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2 <p>Last updated on<strong>August 5, 2025</strong></p>

3 <p>The numbers that have only two factors, which are 1 and themselves, are called prime numbers. For encryption, computer algorithms, and barcode generation, prime numbers are used. In this topic, we will be discussing whether 488 is a prime number or not.</p>

4 <h2>Is 488 a Prime Number?</h2>

5 <p>There are two<a>types of numbers</a>, mostly -</p>

6 <p>Prime numbers and<a>composite numbers</a>, depending on the number of<a>factors</a>.</p>

7 <p>A<a>prime number</a>is a<a>natural number</a>that is divisible only by 1 and itself.</p>

8 <p>For example, 3 is a prime number because it is divisible by 1 and itself.</p>

9 <p>A composite number is a positive number that is divisible by more than two numbers.</p>

10 <p>For example, 6 is divisible by 1, 2, 3, and 6, making it a composite number.</p>

11 <p>Prime numbers follow a few properties like:</p>

12 <ul><li>Prime numbers are positive numbers always<a>greater than</a>1. </li>

13 <li>2 is the only even prime number. </li>

14 <li>They have only two factors: 1 and the number itself. </li>

15 <li>Any two distinct prime numbers are<a>co-prime numbers</a>because they have only one common factor that is 1.</li>

16 </ul><p>As 488 has more than two factors, it is not a prime number.</p>

17 <h2>Why is 488 Not a Prime Number?</h2>

18 <p>The characteristic of a prime number is that it has only two divisors: 1 and itself.</p>

19 <p>Since 488 has more than two factors, it is not a prime number.</p>

20 <p>A few methods are used to distinguish between prime and composite numbers.</p>

21 <p>These methods include: </p>

22 <ul><li>Counting Divisors Method </li>

23 <li>Divisibility Test </li>

24 <li>Prime Number Chart </li>

25 <li>Prime Factorization </li>

26 </ul><h3>Using the Counting Divisors Method</h3>

27 <p>The method in which we count the number of divisors to categorize the numbers as prime or composite is called the counting divisors method.</p>

28 <p>Based on the count of the divisors, we categorize numbers as prime or composite.</p>

29 <ul><li>If there is a total count of only 2 divisors, then the number would be prime. </li>

30 <li>If the count is more than 2, then the number is composite. Let’s check whether 488 is prime or composite. </li>

31 </ul><p><strong>Step 1:</strong>All numbers are divisible by 1 and themselves.</p>

32 <p><strong>Step 2:</strong>Divide 488 by 2. It is divisible by 2, so 2 is a factor of 488.</p>

33 <p><strong>Step 3:</strong>Divide 488 by 3. It is not divisible by 3, so 3 is not a factor of 488.</p>

34 <p><strong>Step 4:</strong>You can simplify checking divisors up to 488 by finding the root value. We then need to only check divisors up to the root value.</p>

35 <p><strong>Step 5:</strong>When we divide 488 by 2, 4, 8, etc., it is divisible by 2, 4, and 8.</p>

36 <p>Since 488 has more than 2 divisors, it is a composite number.</p>

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39 <h3>Using the Divisibility Test Method</h3>

38 <h3>Using the Divisibility Test Method</h3>

40 <p>We use a<a>set</a><a>of rules</a>to check whether a number is divisible by another number completely or not. It is called the Divisibility Test Method. </p>

39 <p>We use a<a>set</a><a>of rules</a>to check whether a number is divisible by another number completely or not. It is called the Divisibility Test Method. </p>

41 <p><strong>Divisibility by 2:</strong>The number in the ones'<a>place value</a>is 8. Since 8 is an<a>even number</a>, 488 is divisible by 2.</p>

40 <p><strong>Divisibility by 2:</strong>The number in the ones'<a>place value</a>is 8. Since 8 is an<a>even number</a>, 488 is divisible by 2.</p>

42 <p><strong>Divisibility by 3:</strong>The<a>sum</a>of the digits in the number 488 is 20. Since 20 is not divisible by 3, 488 is also not divisible by 3.</p>

41 <p><strong>Divisibility by 3:</strong>The<a>sum</a>of the digits in the number 488 is 20. Since 20 is not divisible by 3, 488 is also not divisible by 3.</p>

43 <p><strong>Divisibility by 5:</strong>The unit’s place digit is 8. Therefore, 488 is not divisible by 5.</p>

