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2 <p>Last updated on<strong>December 11, 2025</strong></p>

3 <p>Factors are the numbers that divide any given number evenly without a 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 297, how they are used in real life, and the tips to learn them quickly.</p>

4 <h2>What are the Factors of 297?</h2>

5 <p>The<a>numbers</a>that divide 297 evenly are known as<a>factors</a><a>of</a>297.</p>

6 <p>A factor of 297 is a number that divides the number without a<a>remainder</a>.</p>

7 <p>The factors of 297 are 1, 3, 9, 11, 27, 33, 99, and 297.</p>

8 <p>Negative factors of 297: -1, -3, -9, -11, -27, -33, -99, and -297.</p>

9 <p>Prime factors of 297: 3 and 11.</p>

10 <p>Prime factorization of 297: 33 × 11.</p>

11 <p>The<a>sum</a>of factors of 297: 1 + 3 + 9 + 11 + 27 + 33 + 99 + 297 = 480</p>

12 <h2>How to Find Factors of 297?</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 297. Identifying the numbers which are multiplied to get the number 297 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply 297 by 1, 297 × 1 = 297.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give 297 after multiplying</p>

21 <p>3 × 99 = 297</p>

22 <p>9 × 33 = 297</p>

23 <p>11 × 27 = 297</p>

24 <p><strong>Therefore, the positive factor pairs of 297 are:</strong>(1, 297), (3, 99), (9, 33), (11, 27).</p>

25 <p>All these factor pairs result in 297.</p>

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

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

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

30 <p>Dividing the given numbers with<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>

29 <p>Dividing the given numbers with<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><strong>Step 1:</strong>Divide 297 by 1, 297 ÷ 1 = 297.</p>

30 <p><strong>Step 1:</strong>Divide 297 by 1, 297 ÷ 1 = 297.</p>

32 <p><strong>Step 2:</strong>Continue dividing 297 by the numbers until the remainder becomes 0.</p>

31 <p><strong>Step 2:</strong>Continue dividing 297 by the numbers until the remainder becomes 0.</p>

33 <p>297 ÷ 1 = 297</p>

32 <p>297 ÷ 1 = 297</p>

34 <p>297 ÷ 3 = 99</p>

33 <p>297 ÷ 3 = 99</p>

35 <p>297 ÷ 9 = 33</p>

34 <p>297 ÷ 9 = 33</p>

36 <p>297 ÷ 11 = 27</p>

35 <p>297 ÷ 11 = 27</p>

37 <p><strong>Therefore, the factors of 297 are:</strong>1, 3, 9, 11, 27, 33, 99, 297.</p>

36 <p><strong>Therefore, the factors of 297 are:</strong>1, 3, 9, 11, 27, 33, 99, 297.</p>

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

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

39 <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 <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>

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

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

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

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

42 </ul><p>Using Prime Factorization: In this process, prime factors of 297 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

41 </ul><p>Using Prime Factorization: In this process, prime factors of 297 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

43 <p>297 ÷ 3 = 99</p>

42 <p>297 ÷ 3 = 99</p>

44 <p>99 ÷ 3 = 33</p>

43 <p>99 ÷ 3 = 33</p>

45 <p>33 ÷ 3 = 11</p>

44 <p>33 ÷ 3 = 11</p>

46 <p>11 ÷ 11 = 1</p>

45 <p>11 ÷ 11 = 1</p>

47 <p>The prime factors of 297 are 3 and 11.</p>

46 <p>The prime factors of 297 are 3 and 11.</p>

48 <p>The prime factorization of 297 is: 33 × 11.</p>

47 <p>The prime factorization of 297 is: 33 × 11.</p>

49 <h3>Factor Tree</h3>

48 <h3>Factor Tree</h3>

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

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

51 <p><strong>Step 1:</strong>Firstly, 297 is divided by 3 to get 99.</p>

50 <p><strong>Step 1:</strong>Firstly, 297 is divided by 3 to get 99.</p>

52 <p><strong>Step 2:</strong>Now divide 99 by 3 to get 33.</p>

51 <p><strong>Step 2:</strong>Now divide 99 by 3 to get 33.</p>

53 <p><strong>Step 3</strong>: Then divide 33 by 3 to get 11. Here, 11 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 297 is: 33 × 11.</p>

