Prime Factorization of 22

What is the Prime Factorization of 22?

Answer: Prime Factors of 22: 2, 11

Explanation of number 22 Prime Factorization

Prime Factorization of 22 it is expressing 22 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 22.

Since number 22 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 22, we have to iteratively divide 22 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 22:

The smallest Prime Number which can divide 22 without a remainder is 2. So the first calculation step would look like:

22 ÷ 2 = 11

Now we repeat this action until the result equals 1:

11 ÷ 11 = 1

Now we have all the Prime Factors for number 22. It is: 2, 11

Prime Factor Tree of 22

We may also express the prime factorization of 22 as a Factor Tree:

See Also

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 22? (The answer is: 2, 11). Pick the number for factorization (e.g. '22'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

Prime Factorization Table

NumberPrime Factors
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
5, 7
22 × 32

FAQ

What is the Prime Factorization of 22?

Prime Factors of 22: 2, 11

How many prime factors does 22 have?

Number 22 has 2 Prime Factors