Factors of 642

The numbers that divide 642 evenly are known as factors of 642. A factor of 642 is a number that divides the number without a remainder. The factors of 642 are 1, 2, 3, 6, 107, 214, 321, and 642.

Negative factors of 642: -1, -2, -3, -6, -107, -214, -321, and -642.

Prime factors of 642: 2, 3, and 107.

Prime factorization of 642: 2 × 3 × 107.

The sum of factors of 642: 1 + 2 + 3 + 6 + 107 + 214 + 321 + 642 = 1296

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 642. Identifying the numbers which are multiplied to get the number 642 is the multiplication method.

Step 1: Multiply 642 by 1, 642 × 1 = 642.

Step 2: Check for other numbers that give 642 after multiplying

2 × 321 = 642

3 × 214 = 642

6 × 107 = 642

Therefore, the positive factor pairs of 642 are: (1, 642), (2, 321), (3, 214), (6, 107). All these factor pairs result in 642. For every positive factor, there is a negative factor.

Dividing the given numbers with 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 642 by 1, 642 ÷ 1 = 642.

Step 2: Continue dividing 642 by the numbers until the remainder becomes 0.

642 ÷ 1 = 642

642 ÷ 2 = 321

642 ÷ 3 = 214

642 ÷ 6 = 107

Therefore, the factors of 642 are: 1, 2, 3, 6, 107, 214, 321, 642.

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

642 ÷ 2 = 321

321 ÷ 3 = 107

107 ÷ 107 = 1

The prime factors of 642 are 2, 3, and 107. The prime factorization of 642 is: 2 × 3 × 107.

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

Step 1: Firstly, 642 is divided by 2 to get 321.

Step 2: Now divide 321 by 3 to get 107.

Step 3: Here, 107 is a prime number and cannot be divided anymore. So, the prime factorization of 642 is: 2 × 3 × 107.

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 642: (1, 642), (2, 321), (3, 214), (6, 107).
• Negative factor pairs of 642: (-1, -642), (-2, -321), (-3, -214), (-6, -107).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 642 are 1, 2, 3, 6, 107, 214, 321, and 642.

• Prime factors: The factors which are prime numbers. For example, 2, 3, and 107 are prime factors of 642.

• 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 642 are (1, 642), (2, 321), etc.

• Multiplication method: A technique used to find factors by identifying pairs of numbers that multiply to the original number.

• Division method: A technique used to find factors by dividing the original number by other numbers until the remainder is zero.