Prime Factorization of 20

What is the Prime Factorization of 20?

Answer: Prime Factors of 20: 2, 2, 5

or

22 × 5

Explanation of number 20 Prime Factorization

Prime Factorization of 20 it is expressing 20 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 20.

Since number 20 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 20, we have to iteratively divide 20 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 20:

The smallest Prime Number which can divide 20 without a remainder is 2. So the first calculation step would look like:

20 ÷ 2 = 10

Now we repeat this action until the result equals 1:

10 ÷ 2 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 20. It is: 2, 2, 5

Or you may also write it in exponential form: 22 × 5

Prime Factor Tree of 20

We may also express the prime factorization of 20 as a Factor Tree:

Prime factors of 20 factorization tree of 20

Prime Factorization Table

NumberPrime Factors
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
31
25
3, 11
2, 17

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 20? (The answer is: 2, 2, 5). Pick the number for factorization (e.g. '20'). 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 20?

Prime Factors of 20: 2, 2, 5

How many prime factors does 20 have?

Number 20 has 3 Prime Factors

What is the Prime Factorization of 20 in exponential form?

The Prime Factorization of the number 20 in the exponential form is: 22 × 5