# Factors of 167

Factors of 167 are 1 and 167

#### How to find factors of a number

 1.   Find factors of 167 using Division Method 2.   Find factors of 167 using Prime Factorization 3.   Find factors of 167 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 167

• Divide 167 by 1: 167 ÷ 1 : Remainder = 0
• Divide 167 by 167: 167 ÷ 167 : Remainder = 0

Hence, Factors of 167 are 1 and 167

#### 2. Steps to find factors of 167 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 167 using the division method, follow these steps:

• Step 1. Start dividing 167 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 167, which is 167. Divide 167 by 167 to obtain the quotient (1).
167 ÷ 167 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 167 is, 167 = 167.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 167 as shown below:

So, the prime factorization of 167 is, 167 = 167.

#### 3. Find factors of 167 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 167 would be the two numbers which, when multiplied, give 167 as the result.

The following table represents the calculation of factors of 167 in pairs:

Factor Pair Pair Factorization
1 and 167 1 x 167 = 167

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 167. They are called negative pair factors.

Hence, the negative pairs of 167 would be ( -1 , -167 ) , .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Every number is a factor of zero (0), since 167 x 0 = 0.
• 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, 167 are exact divisors of 167.
• Factors of 167 are 1, 167. Each factor divides 167 without leaving a remainder.

• What are the pair factors of 167?

Pair factors of 167 are (1,167).

• What are five multiples of 167?

First five multiples of 167 are 334, 501, 668, 835, 1002.

• What two numbers make 167?

Two numbers that make 167 are 167 and 1.

• What is the sum of all factors of 167?

The sum of all factors of 167 is 168.

• What are factors of -167?

Factors of -167 are -1, -167.

• What are factors of 167?

Factors of 167 are 1, 167.

• Is 167 a perfect square?

No 167 is not a perfect square.

• Which is the smallest prime factor of 167?

Smallest prime factor of 167 is 167.

• Which is greatest factor of 167?

The greatest factor of 167 is 1.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 167?

Factors of 167 are 1, 167.
Odd factors of 167 are 1, 167.
Hence product of odd factors of 167 is; 1 x 167 = 167.

Joey wants to write all the prime factors of 167 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 167 are 167.
So in exponential form it can be written as 167.

How many factors are there for 167?

Factors of 167 are 1, 167.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 167. Can you predict the answer?

1 factor(s) of 167 is 1.

Sammy is puzzled while calculating the prime factors of 167. Can you help him find them?

Factors of 167 are 1, 167.
Prime factors of 167 are 167

What is prime factorization of 167?

Prime factorization of 167 is 167 = 167.

Can you help Rubel to find out the product of the even factors of 167?

Factors of 167 are 1, 167.
Even factors of 167 are 0.
Hence, product of even factors of 167 is; 0 = 0.