Prime Factorization of 66

What is the Prime Factorization of 66?

Answer: Prime Factors of 66: 2, 3, 11

Explanation of number 66 Prime Factorization

Prime Factorization of 66 it is expressing 66 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 66.

Since number 66 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 66, we have to iteratively divide 66 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 66:

The smallest Prime Number which can divide 66 without a remainder is 2. So the first calculation step would look like:

66 ÷ 2 = 33

Now we repeat this action until the result equals 1:

33 ÷ 3 = 11

11 ÷ 11 = 1

Now we have all the Prime Factors for number 66. It is: 2, 3, 11

Prime Factor Tree of 66

We may also express the prime factorization of 66 as a Factor Tree:

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 66? (The answer is: 2, 3, 11). Pick the number for factorization (e.g. '66'). 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
3, 17
22 × 13
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

FAQ

What is the Prime Factorization of 66?

Prime Factors of 66: 2, 3, 11

How many prime factors does 66 have?

Number 66 has 3 Prime Factors