Prime Factorization of 384

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Prime Factors of

What is the Prime Factorization of 384?

Answer: Prime Factors of 384: 2, 2, 2, 2, 2, 2, 2, 3

or

27 × 3

Explanation of number 384 Prime Factorization

Prime Factorization of 384 it is expressing 384 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 384.

Since number 384 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 384, we have to iteratively divide 384 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 384:

The smallest Prime Number which can divide 384 without a remainder is 2. So the first calculation step would look like:

384 ÷ 2 = 192

Now we repeat this action until the result equals 1:

192 ÷ 2 = 96

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 384. It is: 2, 2, 2, 2, 2, 2, 2, 3

Or you may also write it in exponential form: 27 × 3

Prime Factor Tree of 384

We may also express the prime factorization of 384 as a Factor Tree:

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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 384? (The answer is: 2, 2, 2, 2, 2, 2, 2, 3). Pick the number for factorization (e.g. '384'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

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Prime Factors of

Prime Factorization Table

NumberPrime Factors
36932 × 41
3702, 5, 37
3717, 53
37222 × 3 × 31
373373
3742, 11, 17
3753 × 53
37623 × 47
37713, 29
3782 × 33 × 7
379379
38022 × 5 × 19
3813, 127
3822, 191
383383
38427 × 3
3855, 7, 11
3862, 193
38732 × 43
38822 × 97
389389
3902, 3, 5, 13
39117, 23
39223 × 72
3933, 131
3942, 197
3955, 79
39622 × 32 × 11
397397
3982, 199

FAQ

What is the Prime Factorization of 384?

Prime Factors of 384: 2, 2, 2, 2, 2, 2, 2, 3

How many prime factors does 384 have?

Number 384 has 8 Prime Factors

What is the Prime Factorization of 384 in exponential form?

The Prime Factorization of the number 384 in the exponential form is: 27 × 3

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