Prime Factorization of 16

What is the Prime Factorization of 16?

Answer: Prime Factors of 16: 2, 2, 2, 2

or

24

Explanation of number 16 Prime Factorization

Prime Factorization of 16 it is expressing 16 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 16.

Since number 16 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 16, we have to iteratively divide 16 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 16:

The smallest Prime Number which can divide 16 without a remainder is 2. So the first calculation step would look like:

16 ÷ 2 = 8

Now we repeat this action until the result equals 1:

8 ÷ 2 = 4

4 ÷ 2 = 2

2 ÷ 2 = 1

Now we have all the Prime Factors for number 16. It is: 2, 2, 2, 2

Or you may also write it in exponential form: 24

Prime Factor Tree of 16

We may also express the prime factorization of 16 as a Factor Tree:

Prime factors of 16 factorization tree of 16

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 16? (The answer is: 2, 2, 2, 2). Pick the number for factorization (e.g. '16'). 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 16?

Prime Factors of 16: 2, 2, 2, 2

How many prime factors does 16 have?

Number 16 has 4 Prime Factors

What is the Prime Factorization of 16 in exponential form?

The Prime Factorization of the number 16 in the exponential form is: 24