Factors of 636

The numbers that divide 636 evenly are known as factors of 636. A factor of 636 is a number that divides the number without a remainder. The factors of 636 are 1, 2, 3, 4, 6, 9, 12, 18, 53, 106, 159, 212, 318, and 636.

Negative factors of 636: -1, -2, -3, -4, -6, -9, -12, -18, -53, -106, -159, -212, -318, and -636.

Prime factors of 636: 2, 3, and 53.

Prime factorization of 636: 2² × 3 × 53.

The sum of factors of 636: 1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 + 53 + 106 + 159 + 212 + 318 + 636 = 1539

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 636. Identifying the numbers which are multiplied to get the number 636 is the multiplication method.

Step 1: Multiply 636 by 1, 636 × 1 = 636.

Step 2: Check for other numbers that give 636 after multiplying  

2 × 318 = 636  

3 × 212 = 636  

4 × 159 = 636  

6 × 106 = 636  

9 × 53 = 636

Therefore, the positive factor pairs of 636 are: (1, 636), (2, 318), (3, 212), (4, 159), (6, 106), and (9, 53). All these factor pairs result in 636. 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 636 by 1, 636 ÷ 1 = 636.

Step 2: Continue dividing 636 by the numbers until the remainder becomes 0.

636 ÷ 1 = 636

636 ÷ 2 = 318

636 ÷ 3 = 212

636 ÷ 4 = 159

636 ÷ 6 = 106

636 ÷ 9 = 53

Therefore, the factors of 636 are: 1, 2, 3, 4, 6, 9, 12, 18, 53, 106, 159, 212, 318, and 636.

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

636 ÷ 2 = 318

318 ÷ 2 = 159

159 ÷ 3 = 53

53 ÷ 53 = 1

The prime factors of 636 are 2, 3, and 53.

The prime factorization of 636 is: 2² × 3 × 53.

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

Step 1: Firstly, 636 is divided by 2 to get 318.

Step 2: Now divide 318 by 2 to get 159.

Step 3: Then divide 159 by 3 to get 53. Here, 53 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 636 is: 2² × 3 × 53.

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 636: (1, 636), (2, 318), (3, 212), (4, 159), (6, 106), and (9, 53).
• Negative factor pairs of 636: (-1, -636), (-2, -318), (-3, -212), (-4, -159), (-6, -106), and (-9, -53).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 636 are 1, 2, 3, 4, 6, 9, 12, 18, 53, 106, 159, 212, 318, and 636.

• Prime factors: The factors which are prime numbers. For example, 2, 3, and 53 are prime factors of 636.

• 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 636 are (1, 636), (2, 318), etc.

• Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 636 is 2² × 3 × 53.

• Multiplication method: A method for finding factors by identifying the pairs of numbers that multiply to give the target number. For example, the multiplication method for 636 includes pairs like (2, 318) and (3, 212).