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Last updated on May 26th, 2025

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Factors of 498

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Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 498, how they are used in real life, and the tips to learn them quickly.

Factors of 498 for Global Students
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What are the Factors of 498?

The numbers that divide 498 evenly are known as factors of 498. A factor of 498 is a number that divides the number without remainder. The factors of 498 are 1, 2, 3, 6, 83, 166, 249, and 498. Negative factors of 498: -1, -2, -3, -6, -83, -166, -249, and -498. Prime factors of 498: 2, 3, and 83. Prime factorization of 498: 2 × 3 × 83. The sum of factors of 498: 1 + 2 + 3 + 6 + 83 + 166 + 249 + 498 = 1008

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How to Find Factors of 498?

Factors can be found using different methods. Mentioned below are some commonly used methods: Finding factors using multiplication Finding factors using division method Prime factors and Prime factorization

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Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 498. Identifying the numbers which are multiplied to get the number 498 is the multiplication method. Step 1: Multiply 498 by 1, 498 × 1 = 498. Step 2: Check for other numbers that give 498 after multiplying     2 × 249 = 498     3 × 166 = 498     6 × 83 = 498 Therefore, the positive factor pairs of 498 are: (1, 498), (2, 249), (3, 166), and (6, 83). All these factor pairs result in 498. For every positive factor, there is a negative factor.

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Finding Factors Using Division Method

Dividing the given numbers with the whole numbers 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 498 by 1, 498 ÷ 1 = 498. Step 2: Continue dividing 498 by the numbers until the remainder becomes 0. 498 ÷ 1 = 498 498 ÷ 2 = 249 498 ÷ 3 = 166 498 ÷ 6 = 83 Therefore, the factors of 498 are: 1, 2, 3, 6, 83, 166, 249, 498.

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Prime Factors and Prime Factorization

The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods: Using prime factorization Using factor tree Using Prime Factorization: In this process, prime factors of 498 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 498 ÷ 2 = 249 249 ÷ 3 = 83 83 ÷ 83 = 1 The prime factors of 498 are 2, 3, and 83. The prime factorization of 498 is: 2 × 3 × 83.

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Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 498 is divided by 2 to get 249. Step 2: Now divide 249 by 3 to get 83. Step 3: Then divide 83 by 83 to get 1. Here, 83 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 498 is: 2 × 3 × 83. 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 498: (1, 498), (2, 249), (3, 166), and (6, 83). Negative factor pairs of 498: (-1, -498), (-2, -249), (-3, -166), and (-6, -83).

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Common Mistakes and How to Avoid Them in Factors of 498

Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.

Mistake 1

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Forgetting the number itself and 1 is a factor

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Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself. For example, in factors of 498, 1 and 498 are also factors.

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Factors of 498 Examples

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Problem 1

There are 6 teams and 498 participants in a competition. How will they divide the participants equally?

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They will get 83 participants each.

Explanation

To divide the participants equally, we need to divide the total participants with the number of teams. 498 ÷ 6 = 83

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Problem 2

A rectangular garden has a width of 83 meters and a total area of 498 square meters. Find the length.

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6 meters.

Explanation

To find the length of the garden, we use the formula,     Area = length × width     498 = length × 83     To find the value of length, we need to divide the area by the width.     498 ÷ 83 = length     Length = 6.

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Problem 3

There are 249 students and 498 books. How many books will each student get?

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Each student will get 2 books.

Explanation

To find the books each student will get, divide the total books with the number of students.     498 ÷ 249 = 2

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Problem 4

A company has 498 employees, and they want to form 83 committees. How many employees will be in each committee?

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There are 6 employees in each committee.

Explanation

Dividing the employees with the total committees, we will get the number of employees in each committee.     498 ÷ 83 = 6

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Problem 5

498 apples need to be packed into 3 crates. How many apples will go in each crate?

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Each of the crates has 166 apples.

Explanation

Divide total apples with crates.     498 ÷ 3 = 166

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FAQs on Factors of 498

1.What are the factors of 498?

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2.Mention the prime factors of 498.

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3.Is 498 a multiple of 3?

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4.Mention the factor pairs of 498?

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5.What is the square of 498?

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Important Glossaries for Factor of 498

Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 498 are 1, 2, 3, 6, 83, 166, 249, and 498. Prime factors: The factors which are prime numbers. For example, 2, 3, and 83 are prime factors of 498. 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 498 are (1, 498), (2, 249), etc. Prime factorization: The expression of a number as a product of its prime factors, for example, 2 × 3 × 83 for 498. Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the original number.

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Hiralee Lalitkumar Makwana

About the Author

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.

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Fun Fact

: She loves to read number jokes and games.

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