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

4 <h2>What are the Factors of 69?</h2>

5 <p>The<a>numbers</a>that divide 69 evenly are known as<a>factors</a><a>of</a>69. A factor of 69 is a number that divides the number without a<a>remainder</a>. The factors of 69 are 1, 3, 23, and 69. Negative factors of 69: -1, -3, -23, and -69. Prime factors of 69: 3 and 23. Prime factorization of 69: 3 × 23. The<a>sum</a>of factors of 69: 1 + 3 + 23 + 69 = 96</p>

6 <h2>How to Find Factors of 69?</h2>

7 <p>Factors can be found using different methods. Mentioned below are some commonly used methods: Finding factors using<a>multiplication</a>Finding factors using<a>division</a>method Prime factors and<a>prime factorization</a></p>

8 <h2>Finding Factors Using Multiplication</h2>

9 <p>To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 69. Identifying the numbers which are multiplied to get the number 69 is the multiplication method. Step 1: Multiply 69 by 1, 69 × 1 = 69. Step 2: Check for other numbers that give 69 after multiplying 3 × 23 = 69 Therefore, the positive factor pairs of 69 are: (1, 69) and (3, 23). All these factor pairs result in 69. For every positive factor, there is a negative factor.</p>

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12 <h2>Finding Factors Using Division Method</h2>

11 <h2>Finding Factors Using Division Method</h2>

13 <p>Dividing the given numbers with the<a>whole numbers</a>until the remainder becomes zero and listing out the numbers that result in whole numbers as factors. Factors can be calculated by following a simple division method - Step 1: Divide 69 by 1, 69 ÷ 1 = 69. Step 2: Continue dividing 69 by the numbers until the remainder becomes 0. 69 ÷ 1 = 69 69 ÷ 3 = 23 Therefore, the factors of 69 are: 1, 3, 23, 69.</p>

12 <p>Dividing the given numbers with the<a>whole numbers</a>until the remainder becomes zero and listing out the numbers that result in whole numbers as factors. Factors can be calculated by following a simple division method - Step 1: Divide 69 by 1, 69 ÷ 1 = 69. Step 2: Continue dividing 69 by the numbers until the remainder becomes 0. 69 ÷ 1 = 69 69 ÷ 3 = 23 Therefore, the factors of 69 are: 1, 3, 23, 69.</p>

14 <h2>Prime Factors and Prime Factorization</h2>

13 <h2>Prime Factors and Prime Factorization</h2>

15 <p>The factors can be found by dividing it with<a>prime numbers</a>. We can find the prime factors using the following methods: Using prime factorization Using<a>factor tree</a>Using Prime Factorization: In this process, prime factors of 69 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 69 ÷ 3 = 23 23 ÷ 23 = 1 The prime factors of 69 are 3 and 23. The prime factorization of 69 is: 3 × 23.</p>

14 <p>The factors can be found by dividing it with<a>prime numbers</a>. We can find the prime factors using the following methods: Using prime factorization Using<a>factor tree</a>Using Prime Factorization: In this process, prime factors of 69 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 69 ÷ 3 = 23 23 ÷ 23 = 1 The prime factors of 69 are 3 and 23. The prime factorization of 69 is: 3 × 23.</p>

16 <h2>Factor Tree</h2>

15 <h2>Factor Tree</h2>

17 <p>The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 69 is divided by 3 to get 23. Step 2: Now divide 23 by 23 to get 1. Here, 23 is a prime number that cannot be divided further. So, the prime factorization of 69 is: 3 × 23. Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs. Positive factor pairs of 69: (1, 69) and (3, 23). Negative factor pairs of 69: (-1, -69) and (-3, -23).</p>

16 <p>The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 69 is divided by 3 to get 23. Step 2: Now divide 23 by 23 to get 1. Here, 23 is a prime number that cannot be divided further. So, the prime factorization of 69 is: 3 × 23. Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs. Positive factor pairs of 69: (1, 69) and (3, 23). Negative factor pairs of 69: (-1, -69) and (-3, -23).</p>

18 <h2>Common Mistakes and How to Avoid Them in Factors of 69</h2>

17 <h2>Common Mistakes and How to Avoid Them in Factors of 69</h2>

19 <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>

18 <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>

19 + <h2>Download Worksheets</h2>

20 <h3>Problem 1</h3>

21 <p>A class of 69 students needs to be divided into 3 equal groups. How many students will be in each group?</p>

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

23 <p>There will be 23 students in each group.</p>

24 <h3>Explanation</h3>

25 <p>To divide the students equally, we need to divide the total students by the number of groups. 69/3 = 23</p>

26 <p>Well explained 👍</p>

27 <h3>Problem 2</h3>

28 <p>A garden is rectangular, with a length of 3 meters and a total area of 69 square meters. Find the width.</p>

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

30 <p>23 meters.</p>

31 <h3>Explanation</h3>

32 <p>To find the width of the garden, we use the formula, Area = length × width 69 = 3 × width To find the value of width, we need to shift 3 to the left side. 69/3 = width Width = 23.</p>

33 <p>Well explained 👍</p>

34 <h3>Problem 3</h3>

35 <p>There are 69 apples to be stored in 23 baskets. How many apples will be in each basket?</p>

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

37 <p>Each basket will have 3 apples.</p>

38 <h3>Explanation</h3>

39 <p>To find the apples in each basket, divide the total apples by the baskets. 69/23 = 3</p>

40 <p>Well explained 👍</p>

41 <h3>Problem 4</h3>

42 <p>A work project requires 69 hours and is split among 23 workers. How many hours will each worker contribute?</p>

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

44 <p>Each worker will contribute 3 hours.</p>

45 <h3>Explanation</h3>

46 <p>Dividing the total hours by the total workers, we will get the number of hours each worker contributes. 69/23 = 3</p>

47 <p>Well explained 👍</p>

48 <h3>Problem 5</h3>

49 <p>69 chairs need to be arranged in 3 rows. How many chairs will go in each row?</p>

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

51 <p>Each row will have 23 chairs.</p>

52 <h3>Explanation</h3>

53 <p>Divide the total chairs by the number of rows. 69/3 = 23</p>

54 <p>Well explained 👍</p>

55 <h2>FAQs on Factors of 69</h2>

56 <h3>1.What are the factors of 69?</h3>

57 <p>1, 3, 23, and 69 are the factors of 69.</p>

58 <h3>2.Mention the prime factors of 69.</h3>

59 <p>The prime factors of 69 are 3 × 23.</p>

60 <h3>3.Is 69 a multiple of 3?</h3>

61 <h3>4.Mention the factor pairs of 69?</h3>

62 <p>(1, 69) and (3, 23) are the factor pairs of 69.</p>

63 <h3>5.What is the square of 69?</h3>

64 <h2>Important Glossaries for Factors of 69</h2>

65 <p>Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 69 are 1, 3, 23, and 69. Prime factors: The factors which are prime numbers. For example, 3 and 23 are prime factors of 69. Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 69 are (1, 69) and (3, 23). Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 69 is 3 × 23. Multiple: A number that can be divided by another number without a remainder. For example, 69 is a multiple of 3.</p>

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

67 <p>▶</p>

68 <h2>Hiralee Lalitkumar Makwana</h2>

69 <h3>About the Author</h3>

70 <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>

71 <h3>Fun Fact</h3>

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