Prime Factorization of 159

What is the Prime Factorization of 159?

Answer: Prime Factors of 159: 3, 53

Explanation of number 159 Prime Factorization

Prime Factorization of 159 it is expressing 159 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 159.

Since number 159 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 159, we have to iteratively divide 159 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 159:

The smallest Prime Number which can divide 159 without a remainder is 3. So the first calculation step would look like:

159 ÷ 3 = 53

Now we repeat this action until the result equals 1:

53 ÷ 53 = 1

Now we have all the Prime Factors for number 159. It is: 3, 53

Prime Factor Tree of 159

We may also express the prime factorization of 159 as a Factor Tree:

Prime factors of 159 factorization tree of 159

See Also

Prime Factorization Table

NumberPrime Factors
24 × 32
5, 29
2, 73
3 × 72
22 × 37
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

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 159? (The answer is: 3, 53). Pick the number for factorization (e.g. '159'). 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 159?

Prime Factors of 159: 3, 53

How many prime factors does 159 have?

Number 159 has 2 Prime Factors