Prime Factorization of 187

What is the Prime Factorization of 187?

Answer: Prime Factors of 187: 11, 17

Explanation of number 187 Prime Factorization

Prime Factorization of 187 it is expressing 187 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 187.

Since number 187 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 187, we have to iteratively divide 187 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 187:

The smallest Prime Number which can divide 187 without a remainder is 11. So the first calculation step would look like:

187 ÷ 11 = 17

Now we repeat this action until the result equals 1:

17 ÷ 17 = 1

Now we have all the Prime Factors for number 187. It is: 11, 17

Prime Factor Tree of 187

We may also express the prime factorization of 187 as a Factor Tree:

Prime factors of 187 factorization tree of 187

Prime Factorization Table

NumberPrime Factors
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
5, 37
2, 3, 31
11, 17
22 × 47
33 × 7
2, 5, 19
191
26 × 3
193
2, 97
3, 5, 13
22 × 72
197
2 × 32 × 11
199
23 × 52
3, 67

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 187? (The answer is: 11, 17). Pick the number for factorization (e.g. '187'). 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 187?

Prime Factors of 187: 11, 17

How many prime factors does 187 have?

Number 187 has 2 Prime Factors