3>Problem 4</h3>

87 <p>In a class, there are 25 groups, and 7225 chocolates. How many chocolates are there in each group?</p>

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

89 <p>There are 289 chocolates in each group.</p>

90 <h3>Explanation</h3>

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

92 <p>7225/25 = 289</p>

93 <p>Well explained 👍</p>

94 <h3>Problem 5</h3>

95 <p>7225 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 1445 books.</p>

98 <h3>Explanation</h3>

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

100 <p>7225/5 = 1445</p>

101 <p>Well explained 👍</p>

102 <h2>FAQs on Factors of 7225</h2>

103 <h3>1.What are the factors of 7225?</h3>

104 <p>1, 5, 25, 289, 1445, 7225 are the factors of 7225.</p>

105 <h3>2.Mention the prime factors of 7225.</h3>

106 <p>The prime factors of 7225 are 5^2 × 17^2.</p>

107 <h3>3.Is 7225, a multiple of 5?</h3>

108 <h3>4.Mention the factor pairs of 7225?</h3>

109 <p>(1, 7225), (5, 1445), (25, 289) are the factor pairs of 7225.</p>

110 <h3>5.What is the square of 7225?</h3>

111 <p>The<a>square</a>of 7225 is 52,240,625.</p>

112 <h2>Important Glossaries for Factors of 7225</h2>

113 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 7225 are 1, 5, 25, 289, 1445, and 7225. </li>

114 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 5 and 17 are prime factors of 7225. </li>

115 <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 7225 are (1, 7225), (5, 1445), etc. </li>

116 <li><strong>Prime factorization:</strong>Breaking down a number into its prime number components. For example, the prime factorization of 7225 is 52 × 172. </li>

117 <li><strong>Negative factors:</strong>The negative counterparts of the positive factors of a number. For example, the negative factors of 7225 are -1, -5, -25, -289, -1445, and -7225.</li>

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

119 <p>▶</p>

120 <h2>Hiralee Lalitkumar Makwana</h2>

121 <h3>About the Author</h3>

122 <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>

123 <h3>Fun Fact</h3>

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