Factors of 639

The numbers that divide 639 evenly are known as factors of 639. A factor of 639 is a number that divides the number without remainder. The factors of 639 are 1, 3, 7, 9, 21, 27, 63, 71, 213, and 639.

Negative factors of 639: -1, -3, -7, -9, -21, -27, -63, -71, -213, and -639.

Prime factors of 639: 3, 7, and 71.

Prime factorization of 639: 3² × 7 × 71.

The sum of factors of 639: 1 + 3 + 7 + 9 + 21 + 27 + 63 + 71 + 213 + 639 = 1054

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 639. Identifying the numbers which are multiplied to get the number 639 is the multiplication method.

Step 1: Multiply 639 by 1, 639 × 1 = 639.

Step 2: Check for other numbers that give 639 after multiplying

3 × 213 = 639

7 × 91 = 639

9 × 71 = 639

Therefore, the positive factor pairs of 639 are: (1, 639), (3, 213), (7, 91), (9, 71).

All these factor pairs result in 639. 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 in whole numbers as factors. Factors can be calculated by following a simple division method -

Step 1: Divide 639 by 1, 639 ÷ 1 = 639.

Step 2: Continue dividing 639 by the numbers until the remainder becomes 0.

639 ÷ 1 = 639

639 ÷ 3 = 213

639 ÷ 7 = 91

639 ÷ 9 = 71

Therefore, the factors of 639 are: 1, 3, 7, 9, 21, 27, 63, 71, 213, 639.

The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:

1. Using prime factorization
2. Using factor tree

Using Prime Factorization: In this process, prime factors of 639 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

639 ÷ 3 = 213

213 ÷ 3 = 71

71 ÷ 71 = 1

The prime factors of 639 are 3, 7, and 71.

The prime factorization of 639 is: 3² × 7 × 71.

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

Step 1: Firstly, 639 is divided by 3 to get 213.

Step 2: Now divide 213 by 3 to get 71.

Step 3: 71 is a prime number and cannot be divided anymore. So, the prime factorization of 639 is: 3^2 × 7 × 71.

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 639: (1, 639), (3, 213), (7, 91), and (9, 71).
• Negative factor pairs of 639: (-1, -639), (-3, -213), (-7, -91), and (-9, -71).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 639 are 1, 3, 7, 9, 21, 27, 63, 71, 213, and 639.

• Prime factors: The factors which are prime numbers. For example, 3, 7, and 71 are prime factors of 639.

• 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 639 are (1, 639), (3, 213), etc.

• Multiplication method: A method of finding factors by identifying pairs of numbers that multiply to give the original number.

• Division method: A method of finding factors by dividing the number by integers to see which divisions result in whole numbers.