Prime Factorization of 512

What is the Prime Factorization of 512?

Answer: Prime Factors of 512: 2, 2, 2, 2, 2, 2, 2, 2, 2

or

29

Explanation of number 512 Prime Factorization

Prime Factorization of 512 it is expressing 512 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 512.

Since number 512 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 512, we have to iteratively divide 512 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 512:

The smallest Prime Number which can divide 512 without a remainder is 2. So the first calculation step would look like:

512 ÷ 2 = 256

Now we repeat this action until the result equals 1:

256 ÷ 2 = 128

128 ÷ 2 = 64

64 ÷ 2 = 32

32 ÷ 2 = 16

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

2 ÷ 2 = 1

Now we have all the Prime Factors for number 512. It is: 2, 2, 2, 2, 2, 2, 2, 2, 2

Or you may also write it in exponential form: 29

Prime Factor Tree of 512

We may also express the prime factorization of 512 as a Factor Tree:

Prime factors of 512 factorization tree of 512

Prime Factorization Table

NumberPrime Factors
7, 71
4982, 3, 83
499
22 × 53
3, 167
5022, 251
503
23 × 32 × 7
5, 101
2, 11, 23
3 × 132
50822 × 127
509
2, 3, 5, 17
7, 73
29
33 × 19
2, 257
5, 103
22 × 3 × 43
51711, 47
2, 7, 37
5193, 173
23 × 5 × 13
521
2 × 32 × 29
523
22 × 131
3 × 52 × 7
5262, 263

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 512? (The answer is: 2, 2, 2, 2, 2, 2, 2, 2, 2). Pick the number for factorization (e.g. '512'). 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 512?

Prime Factors of 512: 2, 2, 2, 2, 2, 2, 2, 2, 2

How many prime factors does 512 have?

Number 512 has 9 Prime Factors

What is the Prime Factorization of 512 in exponential form?

The Prime Factorization of the number 512 in the exponential form is: 29