Prime Factorization of 300

What is the Prime Factorization of 300?

Answer: Prime Factors of 300: 2, 2, 3, 5, 5

or

22 × 3 × 52

Explanation of number 300 Prime Factorization

Prime Factorization of 300 it is expressing 300 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 300.

Since number 300 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 300, we have to iteratively divide 300 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 300:

The smallest Prime Number which can divide 300 without a remainder is 2. So the first calculation step would look like:

300 ÷ 2 = 150

Now we repeat this action until the result equals 1:

150 ÷ 2 = 75

75 ÷ 3 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 300. It is: 2, 2, 3, 5, 5

Or you may also write it in exponential form: 22 × 3 × 52

Prime Factor Tree of 300

We may also express the prime factorization of 300 as a Factor Tree:

Prime factors of 300 factorization tree of 300

Prime Factorization Table

NumberPrime Factors
3, 5, 19
2, 11, 13
7, 41
25 × 32
172
2, 5, 29
3, 97
22 × 73
293
2 × 3 × 72
5, 59
23 × 37
33 × 11
2, 149
13, 23
22 × 3 × 52
7, 43
2, 151
3, 101
24 × 19
5, 61
2 × 32 × 17
307
22 × 7 × 11
3, 103
2, 5, 31
311
23 × 3 × 13
313
2, 157

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 300? (The answer is: 2, 2, 3, 5, 5). Pick the number for factorization (e.g. '300'). 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 300?

Prime Factors of 300: 2, 2, 3, 5, 5

How many prime factors does 300 have?

Number 300 has 5 Prime Factors

What is the Prime Factorization of 300 in exponential form?

The Prime Factorization of the number 300 in the exponential form is: 22 × 3 × 52