Prime Factorization of 133

What is the Prime Factorization of 133?

Answer: Prime Factors of 133: 7, 19

Explanation of number 133 Prime Factorization

Prime Factorization of 133 it is expressing 133 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 133.

Since number 133 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 133, we have to iteratively divide 133 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 133:

The smallest Prime Number which can divide 133 without a remainder is 7. So the first calculation step would look like:

133 ÷ 7 = 19

Now we repeat this action until the result equals 1:

19 ÷ 19 = 1

Now we have all the Prime Factors for number 133. It is: 7, 19

Prime Factor Tree of 133

We may also express the prime factorization of 133 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 133? (The answer is: 7, 19). Pick the number for factorization (e.g. '133'). 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
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
3 × 72

FAQ

What is the Prime Factorization of 133?

Prime Factors of 133: 7, 19

How many prime factors does 133 have?

Number 133 has 2 Prime Factors