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

4 <h2>What are the Factors of 488?</h2>

5 <p>The<a>numbers</a>that divide 488 evenly are known as<a>factors</a><a>of</a>488. A factor of 488 is a number that divides the number without<a>remainder</a>. The factors of 488 are 1, 2, 4, 8, 61, 122, 244, and 488. Negative factors of 488: -1, -2, -4, -8, -61, -122, -244, and -488. Prime factors of 488: 2 and 61. Prime factorization of 488: 2^3 × 61. The<a>sum</a>of factors of 488: 1 + 2 + 4 + 8 + 61 + 122 + 244 + 488 = 930</p>

6 <h2>How to Find Factors of 488?</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 the<a>division</a>method Prime factors and Prime factorization</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 488. Identifying the numbers which are multiplied to get the number 488 is the multiplication method. Step 1: Multiply 488 by 1, 488 × 1 = 488. Step 2: Check for other numbers that give 488 after multiplying 2 × 244 = 488 4 × 122 = 488 8 × 61 = 488 Therefore, the positive factor pairs of 488 are: (1, 488), (2, 244), (4, 122), and (8, 61). All these factor pairs result in 488. 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 which result as whole numbers as factors. Factors can be calculated by following a simple division method - Step 1: Divide 488 by 1, 488 ÷ 1 = 488. Step 2: Continue dividing 488 by the numbers until the remainder becomes 0. 488 ÷ 1 = 488 488 ÷ 2 = 244 488 ÷ 4 = 122 488 ÷ 8 = 61 Therefore, the factors of 488 are: 1, 2, 4, 8, 61, 122, 244, 488.</p>

12 <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 a simple division method - Step 1: Divide 488 by 1, 488 ÷ 1 = 488. Step 2: Continue dividing 488 by the numbers until the remainder becomes 0. 488 ÷ 1 = 488 488 ÷ 2 = 244 488 ÷ 4 = 122 488 ÷ 8 = 61 Therefore, the factors of 488 are: 1, 2, 4, 8, 61, 122, 244, 488.</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<a>prime factors</a>using the following methods: Using prime factorization Using<a>factor tree</a>Using Prime Factorization: In this process, prime factors of 488 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 488 ÷ 2 = 244 244 ÷ 2 = 122 122 ÷ 2 = 61 61 ÷ 61 = 1 The prime factors of 488 are 2 and 61. The prime factorization of 488 is: 2^3 × 61.</p>

14 <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: Using prime factorization Using<a>factor tree</a>Using Prime Factorization: In this process, prime factors of 488 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 488 ÷ 2 = 244 244 ÷ 2 = 122 122 ÷ 2 = 61 61 ÷ 61 = 1 The prime factors of 488 are 2 and 61. The prime factorization of 488 is: 2^3 × 61.</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, 488 is divided by 2 to get 244. Step 2: Now divide 244 by 2 to get 122. Step 3: Then divide 122 by 2 to get 61. Here, 61 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 488 is: 2^3 × 61. 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 488: (1, 488), (2, 244), (4, 122), and (8, 61). Negative factor pairs of 488: (-1, -488), (-2, -244), (-4, -122), and (-8, -61).</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, 488 is divided by 2 to get 244. Step 2: Now divide 244 by 2 to get 122. Step 3: Then divide 122 by 2 to get 61. Here, 61 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 488 is: 2^3 × 61. 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 488: (1, 488), (2, 244), (4, 122), and (8, 61). Negative factor pairs of 488: (-1, -488), (-2, -244), (-4, -122), and (-8, -61).</p>

18 <h2>Common Mistakes and How to Avoid Them in Factors of 488</h2>

17 <h2>Common Mistakes and How to Avoid Them in Factors of 488</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>There are 4 friends and 488 marbles. How will they divide them equally?</p>

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

23 <p>They will get 122 marbles each.</p>

24 <h3>Explanation</h3>

25 <p>To divide the marbles equally, we need to divide the total marbles by the number of friends. 488/4 = 122</p>

26 <p>Well explained 👍</p>

27 <h3>Problem 2</h3>

28 <p>A field is rectangular, the length of the field is 8 meters, and the total area is 488 square meters. Find the width.</p>

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

30 <p>61 meters.</p>

31 <h3>Explanation</h3>

32 <p>To find the width of the field, we use the formula, Area = length × width 488 = 8 × width To find the value of width, we need to shift 8 to the left side. 488/8 = width Width = 61.</p>

33 <p>Well explained 👍</p>

34 <h3>Problem 3</h3>

35 <p>There are 122 bags and 488 candies. How many candies will be in each bag?</p>

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

37 <p>Each bag will have 4 candies.</p>

38 <h3>Explanation</h3>

39 <p>To find the candies in each bag, divide the total candies by the bags. 488/122 = 4</p>

40 <p>Well explained 👍</p>

41 <h3>Problem 4</h3>

42 <p>In a class, there are 488 students and 8 groups. How many students are there in each group?</p>

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

44 <p>There are 61 students in each group.</p>

45 <h3>Explanation</h3>

46 <p>Dividing the students by the total groups, we will get the number of students in each group. 488/8 = 61</p>

47 <p>Well explained 👍</p>

48 <h3>Problem 5</h3>

49 <p>488 books need to be arranged in 4 shelves. How many books will go on each shelf?</p>

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

51 <p>Each of the shelves has 122 books.</p>

52 <h3>Explanation</h3>

53 <p>Divide total books by shelves. 488/4 = 122</p>

54 <p>Well explained 👍</p>

55 <h2>FAQs on Factors of 488</h2>

56 <h3>1.What are the factors of 488?</h3>

57 <p>1, 2, 4, 8, 61, 122, 244, 488 are the factors of 488.</p>

58 <h3>2.Mention the prime factors of 488.</h3>

59 <p>The prime factors of 488 are 2^3 × 61.</p>

60 <h3>3.Is 488 a multiple of 4?</h3>

61 <h3>4.Mention the factor pairs of 488?</h3>

62 <p>(1, 488), (2, 244), (4, 122), and (8, 61) are the factor pairs of 488.</p>

63 <h3>5.What is the square of 488?</h3>

64 <h2>Important Glossaries for Factors of 488</h2>

65 <p>Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 488 are 1, 2, 4, 8, 61, 122, 244, and 488. Prime factors: The factors which are prime numbers. For example, 2 and 61 are prime factors of 488. 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 488 are (1, 488), (2, 244), etc. Prime factorization: The expression of a number as the product of its prime factors. The prime factorization of 488 is 2^3 × 61. Multiplication method: A technique to find factors by identifying pairs that multiply to the number.</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>