Prime Factorization of 864

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Prime Factors of

What is the Prime Factorization of 864?

Answer: Prime Factors of 864: 2, 2, 2, 2, 2, 3, 3, 3

or

25 × 33

Explanation of number 864 Prime Factorization

Prime Factorization of 864 it is expressing 864 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 864.

Since number 864 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 864, we have to iteratively divide 864 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 864:

The smallest Prime Number which can divide 864 without a remainder is 2. So the first calculation step would look like:

864 ÷ 2 = 432

Now we repeat this action until the result equals 1:

432 ÷ 2 = 216

216 ÷ 2 = 108

108 ÷ 2 = 54

54 ÷ 2 = 27

27 ÷ 3 = 9

9 ÷ 3 = 3

3 ÷ 3 = 1

Now we have all the Prime Factors for number 864. It is: 2, 2, 2, 2, 2, 3, 3, 3

Or you may also write it in exponential form: 25 × 33

Prime Factor Tree of 864

We may also express the prime factorization of 864 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 864? (The answer is: 2, 2, 2, 2, 2, 3, 3, 3). Pick the number for factorization (e.g. '864'). 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
8493, 283
8502 × 52 × 17
85123, 37
85222 × 3 × 71
853853
8542, 7, 61
85532 × 5 × 19
85623 × 107
857857
8582, 3, 11, 13
859859
86022 × 5 × 43
8613, 7, 41
8622, 431
863863
86425 × 33
8655, 173
8662, 433
8673 × 172
86822 × 7 × 31
86911, 79
8702, 3, 5, 29
87113, 67
87223 × 109
87332 × 97
8742, 19, 23
87553 × 7
87622 × 3 × 73
877877
8782, 439

FAQ

What is the Prime Factorization of 864?

Prime Factors of 864: 2, 2, 2, 2, 2, 3, 3, 3

How many prime factors does 864 have?

Number 864 has 8 Prime Factors

What is the Prime Factorization of 864 in exponential form?

The Prime Factorization of the number 864 in the exponential form is: 25 × 33

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