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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 1689, how they are used in real life, and tips to learn them quickly.</p>

4 <h2>What are the Factors of 1689?</h2>

5 <p>The<a>numbers</a>that divide 1689 evenly are known as<a>factors</a><a>of</a>1689.</p>

6 <p>A factor of 1689 is a number that divides the number without<a>remainder</a>.</p>

7 <p>The factors of 1689 are 1, 3, 563, and 1689.</p>

8 <p><strong>Negative factors of 1689:</strong>-1, -3, -563, and -1689.</p>

9 <p><strong>Prime factors of 1689:</strong>3 and 563.</p>

10 <p><strong>Prime factorization of 1689:</strong>3 × 563.</p>

11 <p>The<a>sum</a>of factors of 1689: 1 + 3 + 563 + 1689 = 2256</p>

12 <h2>How to Find Factors of 1689?</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 1689. Identifying the numbers which are multiplied to get the number 1689 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply 1689 by 1, 1689 × 1 = 1689.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give 1689 after multiplying 3 × 563 = 1689</p>

21 <p>Therefore, the positive factor pairs of 1689 are: (1, 1689) and (3, 563).</p>

22 <p>These factor pairs result in 1689.</p>

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

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

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

27 <p>Dividing the given numbers by<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>

26 <p>Dividing the given numbers by<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>

28 <p><strong>Step 1:</strong>Divide 1689 by 1, 1689 ÷ 1 = 1689.</p>

27 <p><strong>Step 1:</strong>Divide 1689 by 1, 1689 ÷ 1 = 1689.</p>

29 <p><strong>Step 2:</strong>Continue dividing 1689 by the numbers until the remainder becomes 0.</p>

28 <p><strong>Step 2:</strong>Continue dividing 1689 by the numbers until the remainder becomes 0.</p>

30 <p>1689 ÷ 1 = 1689</p>

29 <p>1689 ÷ 1 = 1689</p>

31 <p>1689 ÷ 3 = 563</p>

30 <p>1689 ÷ 3 = 563</p>

32 <p>Therefore, the factors of 1689 are: 1, 3, 563, and 1689.</p>

31 <p>Therefore, the factors of 1689 are: 1, 3, 563, and 1689.</p>

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

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

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

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

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

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

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

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

37 </ul><p>Using Prime Factorization: In this process, prime factors of 1689 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

36 </ul><p>Using Prime Factorization: In this process, prime factors of 1689 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

38 <p>1689 ÷ 3 = 563</p>

37 <p>1689 ÷ 3 = 563</p>

39 <p>563 ÷ 563 = 1</p>

38 <p>563 ÷ 563 = 1</p>

40 <p>The prime factors of 1689 are 3 and 563.</p>

39 <p>The prime factors of 1689 are 3 and 563.</p>

41 <p>The prime factorization of 1689 is: 3 × 563.</p>

40 <p>The prime factorization of 1689 is: 3 × 563.</p>

42 <h2>Factor Tree</h2>

41 <h2>Factor Tree</h2>

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

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

44 <p><strong>Step 1:</strong>Firstly, 1689 is divided by 3 to get 563.</p>

43 <p><strong>Step 1:</strong>Firstly, 1689 is divided by 3 to get 563.</p>

45 <p><strong>Step 2:</strong>Then divide 563 by 563 to get 1. Here, 3 and 563 are the prime numbers, and they cannot be divided anymore. So, the prime factorization of 1689 is: 3 × 563.</p>

44 <p><strong>Step 2:</strong>Then divide 563 by 563 to get 1. Here, 3 and 563 are the prime numbers, and they cannot be divided anymore. So, the prime factorization of 1689 is: 3 × 563.</p>

