Prime Factorization of 192

What is the Prime Factorization of 192?

Answer: Prime Factors of 192: 2, 2, 2, 2, 2, 2, 3

or

26 × 3

Explanation of number 192 Prime Factorization

Prime Factorization of 192 it is expressing 192 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 192.

Since number 192 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 192, we have to iteratively divide 192 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 192:

The smallest Prime Number which can divide 192 without a remainder is 2. So the first calculation step would look like:

192 ÷ 2 = 96

Now we repeat this action until the result equals 1:

96 ÷ 2 = 48

48 ÷ 2 = 24

24 ÷ 2 = 12

12 ÷ 2 = 6

6 ÷ 2 = 3

3 ÷ 3 = 1

Now we have all the Prime Factors for number 192. It is: 2, 2, 2, 2, 2, 2, 3

Or you may also write it in exponential form: 26 × 3

Prime Factor Tree of 192

We may also express the prime factorization of 192 as a Factor Tree:

Prime factors of 192 factorization tree of 192

Prime Factorization Table

NumberPrime Factors
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
199
23 × 52
3, 67
2, 101
7, 29
22 × 3 × 17
5, 41
2, 103

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 192? (The answer is: 2, 2, 2, 2, 2, 2, 3). Pick the number for factorization (e.g. '192'). 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 192?

Prime Factors of 192: 2, 2, 2, 2, 2, 2, 3

How many prime factors does 192 have?

Number 192 has 7 Prime Factors

What is the Prime Factorization of 192 in exponential form?

The Prime Factorization of the number 192 in the exponential form is: 26 × 3