Prime Factorization of 14

What is the Prime Factorization of 14?

Answer: Prime Factors of 14: 2, 7

Explanation of number 14 Prime Factorization

Prime Factorization of 14 it is expressing 14 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 14.

Since number 14 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 14, we have to iteratively divide 14 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 14:

The smallest Prime Number which can divide 14 without a remainder is 2. So the first calculation step would look like:

14 ÷ 2 = 7

Now we repeat this action until the result equals 1:

7 ÷ 7 = 1

Now we have all the Prime Factors for number 14. It is: 2, 7

Prime Factor Tree of 14

We may also express the prime factorization of 14 as a Factor Tree:

Prime factors of 14 factorization tree of 14

Prime Factorization Table

NumberPrime Factors
1
2
3
22
5
2, 3
7
23
32
2, 5
11
22 × 3
13
2, 7
3, 5
24
17
2 × 32
19
22 × 5
3, 7
2, 11
23
23 × 3
52
2, 13
33
22 × 7
29
2, 3, 5

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 14? (The answer is: 2, 7). Pick the number for factorization (e.g. '14'). 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 14?

Prime Factors of 14: 2, 7

How many prime factors does 14 have?

Number 14 has 2 Prime Factors