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

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

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

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

48 <p>Positive factor pairs of 1689: (1, 1689) and (3, 563).</p>

47 <p>Positive factor pairs of 1689: (1, 1689) and (3, 563).</p>

49 <p>Negative factor pairs of 1689: (-1, -1689) and (-3, -563).</p>

48 <p>Negative factor pairs of 1689: (-1, -1689) and (-3, -563).</p>

50 <h2>Common Mistakes and How to Avoid Them in Factors of 1689</h2>

49 <h2>Common Mistakes and How to Avoid Them in Factors of 1689</h2>

51 <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>

50 <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>

51 + <h2>Download Worksheets</h2>

52 <h3>Problem 1</h3>

53 <p>A theater has 3 rows with a total of 1689 seats. How many seats are in each row?</p>

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

55 <p>Each row has 563 seats.</p>

56 <h3>Explanation</h3>

57 <p>To find the number of seats in each row, we need to divide the total seats by the number of rows.</p>

58 <p>1689/3 = 563</p>

59 <p>Well explained 👍</p>

60 <h3>Problem 2</h3>

61 <p>A garden has a total of 1689 flowers arranged in 563 rows. How many flowers are in each row?</p>

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

63 <p>There are 3 flowers in each row.</p>

64 <h3>Explanation</h3>

65 <p>To find the flowers in each row, we use the formula,</p>

66 <p>Total flowers = number of rows × flowers per row</p>

67 <p>1689 = 563 × flowers per row</p>

68 <p>To find the value of flowers per row, shift 563 to the left side.</p>

69 <p>1689/563 = flowers per row</p>

70 <p>Flowers per row = 3.</p>

71 <p>Well explained 👍</p>

72 <h3>Problem 3</h3>

73 <p>There are 1689 candies distributed among 1 child. How many candies does the child get?</p>

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

75 <p>The child gets 1689 candies.</p>

76 <h3>Explanation</h3>

77 <p>To find the candies for the child, divide the total candies by the number of children.</p>

78 <p>1689/1 = 1689</p>

79 <p>Well explained 👍</p>

80 <h3>Problem 4</h3>

81 <p>A library has 1689 books, and there are 3 shelves. How many books are there on each shelf?</p>

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

83 <p>There are 563 books on each shelf.</p>

84 <h3>Explanation</h3>

85 <p>Dividing the books by the total shelves, we will get the number of books on each shelf.</p>

86 <p>1689/3 = 563</p>

87 <p>Well explained 👍</p>

88 <h3>Problem 5</h3>

89 <p>1689 apples are packed into 563 boxes. How many apples are in each box?</p>

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

91 <p>Each box has 3 apples.</p>

92 <h3>Explanation</h3>

93 <p>Divide the total apples by the number of boxes.</p>

94 <p>1689/563 = 3</p>

95 <p>Well explained 👍</p>

96 <h2>FAQs on Factors of 1689</h2>

97 <h3>1.What are the factors of 1689?</h3>

98 <p>1, 3, 563, and 1689 are the factors of 1689.</p>

99 <h3>2.Mention the prime factors of 1689.</h3>

100 <p>The prime factors of 1689 are 3 × 563.</p>

101 <h3>3.Is 1689 a multiple of 3?</h3>

102 <h3>4.Mention the factor pairs of 1689?</h3>

103 <p>(1, 1689) and (3, 563) are the factor pairs of 1689.</p>

104 <h3>5.What is the square of 1689?</h3>

105 <p>The<a>square</a>of 1689 is 2850721.</p>

106 <h2>Important Glossaries for Factors of 1689</h2>

107 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1689 are 1, 3, 563, and 1689. </li>

108 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 3 and 563 are prime factors of 1689. </li>

109 <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 1689 are (1, 1689) and (3, 563). </li>

110 <li><strong>Prime factorization:</strong>Expressing a number as the product of its prime factors. For example, the prime factorization of 1689 is 3 × 563. </li>

111 <li><strong>Divisibility:</strong>A number is divisible by another if the remainder is zero when divided. For example, 1689 is divisible by 3.</li>

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

113 <p>▶</p>

114 <h2>Hiralee Lalitkumar Makwana</h2>

115 <h3>About the Author</h3>

116 <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>

117 <h3>Fun Fact</h3>

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