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

4 <h2>What are the Factors of 969?</h2>

5 <p>The<a>numbers</a>that divide 969 evenly are known as<a>factors</a><a>of</a>969.</p>

6 <p>A factor of 969 is a number that divides the number without<a>remainder</a>.</p>

7 <p>The factors of 969 are 1, 3, 17, 51, 19, 57, 323, and 969.</p>

8 <p>Negative factors of 969: -1, -3, -17, -51, -19, -57, -323, and -969.</p>

9 <p>Prime factors of 969: 3, 17, and 19.</p>

10 <p>Prime factorization of 969: 3 × 17 × 19.</p>

11 <p>The<a>sum</a>of factors of 969: 1 + 3 + 17 + 51 + 19 + 57 + 323 + 969 = 1440</p>

12 <h2>How to Find Factors of 969?</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 969. Identifying the numbers which are multiplied to get the number 969 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply 969 by 1, 969 × 1 = 969.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give 969 after multiplying </p>

21 <p>3 × 323 = 969 </p>

22 <p>17 × 57 = 969 </p>

23 <p>19 × 51 = 969</p>

24 <p><strong>Therefore, the positive factor pairs of 969 are:</strong>(1, 969), (3, 323), (17, 57), (19, 51).</p>

25 <p>All these factor pairs result in 969.</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 969 by 1, 969 ÷ 1 = 969.</p>

30 <p><strong>Step 1:</strong>Divide 969 by 1, 969 ÷ 1 = 969.</p>

32 <p><strong>Step 2:</strong>Continue dividing 969 by the numbers until the remainder becomes 0.</p>

31 <p><strong>Step 2:</strong>Continue dividing 969 by the numbers until the remainder becomes 0.</p>

33 <p>969 ÷ 1 = 969</p>

32 <p>969 ÷ 1 = 969</p>

34 <p>969 ÷ 3 = 323</p>

33 <p>969 ÷ 3 = 323</p>

35 <p>969 ÷ 17 = 57</p>

34 <p>969 ÷ 17 = 57</p>

36 <p>969 ÷ 19 = 51</p>

35 <p>969 ÷ 19 = 51</p>

37 <p><strong>Therefore, the factors of 969 are:</strong>1, 3, 17, 19, 51, 57, 323, 969.</p>

36 <p><strong>Therefore, the factors of 969 are:</strong>1, 3, 17, 19, 51, 57, 323, 969.</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 969 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 969 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

43 <p>969 ÷ 3 = 323</p>

42 <p>969 ÷ 3 = 323</p>

44 <p>323 ÷ 17 = 19</p>

43 <p>323 ÷ 17 = 19</p>

45 <p>19 ÷ 19 = 1</p>

44 <p>19 ÷ 19 = 1</p>

46 <p>The prime factors of 969 are 3, 17, and 19.</p>

45 <p>The prime factors of 969 are 3, 17, and 19.</p>

47 <p>The prime factorization of 969 is: 3 × 17 × 19.</p>

46 <p>The prime factorization of 969 is: 3 × 17 × 19.</p>

48 <h3>Factor Tree</h3>

47 <h3>Factor Tree</h3>

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

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

50 <p><strong>Step 1:</strong>Firstly, 969 is divided by 3 to get 323.</p>

49 <p><strong>Step 1:</strong>Firstly, 969 is divided by 3 to get 323.</p>

51 <p><strong>Step 2:</strong>Now divide 323 by 17 to get 19.</p>

50 <p><strong>Step 2:</strong>Now divide 323 by 17 to get 19.</p>

52 <p><strong>Step 3:</strong>19 is a prime number, so the process stops here. So, the prime factorization of 969 is: 3 × 17 × 19.</p>

51 <p><strong>Step 3:</strong>19 is a prime number, so the process stops here. So, the prime factorization of 969 is: 3 × 17 × 19.</p>

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

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

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

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

55 <p>Positive factor pairs of 969: (1, 969), (3, 323), (17, 57), and (19, 51).</p>

