Prime Factorization of 68

What is the Prime Factorization of 68?

Answer: Prime Factors of 68: 2, 2, 17

or

22 × 17

Explanation of number 68 Prime Factorization

Prime Factorization of 68 it is expressing 68 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 68.

Since number 68 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 68, we have to iteratively divide 68 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 68:

The smallest Prime Number which can divide 68 without a remainder is 2. So the first calculation step would look like:

68 ÷ 2 = 34

Now we repeat this action until the result equals 1:

34 ÷ 2 = 17

17 ÷ 17 = 1

Now we have all the Prime Factors for number 68. It is: 2, 2, 17

Or you may also write it in exponential form: 22 × 17

Prime Factor Tree of 68

We may also express the prime factorization of 68 as a Factor Tree:

Prime factors of 68 factorization tree of 68

Prime Factorization Table

NumberPrime Factors
53
2 × 33
5, 11
23 × 7
3, 19
2, 29
59
22 × 3 × 5
61
2, 31
32 × 7
26
5, 13
2, 3, 11
67
22 × 17
3, 23
2, 5, 7
71
23 × 32
73
2, 37
3 × 52
22 × 19
7, 11
2, 3, 13
79
24 × 5
34
2, 41

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 68? (The answer is: 2, 2, 17). Pick the number for factorization (e.g. '68'). 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 68?

Prime Factors of 68: 2, 2, 17

How many prime factors does 68 have?

Number 68 has 3 Prime Factors

What is the Prime Factorization of 68 in exponential form?

The Prime Factorization of the number 68 in the exponential form is: 22 × 17