Factors of 164

The numbers that divide 164 evenly are known as factors of 164. A factor of 164 is a number that divides the number without a remainder. The factors of 164 are 1, 2, 4, 41, 82, and 164.

Negative factors of 164: -1, -2, -4, -41, -82, and -164.

Prime factors of 164: 2 and 41.

Prime factorization of 164: 2² × 41.

The sum of factors of 164: 1 + 2 + 4 + 41 + 82 + 164 = 294

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 164. Identifying the numbers which are multiplied to get the number 164 is the multiplication method.

Step 1: Multiply 164 by 1, 164 × 1 = 164.

Step 2: Check for other numbers that give 164 after multiplying     

2 × 82 = 164    

 4 × 41 = 164

Therefore, the positive factor pairs of 164 are: (1, 164), (2, 82), (4, 41). All these factor pairs result in 164. 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 the simple division method -

Step 1: Divide 164 by 1, 164 ÷ 1 = 164.

Step 2: Continue dividing 164 by the numbers until the remainder becomes 0.

164 ÷ 1 = 164

164 ÷ 2 = 82

164 ÷ 4 = 41

Therefore, the factors of 164 are: 1, 2, 4, 41, 82, 164.

The factors can be found by dividing them 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 164 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

164 ÷ 2 = 82

82 ÷ 2 = 41

41 ÷ 41 = 1

The prime factors of 164 are 2 and 41. The prime factorization of 164 is: 2² × 41.

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

Step 1: Firstly, 164 is divided by 2 to get 82.

Step 2: Now divide 82 by 2 to get 41.

 Step 3: Here, 41 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 164 is: 2² × 41.

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 164: (1, 164), (2, 82), (4, 41).
• Negative factor pairs of 164: (-1, -164), (-2, -82), (-4, -41).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 164 are 1, 2, 4, 41, 82, and 164.

• Prime factors: The factors which are prime numbers. For example, 2 and 41 are prime factors of 164.

• 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 164 are (1, 164), (2, 82), and (4, 41).

• Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 164 is 2² × 41.

• Multiple: A number that can be divided by another number without a remainder. For example, 164 is a multiple of 4.