Prime Factorization of 213

What is the Prime Factorization of 213?

Answer: Prime Factors of 213: 3, 71

Explanation of number 213 Prime Factorization

Prime Factorization of 213 it is expressing 213 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 213.

Since number 213 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 213, we have to iteratively divide 213 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 213:

The smallest Prime Number which can divide 213 without a remainder is 3. So the first calculation step would look like:

213 ÷ 3 = 71

Now we repeat this action until the result equals 1:

71 ÷ 71 = 1

Now we have all the Prime Factors for number 213. It is: 3, 71

Prime Factor Tree of 213

We may also express the prime factorization of 213 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 213? (The answer is: 3, 71). Pick the number for factorization (e.g. '213'). 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
2 × 32 × 11
199
23 × 52
3, 67
2, 101
7, 29
22 × 3 × 17
5, 41
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

FAQ

What is the Prime Factorization of 213?

Prime Factors of 213: 3, 71

How many prime factors does 213 have?

Number 213 has 2 Prime Factors