Prime Factorization of 600

What is the Prime Factorization of 600?

Answer: Prime Factors of 600: 2, 2, 2, 3, 5, 5

or

23 × 3 × 52

Explanation of number 600 Prime Factorization

Prime Factorization of 600 it is expressing 600 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 600.

Since number 600 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 600, we have to iteratively divide 600 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 600:

The smallest Prime Number which can divide 600 without a remainder is 2. So the first calculation step would look like:

600 ÷ 2 = 300

Now we repeat this action until the result equals 1:

300 ÷ 2 = 150

150 ÷ 2 = 75

75 ÷ 3 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 600. It is: 2, 2, 2, 3, 5, 5

Or you may also write it in exponential form: 23 × 3 × 52

Prime Factor Tree of 600

We may also express the prime factorization of 600 as a Factor Tree:

Prime factors of 600 factorization tree of 600

Prime Factorization Table

NumberPrime Factors
32 × 5 × 13
2, 293
587
22 × 3 × 72
19, 31
2, 5, 59
5913, 197
59224 × 37
593
2 × 33 × 11
5955, 7, 17
22 × 149
5973, 199
2, 13, 23
599
23 × 3 × 52
601
6022, 7, 43
32 × 67
22 × 151
5 × 112
6062, 3, 101
607
60825 × 19
3, 7, 29
2, 5, 61
13, 47
22 × 32 × 17
613
6142, 307

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 600? (The answer is: 2, 2, 2, 3, 5, 5). Pick the number for factorization (e.g. '600'). 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 600?

Prime Factors of 600: 2, 2, 2, 3, 5, 5

How many prime factors does 600 have?

Number 600 has 6 Prime Factors

What is the Prime Factorization of 600 in exponential form?

The Prime Factorization of the number 600 in the exponential form is: 23 × 3 × 52