Factors of 658

The numbers that divide 658 evenly are known as factors of 658. A factor of 658 is a number that divides the number without remainder. The factors of 658 are 1, 2, 329, and 658.

Negative factors of 658: -1, -2, -329, and -658.

Prime factors of 658: 2 and 329.

Prime factorization of 658: 2 × 329.

The sum of factors of 658: 1 + 2 + 329 + 658 = 990

Factors can be found using different methods. Mentioned below are some commonly used methods:

1. Finding factors using multiplication
2. Finding factors using division method
3. Prime factors and Prime factorization

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 658. Identifying the numbers which are multiplied to get the number 658 is the multiplication method.

Step 1: Multiply 658 by 1, 658 × 1 = 658.

Step 2: Check for other numbers that give 658 after multiplying 2 × 329 = 658

Therefore, the positive factor pairs of 658 are: (1, 658) and (2, 329). All these factor pairs result in 658. 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 658 by 1, 658 ÷ 1 = 658.

Step 2: Continue dividing 658 by the numbers until the remainder becomes 0.

658 ÷ 1 = 658

658 ÷ 2 = 329

Therefore, the factors of 658 are: 1, 2, 329, and 658.

The factors can be found by dividing it with a prime number. 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 658 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

658 ÷ 2 = 329

329 is a prime number.

The prime factors of 658 are 2 and 329.

The prime factorization of 658 is: 2 × 329.

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -

Step 1: Firstly, 658 is divided by 2 to get 329. Step 2: 329 is a prime number and cannot be divided further. Therefore, the prime factorization of 658 is: 2 × 329.

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 658: (1, 658) and (2, 329).
• Negative factor pairs of 658: (-1, -658) and (-2, -329).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 658 are 1, 2, 329, and 658.

• Prime factors: The factors which are prime numbers. For example, 2 and 329 are prime factors of 658.

• 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 658 are (1, 658) and (2, 329).

• Prime factorization: The expression of a number as the product of its prime factors. For instance, 658 is expressed as 2 × 329.

• Multiple: A multiple of a number is the product of that number and an integer. For example, 658 is a multiple of 2.