Prime Factorization of 34

What is the Prime Factorization of 34?

Answer: Prime Factors of 34: 2, 17

Explanation of number 34 Prime Factorization

Prime Factorization of 34 it is expressing 34 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 34.

Since number 34 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 34, we have to iteratively divide 34 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 34:

The smallest Prime Number which can divide 34 without a remainder is 2. So the first calculation step would look like:

34 Γ· 2 = 17

Now we repeat this action until the result equals 1:

17 Γ· 17 = 1

Now we have all the Prime Factors for number 34. It is: 2, 17

Prime Factor Tree of 34

We may also express the prime factorization of 34 as a Factor Tree:

Prime factors of 34 factorization tree of 34

Prime Factorization Table

NumberPrime Factors
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
24 Γ— 3

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 34? (The answer is: 2, 17). Pick the number for factorization (e.g. '34'). 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 34?

Prime Factors of 34: 2, 17

How many prime factors does 34 have?

Number 34 has 2 Prime Factors