# Factors of 184

Factors of 184 are 1, 2, 4, 8, 23, 46, 92, and 184

#### How to find factors of a number

 1.   Find factors of 184 using Division Method 2.   Find factors of 184 using Prime Factorization 3.   Find factors of 184 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 184

• Divide 184 by 1: 184 ÷ 1 : Remainder = 0
• Divide 184 by 2: 184 ÷ 2 : Remainder = 0
• Divide 184 by 4: 184 ÷ 4 : Remainder = 0
• Divide 184 by 8: 184 ÷ 8 : Remainder = 0
• Divide 184 by 23: 184 ÷ 23 : Remainder = 0
• Divide 184 by 46: 184 ÷ 46 : Remainder = 0
• Divide 184 by 92: 184 ÷ 92 : Remainder = 0
• Divide 184 by 184: 184 ÷ 184 : Remainder = 0

Hence, Factors of 184 are 1, 2, 4, 8, 23, 46, 92, and 184

#### 2. Steps to find factors of 184 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 184 using the division method, follow these steps:

• Step 1. Start dividing 184 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 184, which is 2. Divide 184 by 2 to obtain the quotient (92).
184 ÷ 2 = 92
• Step 3. Repeat step 1 with the obtained quotient (92).
92 ÷ 2 = 46
46 ÷ 2 = 23
23 ÷ 23 = 1

So, the prime factorization of 184 is, 184 = 2 x 2 x 2 x 23.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 184 as shown below:

So, the prime factorization of 184 is, 184 = 2 x 2 x 2 x 23.

#### 3. Find factors of 184 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 184 would be the two numbers which, when multiplied, give 184 as the result.

The following table represents the calculation of factors of 184 in pairs:

Factor Pair Pair Factorization
1 and 184 1 x 184 = 184
2 and 92 2 x 92 = 184
4 and 46 4 x 46 = 184
8 and 23 8 x 23 = 184

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 184. They are called negative pair factors.

Hence, the negative pairs of 184 would be ( -1 , -184 ) , ( -2 , -92 ) , ( -4 , -46 ) and ( -8 , -23 ) .

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 184 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 184.
• Every number is a factor of zero (0), since 184 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, 2, 4, 8, 23, 46, 92, 184 are exact divisors of 184.
• Factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184. Each factor divides 184 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 23, 46, 92, 184 are all less than or equal to 184.

• Is 184 a perfect square?

No 184 is not a perfect square.

• What are factors of 184?

Factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184.

• Which is greatest factor of 184?

The greatest factor of 184 is 92.

• What is the sum of all factors of 184?

The sum of all factors of 184 is 360.

• What are multiples of 184?

First five multiples of 184 are 368, 552, 736, 920.

• What is the greatest prime factors of 184?

The greatest prime factor of 184 is 23.

• What are six multiples of 184?

First five multiples of 184 are 368, 552, 736, 920, 1104, 1288.

• What is prime factorization of 184?

Prime factorization of 184 is 2 x 2 x 2 x 23.

• Is 184 a whole number?

Yes 184 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 184? Help her in writing all the factors.

Positive factors are 1, 2, 4, 8, 23, 46, 92, 184.
Negative factors are -1, -2, -4, -8, -23, -46, -92, -184.

Can you help Sammy find out the product of the odd factors of 184?

Factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184.
Odd factors of 184 are 1, 23.
Hence product of odd factors of 184 is; 1 x 23 = 23.

Joey wants to write all the prime factors of 184 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 184 are 2, 2, 2, 23.
So in exponential form it can be written as 23 x 23.

How many factors are there for 184?

Factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 184. Can you predict the answer?

7 factor(s) of 184 are 1, 2, 4, 8, 23, 46, 92.

Sammy is puzzled while calculating the prime factors of 184. Can you help him find them?

Factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184.
Prime factors of 184 are 2, 2, 2, 23

What is prime factorization of 184?

Prime factorization of 184 is 2 x 2 x 2 x 23 = 23 x 23.