Prime Factorization of 221

What is the Prime Factorization of 221?

Answer: Prime Factors of 221: 13, 17

Explanation of number 221 Prime Factorization

Prime Factorization of 221 it is expressing 221 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 221.

Since number 221 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 221, we have to iteratively divide 221 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 221:

The smallest Prime Number which can divide 221 without a remainder is 13. So the first calculation step would look like:

221 ÷ 13 = 17

Now we repeat this action until the result equals 1:

17 ÷ 17 = 1

Now we have all the Prime Factors for number 221. It is: 13, 17

Prime Factor Tree of 221

We may also express the prime factorization of 221 as a Factor Tree:

Prime factors of 221 factorization tree of 221

Prime Factorization Table

NumberPrime Factors
2, 103
32 × 23
24 × 13
11, 19
2, 3, 5, 7
211
22 × 53
3, 71
2, 107
5, 43
23 × 33
7, 31
2, 109
3, 73
22 × 5 × 11
13, 17
2, 3, 37
223
25 × 7
32 × 52
2, 113
227
22 × 3 × 19
229
2, 5, 23
3, 7, 11
23 × 29
233
2 × 32 × 13
5, 47

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 221? (The answer is: 13, 17). Pick the number for factorization (e.g. '221'). 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 221?

Prime Factors of 221: 13, 17

How many prime factors does 221 have?

Number 221 has 2 Prime Factors