# Factors of 173

Factors of 173 are 1 and 173

#### How to find factors of a number

 1.   Find factors of 173 using Division Method 2.   Find factors of 173 using Prime Factorization 3.   Find factors of 173 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 173

• Divide 173 by 1: 173 ÷ 1 : Remainder = 0
• Divide 173 by 173: 173 ÷ 173 : Remainder = 0

Hence, Factors of 173 are 1 and 173

#### 2. Steps to find factors of 173 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 173 using the division method, follow these steps:

• Step 1. Start dividing 173 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 173, which is 173. Divide 173 by 173 to obtain the quotient (1).
173 ÷ 173 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 173 is, 173 = 173.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 173 as shown below:

So, the prime factorization of 173 is, 173 = 173.

#### 3. Find factors of 173 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 173 would be the two numbers which, when multiplied, give 173 as the result.

The following table represents the calculation of factors of 173 in pairs:

Factor Pair Pair Factorization
1 and 173 1 x 173 = 173

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 173. They are called negative pair factors.

Hence, the negative pairs of 173 would be ( -1 , -173 ) , .

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 173 are exact divisors of 173.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 173 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 173.

• What two numbers make 173?

Two numbers that make 173 are 173 and 1.

• What is prime factorization of 173?

Prime factorization of 173 is 173.

• Write some multiples of 173?

First five multiples of 173 are 346, 519, 692, 865.

• Which is the smallest prime factor of 173?

The smallest prime factor of 173 is 173.

• Is 173 a perfect square?

No 173 is not a perfect square.

• What is the sum of all factors of 173?

The sum of all factors of 173 is 174.

• What are factors of 173?

Factors of 173 are 1, 173.

• How do you find factors of a negative number? ( eg. -173 )?

Factors of -173 are -1, -173.

• Is 173 a whole number?

Yes 173 is a whole number.

#### Examples of Factors

Joy wants to calculate mean of all the factors of 173. Help him in finding the mean of 173.

Factors of 173 are 1, 173.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 173 is 1 + 173 = 174.
Hence, the mean of factors of 173 is 174 ÷ 2 = 87.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 173? Help her in writing all the factors.

Positive factors are 1, 173.
Negative factors are -1, -173.

Joey wants to write all the prime factors of 173 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 173 are 173.
So in exponential form it can be written as 173.

Kevin has been asked to write 1 factor(s) of 173. Can you predict the answer?

1 factor(s) of 173 is 1.

Sammy is puzzled while calculating the prime factors of 173. Can you help him find them?

Factors of 173 are 1, 173.
Prime factors of 173 are 173

What is prime factorization of 173?

Prime factorization of 173 is 173 = 173.

Can you help Rubel to find out the product of the even factors of 173?

Factors of 173 are 1, 173.
Even factors of 173 are 0.
Hence, product of even factors of 173 is; 0 = 0.