Prime Factorization of 170

What is the Prime Factorization of 170?

Answer: Prime Factors of 170: 2, 5, 17

Explanation of number 170 Prime Factorization

Prime Factorization of 170 it is expressing 170 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 170.

Since number 170 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 170, we have to iteratively divide 170 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 170:

The smallest Prime Number which can divide 170 without a remainder is 2. So the first calculation step would look like:

170 ÷ 2 = 85

Now we repeat this action until the result equals 1:

85 ÷ 5 = 17

17 ÷ 17 = 1

Now we have all the Prime Factors for number 170. It is: 2, 5, 17

Prime Factor Tree of 170

We may also express the prime factorization of 170 as a Factor Tree:

Prime factors of 170 factorization tree of 170

Prime Factorization Table

NumberPrime Factors
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
179
22 × 32 × 5
181
2, 7, 13
3, 61
23 × 23

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 170? (The answer is: 2, 5, 17). Pick the number for factorization (e.g. '170'). 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 170?

Prime Factors of 170: 2, 5, 17

How many prime factors does 170 have?

Number 170 has 3 Prime Factors