Prime Factorization of 33

What is the Prime Factorization of 33?

Answer: Prime Factors of 33: 3, 11

Explanation of number 33 Prime Factorization

Prime Factorization of 33 it is expressing 33 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 33.

Since number 33 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 33, we have to iteratively divide 33 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 33:

The smallest Prime Number which can divide 33 without a remainder is 3. So the first calculation step would look like:

33 Γ· 3 = 11

Now we repeat this action until the result equals 1:

11 Γ· 11 = 1

Now we have all the Prime Factors for number 33. It is: 3, 11

Prime Factor Tree of 33

We may also express the prime factorization of 33 as a Factor Tree:

Prime factors of 33 factorization tree of 33

Prime Factorization Table

NumberPrime Factors
2 Γ— 32
19
22 Γ— 5
3, 7
2, 11
23
23 Γ— 3
52
2, 13
33
22 Γ— 7
29
2, 3, 5
31
25
3, 11
2, 17
5, 7
22 Γ— 32
37
2, 19
3, 13
23 Γ— 5
41
2, 3, 7
43
22 Γ— 11
32 Γ— 5
2, 23
47

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 33? (The answer is: 3, 11). Pick the number for factorization (e.g. '33'). 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 33?

Prime Factors of 33: 3, 11

How many prime factors does 33 have?

Number 33 has 2 Prime Factors