54 <p>Positive factor pairs of 969: (1, 969), (3, 323), (17, 57), and (19, 51).</p>

56 <p>Negative factor pairs of 969: (-1, -969), (-3, -323), (-17, -57), and (-19, -51).</p>

55 <p>Negative factor pairs of 969: (-1, -969), (-3, -323), (-17, -57), and (-19, -51).</p>

57 <h2>Common Mistakes and How to Avoid Them in Factors of 969</h2>

56 <h2>Common Mistakes and How to Avoid Them in Factors of 969</h2>

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>

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>

58 + <h2>Download Worksheets</h2>

59 <h3>Problem 1</h3>

60 <p>There are 969 apples to be distributed equally among 3 baskets. How many apples will each basket contain?</p>

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

62 <p>Each basket will contain 323 apples.</p>

63 <h3>Explanation</h3>

64 <p>To divide the apples equally, we need to divide the total apples by the number of baskets.</p>

65 <p>969/3 = 323</p>

66 <p>Well explained 👍</p>

67 <h3>Problem 2</h3>

68 <p>A rectangular field has an area of 969 square meters, with a length of 51 meters. What is the width?</p>

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

70 <p>19 meters.</p>

71 <h3>Explanation</h3>

72 <p>To find the width of the field, we use the formula, </p>

73 <p>Area = length × width </p>

74 <p>969 = 51 × width </p>

75 <p>To find the value of width, we need to shift 51 to the left side. </p>

76 <p>969/51 = width </p>

77 <p>Width = 19.</p>

78 <p>Well explained 👍</p>

79 <h3>Problem 3</h3>

80 <p>There are 969 oranges and 57 people. How many oranges will each person get if distributed equally?</p>

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

82 <p>Each person will get 17 oranges.</p>

83 <h3>Explanation</h3>

84 <p>To find the oranges each person will get, divide the total oranges by the number of people. </p>

85 <p>969/57 = 17</p>

86 <p>Well explained 👍</p>

87 <h3>Problem 4</h3>

88 <p>In a class, there are 19 groups, and there are 969 students. How many students are there in each group?</p>

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

90 <p>There are 51 students in each group.</p>

91 <h3>Explanation</h3>

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

93 <p>969/19 = 51</p>

94 <p>Well explained 👍</p>

95 <h3>Problem 5</h3>

96 <p>969 books need to be arranged in 323 shelves. How many books will go on each shelf?</p>

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

98 <p>Each shelf will have 3 books.</p>

99 <h3>Explanation</h3>

100 <p>Divide the total books by the number of shelves. </p>

101 <p>969/323 = 3</p>

102 <p>Well explained 👍</p>

103 <h2>FAQs on Factors of 969</h2>

104 <h3>1.What are the factors of 969?</h3>

105 <p>1, 3, 17, 19, 51, 57, 323, 969 are the factors of 969.</p>

106 <h3>2.Mention the prime factors of 969.</h3>

107 <p>The prime factors of 969 are 3 × 17 × 19.</p>

108 <h3>3.Is 969 a multiple of 17?</h3>

109 <h3>4.Mention the factor pairs of 969?</h3>

110 <p>(1, 969), (3, 323), (17, 57), and (19, 51) are the factor pairs of 969.</p>

111 <h3>5.What is the square of 969?</h3>

112 <h2>Important Glossaries for Factors of 969</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 969 are 1, 3, 17, 19, 51, 57, 323, and 969.</li>

114 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 3, 17, and 19 are prime factors of 969.</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 969 are (1, 969), (3, 323), etc.</li>

116 <li><strong>Prime factorization:</strong>Breaking down a number into its prime factors. For example, the prime factorization of 969 is 3 × 17 × 19.</li>

117 <li><strong>Multiple:</strong>A number that can be divided by another number without a remainder. For example, 969 is a multiple of 3, 17, and 19.</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>