Prime Factorization of 297

What is the Prime Factorization of 297?

Answer: Prime Factors of 297: 3, 3, 3, 11

or

33 × 11

Explanation of number 297 Prime Factorization

Prime Factorization of 297 it is expressing 297 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 297.

Since number 297 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 297, we have to iteratively divide 297 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 297:

The smallest Prime Number which can divide 297 without a remainder is 3. So the first calculation step would look like:

297 ÷ 3 = 99

Now we repeat this action until the result equals 1:

99 ÷ 3 = 33

33 ÷ 3 = 11

11 ÷ 11 = 1

Now we have all the Prime Factors for number 297. It is: 3, 3, 3, 11

Or you may also write it in exponential form: 33 × 11

Prime Factor Tree of 297

We may also express the prime factorization of 297 as a Factor Tree:

Prime factors of 297 factorization tree of 297

Prime Factorization Table

NumberPrime Factors
2, 3, 47
283
22 × 71
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

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 297? (The answer is: 3, 3, 3, 11). Pick the number for factorization (e.g. '297'). 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 297?

Prime Factors of 297: 3, 3, 3, 11

How many prime factors does 297 have?

Number 297 has 4 Prime Factors

What is the Prime Factorization of 297 in exponential form?

The Prime Factorization of the number 297 in the exponential form is: 33 × 11