Prime Factorization of 243

What is the Prime Factorization of 243?

Answer: Prime Factors of 243: 3, 3, 3, 3, 3

or

35

Explanation of number 243 Prime Factorization

Prime Factorization of 243 it is expressing 243 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 243.

Since number 243 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 243, we have to iteratively divide 243 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 243:

The smallest Prime Number which can divide 243 without a remainder is 3. So the first calculation step would look like:

243 ÷ 3 = 81

Now we repeat this action until the result equals 1:

81 ÷ 3 = 27

27 ÷ 3 = 9

9 ÷ 3 = 3

3 ÷ 3 = 1

Now we have all the Prime Factors for number 243. It is: 3, 3, 3, 3, 3

Or you may also write it in exponential form: 35

Prime Factor Tree of 243

We may also express the prime factorization of 243 as a Factor Tree:

See Also

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 243? (The answer is: 3, 3, 3, 3, 3). Pick the number for factorization (e.g. '243'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

Prime Factorization Table

NumberPrime Factors
22 × 3 × 19
229
2, 5, 23
3, 7, 11
23 × 29
233
2 × 32 × 13
5, 47
22 × 59
3, 79
2, 7, 17
239
24 × 3 × 5
241
2 × 112
35
22 × 61
5 × 72
2, 3, 41
13, 19
23 × 31
3, 83
2 × 53
251
22 × 32 × 7
11, 23
2, 127
3, 5, 17
28
257

FAQ

What is the Prime Factorization of 243?

Prime Factors of 243: 3, 3, 3, 3, 3

How many prime factors does 243 have?

Number 243 has 5 Prime Factors

What is the Prime Factorization of 243 in exponential form?

The Prime Factorization of the number 243 in the exponential form is: 35