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

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

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.

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.

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.

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).

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.