Factors of 628

The numbers that divide 628 evenly are known as factors of 628. A factor of 628 is a number that divides the number without remainder. The factors of 628 are 1, 2, 4, 157, 314, and 628.

Negative factors of 628: -1, -2, -4, -157, -314, and -628.

Prime factors of 628: 2 and 157.

Prime factorization of 628: 2² × 157.

The sum of factors of 628: 1 + 2 + 4 + 157 + 314 + 628 = 1106

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

1. Finding factors using multiplication
2. Finding factors using the 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 628. Identifying the numbers which are multiplied to get the number 628 is the multiplication method.

Step 1: Multiply 628 by 1, 628 × 1 = 628.

Step 2: Check for other numbers that give 628 after multiplying

2 × 314 = 628

4 × 157 = 628

Therefore, the positive factor pairs of 628 are: (1, 628), (2, 314), (4, 157). All these factor pairs result in 628. 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 628 by 1, 628 ÷ 1 = 628.

Step 2: Continue dividing 628 by the numbers until the remainder becomes 0.

628 ÷ 1 = 628

628 ÷ 2 = 314

628 ÷ 4 = 157

Therefore, the factors of 628 are: 1, 2, 4, 157, 314, and 628.

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 628 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

628 ÷ 2 = 314

314 ÷ 2 = 157

157 ÷ 157 = 1

The prime factors of 628 are 2 and 157. The prime factorization of 628 is: 2² × 157.

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

Step 1: Firstly, 628 is divided by 2 to get 314.

Step 2: Now divide 314 by 2 to get 157.

Step 3: Here, 157 is a prime number and cannot be divided further. So, the prime factorization of 628 is: 2² × 157.

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 628: (1, 628), (2, 314), and (4, 157).
• Negative factor pairs of 628: (-1, -628), (-2, -314), and (-4, -157).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 628 are 1, 2, 4, 157, 314, and 628.

• Prime factors: The factors which are prime numbers. For example, 2 and 157 are prime factors of 628.

• 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 628 are (1, 628), (2, 314), etc.

• Prime factorization: Expressing a number as the product of its prime factors. For example, 2² × 157 is the prime factorization of 628.

• Multiple: A number that can be divided by another number without leaving a remainder. For example, 628 is a multiple of 4.