# Factors of 166

Factors of 166 are 1, 2, 83, and 166

#### How to find factors of a number

 1.   Find factors of 166 using Division Method 2.   Find factors of 166 using Prime Factorization 3.   Find factors of 166 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 166

• Divide 166 by 1: 166 ÷ 1 : Remainder = 0
• Divide 166 by 2: 166 ÷ 2 : Remainder = 0
• Divide 166 by 83: 166 ÷ 83 : Remainder = 0
• Divide 166 by 166: 166 ÷ 166 : Remainder = 0

Hence, Factors of 166 are 1, 2, 83, and 166

#### 2. Steps to find factors of 166 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 166 using the division method, follow these steps:

• Step 1. Start dividing 166 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 166, which is 2. Divide 166 by 2 to obtain the quotient (83).
166 ÷ 2 = 83
• Step 3. Repeat step 1 with the obtained quotient (83).
83 ÷ 83 = 1

So, the prime factorization of 166 is, 166 = 2 x 83.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 166 as shown below:

So, the prime factorization of 166 is, 166 = 2 x 83.

#### 3. Find factors of 166 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 166 would be the two numbers which, when multiplied, give 166 as the result.

The following table represents the calculation of factors of 166 in pairs:

Factor Pair Pair Factorization
1 and 166 1 x 166 = 166
2 and 83 2 x 83 = 166

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 166. They are called negative pair factors.

Hence, the negative pairs of 166 would be ( -1 , -166 ) , ( -2 , -83 ) .

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 166 is a factor of itself.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 83, 166 are exact divisors of 166.
• 1 is a factor of every number. Eg. 1 is a factor of 166.
• Every number is a factor of zero (0), since 166 x 0 = 0.

• Is 166 a perfect square?

No 166 is not a perfect square.

• What are factors of 166?

Factors of 166 are 1, 2, 83, 166.

• Which is greatest factor of 166?

The greatest factor of 166 is 83.

• What is the sum of all factors of 166?

The sum of all factors of 166 is 252.

• What are multiples of 166?

First five multiples of 166 are 332, 498, 664, 830.

• What is the greatest prime factors of 166?

The greatest prime factor of 166 is 83.

• What are six multiples of 166?

First five multiples of 166 are 332, 498, 664, 830, 996, 1162.

• What is prime factorization of 166?

Prime factorization of 166 is 2 x 83.

• Is 166 a whole number?

Yes 166 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 166? Help her in writing all the factors.

Positive factors are 1, 2, 83, 166.
Negative factors are -1, -2, -83, -166.

Can you help Sammy find out the product of the odd factors of 166?

Factors of 166 are 1, 2, 83, 166.
Odd factors of 166 are 1, 83.
Hence product of odd factors of 166 is; 1 x 83 = 83.

Joey wants to write all the prime factors of 166 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 166 are 2, 83.
So in exponential form it can be written as 2 x 83.

How many factors are there for 166?

Factors of 166 are 1, 2, 83, 166.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 166. Can you predict the answer?

3 factor(s) of 166 are 1, 2, 83.

Sammy is puzzled while calculating the prime factors of 166. Can you help him find them?

Factors of 166 are 1, 2, 83, 166.
Prime factors of 166 are 2, 83

What is prime factorization of 166?

Prime factorization of 166 is 2 x 83 = 2 x 83.