Prime Factorization of 132

What is the Prime Factorization of 132?

Answer: Prime Factors of 132: 2, 2, 3, 11

or

22 × 3 × 11

Explanation of number 132 Prime Factorization

Prime Factorization of 132 it is expressing 132 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 132.

Since number 132 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 132, we have to iteratively divide 132 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 132:

The smallest Prime Number which can divide 132 without a remainder is 2. So the first calculation step would look like:

132 ÷ 2 = 66

Now we repeat this action until the result equals 1:

66 ÷ 2 = 33

33 ÷ 3 = 11

11 ÷ 11 = 1

Now we have all the Prime Factors for number 132. It is: 2, 2, 3, 11

Or you may also write it in exponential form: 22 × 3 × 11

Prime Factor Tree of 132

We may also express the prime factorization of 132 as a Factor Tree:

Prime factors of 132 factorization tree of 132

Prime Factorization Table

NumberPrime Factors
32 × 13
2, 59
7, 17
23 × 3 × 5
112
2, 61
3, 41
22 × 31
53
2 × 32 × 7
127
27
3, 43
2, 5, 13
131
22 × 3 × 11
7, 19
2, 67
33 × 5
23 × 17
137
2, 3, 23
139
22 × 5 × 7
3, 47
2, 71
11, 13
24 × 32
5, 29
2, 73

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 132? (The answer is: 2, 2, 3, 11). Pick the number for factorization (e.g. '132'). 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 132?

Prime Factors of 132: 2, 2, 3, 11

How many prime factors does 132 have?

Number 132 has 4 Prime Factors

What is the Prime Factorization of 132 in exponential form?

The Prime Factorization of the number 132 in the exponential form is: 22 × 3 × 11