52 <p><strong>Step 3</strong>: Then divide 33 by 3 to get 11. Here, 11 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 297 is: 33 × 11.</p>

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

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

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

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

56 <p>Positive factor pairs of 297: (1, 297), (3, 99), (9, 33), (11, 27).</p>

55 <p>Positive factor pairs of 297: (1, 297), (3, 99), (9, 33), (11, 27).</p>

57 <p>Negative factor pairs of 297: (-1, -297), (-3, -99), (-9, -33), (-11, -27).</p>

56 <p>Negative factor pairs of 297: (-1, -297), (-3, -99), (-9, -33), (-11, -27).</p>

58 <h2>Common Mistakes and How to Avoid Them in Factors of 297</h2>

57 <h2>Common Mistakes and How to Avoid Them in Factors of 297</h2>

59 <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>

58 <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>

59 + <h2>Download Worksheets</h2>

60 <h3>Problem 1</h3>

61 <p>A group of students collected 297 seashells, and they want to share them equally among 9 students. How many seashells will each student get?</p>

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

63 <p>Each student will get 33 seashells.</p>

64 <h3>Explanation</h3>

65 <p>To divide the seashells equally, we need to divide the total seashells with the number of students.</p>

66 <p>297/9 = 33</p>

67 <p>Well explained 👍</p>

68 <h3>Problem 2</h3>

69 <p>A garden is rectangular, the length of the garden is 27 meters and the total area is 297 square meters. Find the width?</p>

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

71 <p>11 meters.</p>

72 <h3>Explanation</h3>

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

74 <p>Area = length × width</p>

75 <p>297 = 27 × width</p>

76 <p>To find the value of width, we need to shift 27 to the left side.</p>

77 <p>297/27 = width</p>

78 <p>Width = 11.</p>

79 <p>Well explained 👍</p>

80 <h3>Problem 3</h3>

81 <p>There are 11 baskets and 297 apples. How many apples will be in each basket?</p>

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

83 <p>Each basket will have 27 apples.</p>

84 <h3>Explanation</h3>

85 <p>To find the apples in each basket, divide the total apples with the baskets.</p>

86 <p>297/11 = 27</p>

87 <p>Well explained 👍</p>

88 <h3>Problem 4</h3>

89 <p>A class has 297 students, divided into groups of 3. How many groups are there?</p>

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

91 <p>There are 99 groups.</p>

92 <h3>Explanation</h3>

93 <p>Dividing the students with the group size, we will get the number of groups.</p>

94 <p>297/3 = 99</p>

95 <p>Well explained 👍</p>

96 <h3>Problem 5</h3>

97 <p>297 books need to be arranged in 33 shelves. How many books will go on each shelf?</p>

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

99 <p>Each shelf will have 9 books.</p>

100 <h3>Explanation</h3>

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

102 <p>297/33 = 9</p>

103 <p>Well explained 👍</p>

104 <h2>FAQs on Factors of 297</h2>

105 <h3>1.What are the factors of 297?</h3>

106 <p>1, 3, 9, 11, 27, 33, 99, 297 are the factors of 297.</p>

107 <h3>2.Mention the prime factors of 297.</h3>

108 <p>The prime factors of 297 are 33 × 11.</p>

109 <h3>3.Is 297 a multiple of 9?</h3>

110 <h3>4.Mention the factor pairs of 297?</h3>

111 <p>(1, 297), (3, 99), (9, 33), (11, 27) are the factor pairs of 297.</p>

112 <h3>5.What is the square of 297?</h3>

113 <h2>Important Glossaries for Factor of 297</h2>

114 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 297 are 1, 3, 9, 11, 27, 33, 99, and 297.</li>

115 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 3 and 11 are prime factors of 297.</li>

116 <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 297 are (1, 297), (3, 99), etc.</li>

117 <li><strong>Prime factorization:</strong>The expression of a number as the product of its prime factors. For example, the prime factorization of 297 is 3^3 × 11.</li>

118 <li><strong>Multiple:</strong>A number that can be divided by another number without leaving a remainder. For example, 297 is a multiple of 3.</li>

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

120 <p>▶</p>

121 <h2>Hiralee Lalitkumar Makwana</h2>

122 <h3>About the Author</h3>

123 <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>

124 <h3>Fun Fact</h3>

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