42 <p><strong>Divisibility by 5:</strong>The unit’s place digit is 8. Therefore, 488 is not divisible by 5.</p>

44 <p><strong>Divisibility by 7:</strong>The last digit in 488 is 8. To check divisibility by 7, double the last digit (8 × 2 = 16). Then, subtract it from the rest of the number (48 - 16 = 32). Since 32 is not divisible by 7, 488 is also not divisible by 7.</p>

43 <p><strong>Divisibility by 7:</strong>The last digit in 488 is 8. To check divisibility by 7, double the last digit (8 × 2 = 16). Then, subtract it from the rest of the number (48 - 16 = 32). Since 32 is not divisible by 7, 488 is also not divisible by 7.</p>

45 <p><strong>Divisibility by 11:</strong>In 488, the sum of the digits in odd positions is 16, and the sum of the digits in even positions is 8. This would<a>mean</a>that 488 is not divisible by 11.</p>

44 <p><strong>Divisibility by 11:</strong>In 488, the sum of the digits in odd positions is 16, and the sum of the digits in even positions is 8. This would<a>mean</a>that 488 is not divisible by 11.</p>

46 <p>Since 488 is divisible by factors such as 2, among others, it has more than two factors. Therefore, it is a composite number.</p>

45 <p>Since 488 is divisible by factors such as 2, among others, it has more than two factors. Therefore, it is a composite number.</p>

47 <h3>Using Prime Number Chart</h3>

46 <h3>Using Prime Number Chart</h3>

48 <p>The prime number chart is a tool created by using a method called “The Sieve of Eratosthenes.”</p>

47 <p>The prime number chart is a tool created by using a method called “The Sieve of Eratosthenes.”</p>

49 <p>In this method, we follow these steps:</p>

48 <p>In this method, we follow these steps:</p>

50 <p><strong>Step 1:</strong>Write numbers in a<a>sequence</a>, for example from 1 to 1000.</p>

49 <p><strong>Step 1:</strong>Write numbers in a<a>sequence</a>, for example from 1 to 1000.</p>

51 <p><strong>Step 2:</strong>Leave 1 without coloring or crossing, as it is neither prime nor composite.</p>

50 <p><strong>Step 2:</strong>Leave 1 without coloring or crossing, as it is neither prime nor composite.</p>

52 <p><strong>Step 3:</strong>Mark 2 because it is a prime number and cross out all the<a>multiples</a>of 2.</p>

51 <p><strong>Step 3:</strong>Mark 2 because it is a prime number and cross out all the<a>multiples</a>of 2.</p>

53 <p><strong>Step 4:</strong>Mark 3 because it is a prime number and cross out all the multiples of 3.</p>

52 <p><strong>Step 4:</strong>Mark 3 because it is a prime number and cross out all the multiples of 3.</p>

54 <p><strong>Step 5:</strong>Repeat this process until you reach the table consisting of marked and crossed boxes, except 1.</p>

53 <p><strong>Step 5:</strong>Repeat this process until you reach the table consisting of marked and crossed boxes, except 1.</p>

55 <p>Through this process, we will have a list of prime numbers.</p>

54 <p>Through this process, we will have a list of prime numbers.</p>

56 <p>488 is not present in the list of prime numbers, so it is a composite number.</p>

55 <p>488 is not present in the list of prime numbers, so it is a composite number.</p>

57 <h3>Using the Prime Factorization Method</h3>

56 <h3>Using the Prime Factorization Method</h3>

58 <p>Prime factorization is a process of breaking down a number into<a>prime factors</a>. Then multiply those factors to obtain the original number.</p>

57 <p>Prime factorization is a process of breaking down a number into<a>prime factors</a>. Then multiply those factors to obtain the original number.</p>

59 <p><strong>Step 1:</strong>We can write 488 as 2 × 244. Step 2: In 2 × 244, 244 is a composite number. Further, break the 244 into 2 × 122.</p>

58 <p><strong>Step 1:</strong>We can write 488 as 2 × 244. Step 2: In 2 × 244, 244 is a composite number. Further, break the 244 into 2 × 122.</p>

60 <p><strong>Step 3:</strong>Break 122 into 2 × 61.</p>

59 <p><strong>Step 3:</strong>Break 122 into 2 × 61.</p>

61 <p><strong>Step 4:</strong>Now we get the<a>product</a>consisting of only prime numbers. Hence, the prime factorization of 488 is 2 × 2 × 2 × 61.</p>

