Prime Factorization of 102

What is the Prime Factorization of 102?

Answer: Prime Factors of 102: 2, 3, 17

Explanation of number 102 Prime Factorization

Prime Factorization of 102 it is expressing 102 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 102.

Since number 102 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 102, we have to iteratively divide 102 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 102:

The smallest Prime Number which can divide 102 without a remainder is 2. So the first calculation step would look like:

102 ÷ 2 = 51

Now we repeat this action until the result equals 1:

51 ÷ 3 = 17

17 ÷ 17 = 1

Now we have all the Prime Factors for number 102. It is: 2, 3, 17

Prime Factor Tree of 102

We may also express the prime factorization of 102 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 102? (The answer is: 2, 3, 17). Pick the number for factorization (e.g. '102'). 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
3, 29
23 × 11
89
2 × 32 × 5
7, 13
22 × 23
3, 31
2, 47
5, 19
25 × 3
97
2 × 72
32 × 11
22 × 52
101
2, 3, 17
103
23 × 13
3, 5, 7
2, 53
107
22 × 33
109
2, 5, 11
3, 37
24 × 7
113
2, 3, 19
5, 23
22 × 29

FAQ

What is the Prime Factorization of 102?

Prime Factors of 102: 2, 3, 17

How many prime factors does 102 have?

Number 102 has 3 Prime Factors