# Factors of 183

Factors of 183 are 1, 3, 61, and 183

#### How to find factors of a number

 1.   Find factors of 183 using Division Method 2.   Find factors of 183 using Prime Factorization 3.   Find factors of 183 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 183

• Divide 183 by 1: 183 ÷ 1 : Remainder = 0
• Divide 183 by 3: 183 ÷ 3 : Remainder = 0
• Divide 183 by 61: 183 ÷ 61 : Remainder = 0
• Divide 183 by 183: 183 ÷ 183 : Remainder = 0

Hence, Factors of 183 are 1, 3, 61, and 183

#### 2. Steps to find factors of 183 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 183 using the division method, follow these steps:

• Step 1. Start dividing 183 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 183, which is 3. Divide 183 by 3 to obtain the quotient (61).
183 ÷ 3 = 61
• Step 3. Repeat step 1 with the obtained quotient (61).
61 ÷ 61 = 1

So, the prime factorization of 183 is, 183 = 3 x 61.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 183 as shown below:

So, the prime factorization of 183 is, 183 = 3 x 61.

#### 3. Find factors of 183 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 183 would be the two numbers which, when multiplied, give 183 as the result.

The following table represents the calculation of factors of 183 in pairs:

Factor Pair Pair Factorization
1 and 183 1 x 183 = 183
3 and 61 3 x 61 = 183

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 183. They are called negative pair factors.

Hence, the negative pairs of 183 would be ( -1 , -183 ) , ( -3 , -61 ) .

#### 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 number is a factor of zero (0), since 183 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, 3, 61, 183 are exact divisors of 183.
• Factors of 183 are 1, 3, 61, 183. Each factor divides 183 without leaving a remainder.

• What are the prime factors of 183?

The factors of 183 are 1, 3, 61, 183.
Prime factors of 183 are 3, 61.

• What two numbers make 183?

Two numbers that make 183 are 3 and 61.

• What is the greatest prime factors of 183?

The greatest prime factor of 183 is 61.

• What are factors of 183?

Factors of 183 are 1, 3, 61, 183.

• How do you find factors of a negative number? ( eg. -183 )?

Factors of -183 are -1, -3, -61, -183.

• What are five multiples of 183?

First five multiples of 183 are 366, 549, 732, 915, 1098.

• Write some multiples of 183?

First five multiples of 183 are 366, 549, 732, 915.

• Is 183 a perfect square?

No 183 is not a perfect square.

• What two numbers make 183?

Two numbers that make 183 are 3 and 61.

#### Examples of Factors

What is prime factorization of 183?

Prime factorization of 183 is 3 x 61 = 3 x 61.

Sammy is puzzled while calculating the prime factors of 183. Can you help him find them?

Factors of 183 are 1, 3, 61, 183.
Prime factors of 183 are 3, 61

Kevin has been asked to write 3 factor(s) of 183. Can you predict the answer?

3 factor(s) of 183 are 1, 3, 61.

Joey wants to write all the prime factors of 183 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 183 are 3, 61.
So in exponential form it can be written as 3 x 61.

How many factors are there for 183?

Factors of 183 are 1, 3, 61, 183.
So there are in total 4 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 183? Help her in writing all the factors.

Positive factors are 1, 3, 61, 183.
Negative factors are -1, -3, -61, -183.

Can you help Rubel to find out the product of the even factors of 183?

Factors of 183 are 1, 3, 61, 183.
Even factors of 183 are 0.
Hence, product of even factors of 183 is; 0 = 0.