Prime Factorization of 164

What is the Prime Factorization of 164?

Answer: Prime Factors of 164: 2, 2, 41

or

22 × 41

Explanation of number 164 Prime Factorization

Prime Factorization of 164 it is expressing 164 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 164.

Since number 164 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 164, we have to iteratively divide 164 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 164:

The smallest Prime Number which can divide 164 without a remainder is 2. So the first calculation step would look like:

164 ÷ 2 = 82

Now we repeat this action until the result equals 1:

82 ÷ 2 = 41

41 ÷ 41 = 1

Now we have all the Prime Factors for number 164. It is: 2, 2, 41

Or you may also write it in exponential form: 22 × 41

Prime Factor Tree of 164

We may also express the prime factorization of 164 as a Factor Tree:

Prime factors of 164 factorization tree of 164

Prime Factorization Table

NumberPrime Factors
149
2 × 3 × 52
151
23 × 19
32 × 17
2, 7, 11
5, 31
22 × 3 × 13
157
2, 79
3, 53
25 × 5
7, 23
2 × 34
163
22 × 41
3, 5, 11
2, 83
167
23 × 3 × 7
132
2, 5, 17
32 × 19
22 × 43
173
2, 3, 29
52 × 7
24 × 11
3, 59
2, 89

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 164? (The answer is: 2, 2, 41). Pick the number for factorization (e.g. '164'). 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 164?

Prime Factors of 164: 2, 2, 41

How many prime factors does 164 have?

Number 164 has 3 Prime Factors

What is the Prime Factorization of 164 in exponential form?

The Prime Factorization of the number 164 in the exponential form is: 22 × 41