60 <p><strong>Step 4:</strong>Now we get the<a>product</a>consisting of only prime numbers. Hence, the prime factorization of 488 is 2 × 2 × 2 × 61.</p>

62 <h2>Common Mistakes to Avoid When Determining if 488 is Not a Prime Number</h2>

61 <h2>Common Mistakes to Avoid When Determining if 488 is Not a Prime Number</h2>

63 <p>Children might have some misconceptions about prime numbers when they are learning about them. Here are some mistakes that might be made by children.</p>

62 <p>Children might have some misconceptions about prime numbers when they are learning about them. Here are some mistakes that might be made by children.</p>

64 <h2>FAQ on is 488 a Prime Number?</h2>

63 <h2>FAQ on is 488 a Prime Number?</h2>

65 <h3>1.Is 488 a perfect square?</h3>

64 <h3>1.Is 488 a perfect square?</h3>

66 <h3>2.What is the sum of the divisors of 488?</h3>

65 <h3>2.What is the sum of the divisors of 488?</h3>

67 <p>The sum of the divisors of 488 is 992.</p>

66 <p>The sum of the divisors of 488 is 992.</p>

68 <h3>3.What are the factors of 488?</h3>

67 <h3>3.What are the factors of 488?</h3>

69 <p>488 is divisible by 1, 2, 4, 8, 61, 122, 244, and 488, making these numbers the factors.</p>

68 <p>488 is divisible by 1, 2, 4, 8, 61, 122, 244, and 488, making these numbers the factors.</p>

70 <h3>4.What are the closest prime numbers to 488?</h3>

69 <h3>4.What are the closest prime numbers to 488?</h3>

71 <p>487 and 491 are the closest prime numbers to 488.</p>

70 <p>487 and 491 are the closest prime numbers to 488.</p>

72 <h3>5.What is the prime factorization of 488?</h3>

71 <h3>5.What is the prime factorization of 488?</h3>

73 <p>The prime factorization of 488 is 2 × 2 × 2 × 61.</p>

72 <p>The prime factorization of 488 is 2 × 2 × 2 × 61.</p>

74 <h2>Important Glossaries for "Is 488 a Prime Number"</h2>

73 <h2>Important Glossaries for "Is 488 a Prime Number"</h2>

75 <ul><li><strong>Composite numbers:</strong>Natural numbers greater than 1 that are divisible by more than 2 numbers are called composite numbers. For example, 12 is a composite number because 12 is divisible by 1, 2, 3, 4, 6, and 12. </li>

74 <ul><li><strong>Composite numbers:</strong>Natural numbers greater than 1 that are divisible by more than 2 numbers are called composite numbers. For example, 12 is a composite number because 12 is divisible by 1, 2, 3, 4, 6, and 12. </li>

76 <li><strong>Prime numbers:</strong>Numbers that have only two factors, 1 and themselves. For example, 7 is a prime number. </li>

75 <li><strong>Prime numbers:</strong>Numbers that have only two factors, 1 and themselves. For example, 7 is a prime number. </li>

77 <li><strong>Factors:</strong>The numbers that divide the number exactly without leaving a remainder are called factors. For example, the factors of 4 are 1, 2, and 4 because they divide 4 completely. </li>

76 <li><strong>Factors:</strong>The numbers that divide the number exactly without leaving a remainder are called factors. For example, the factors of 4 are 1, 2, and 4 because they divide 4 completely. </li>

78 <li><strong>Prime factorization:</strong>The process of expressing a number as the product of its prime factors. </li>

77 <li><strong>Prime factorization:</strong>The process of expressing a number as the product of its prime factors. </li>

79 <li><strong>Divisibility rules:</strong>A set of rules to determine if one number is divisible by another without performing full division. </li>

78 <li><strong>Divisibility rules:</strong>A set of rules to determine if one number is divisible by another without performing full division. </li>

80 </ul><p>What Are Prime Numbers? 🔢✨ | Easy Tricks & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</p>

79 </ul><p>What Are Prime Numbers? 🔢✨ | Easy Tricks & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</p>

81 <p>▶</p>

80 <p>▶</p>

82 <h2>Hiralee Lalitkumar Makwana</h2>

81 <h2>Hiralee Lalitkumar Makwana</h2>

83 <h3>About the Author</h3>

82 <h3>About the Author</h3>

84 <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>

83 <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>

85 <h3>Fun Fact</h3>

84 <h3>Fun Fact</h3>

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

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