Factors of 166

The numbers that divide 166 evenly are known as factors of 166. A factor of 166 is a number that divides the number without remainder. The factors of 166 are 1, 2, 83, and 166.

Negative factors of 166: -1, -2, -83, and -166.

Prime factors of 166: 2 and 83.

Prime factorization of 166: 2 × 83.

The sum of factors of 166: 1 + 2 + 83 + 166 = 252

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 166. Identifying the numbers which are multiplied to get the number 166 is the multiplication method.

Step 1: Multiply 166 by 1, 166 × 1 = 166.

Step 2: Check for other numbers that give 166 after multiplying: 2 × 83 = 166

Therefore, the positive factor pairs of 166 are: (1, 166) and (2, 83). All these factor pairs result in 166. 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 166 by 1, 166 ÷ 1 = 166.

Step 2: Continue dividing 166 by the numbers until the remainder becomes 0.

166 ÷ 1 = 166

166 ÷ 2 = 83

Therefore, the factors of 166 are: 1, 2, 83, and 166.

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

166 ÷ 2 = 83

83 ÷ 83 = 1

The prime factors of 166 are 2 and 83. The prime factorization of 166 is: 2 × 83.

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

Step 1: Firstly, 166 is divided by 2 to get 83.

Step 2: 83 is a prime number and cannot be divided further. So, the prime factorization of 166 is: 2 × 83.

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 166: (1, 166) and (2, 83).
• Negative factor pairs of 166: (-1, -166) and (-2, -83).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 166 are 1, 2, 83, and 166.

• Prime factors: The factors which are prime numbers. For example, 2 and 83 are prime factors of 166.

• 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 166 are (1, 166) and (2, 83).

• Multiple: A number that can be divided by another number without leaving a remainder. For example, 166 is a multiple of 2.

• Prime factorization: The process of expressing a number as a product of its prime factors. For 166, it is 2 × 83.