Prime Factorization of 184

What is the Prime Factorization of 184?

Answer: Prime Factors of 184: 2, 2, 2, 23

or

23 × 23

Explanation of number 184 Prime Factorization

Prime Factorization of 184 it is expressing 184 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 184.

Since number 184 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 184, we have to iteratively divide 184 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 184:

The smallest Prime Number which can divide 184 without a remainder is 2. So the first calculation step would look like:

184 ÷ 2 = 92

Now we repeat this action until the result equals 1:

92 ÷ 2 = 46

46 ÷ 2 = 23

23 ÷ 23 = 1

Now we have all the Prime Factors for number 184. It is: 2, 2, 2, 23

Or you may also write it in exponential form: 23 × 23

Prime Factor Tree of 184

We may also express the prime factorization of 184 as a Factor Tree:

Prime factors of 184 factorization tree of 184

Prime Factorization Table

NumberPrime Factors
132
2, 5, 17
32 × 19
22 × 43
173
2, 3, 29
52 × 7
24 × 11
3, 59
2, 89
179
22 × 32 × 5
181
2, 7, 13
3, 61
23 × 23
5, 37
2, 3, 31
11, 17
22 × 47
33 × 7
2, 5, 19
191
26 × 3
193
2, 97
3, 5, 13
22 × 72
197
2 × 32 × 11

About "Prime Factorization" Calculator

This calculator will perform a Prime Factorization of any given number and will show all its Prime Factors. For example, it can help you find out what is the Prime Factorization of 184? (The answer is: 2, 2, 2, 23). Pick the number for factorization (e.g. '184'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

FAQ

What is the Prime Factorization of 184?

Prime Factors of 184: 2, 2, 2, 23

How many prime factors does 184 have?

Number 184 has 4 Prime Factors

What is the Prime Factorization of 184 in exponential form?

The Prime Factorization of the number 184 in the exponential form is: 23 × 23