Prime Factorization of 210

What is the Prime Factorization of 210?

Answer: Prime Factors of 210: 2, 3, 5, 7

Explanation of number 210 Prime Factorization

Prime Factorization of 210 it is expressing 210 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 210.

Since number 210 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 210, we have to iteratively divide 210 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 210:

The smallest Prime Number which can divide 210 without a remainder is 2. So the first calculation step would look like:

210 ÷ 2 = 105

Now we repeat this action until the result equals 1:

105 ÷ 3 = 35

35 ÷ 5 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 210. It is: 2, 3, 5, 7

Prime Factor Tree of 210

We may also express the prime factorization of 210 as a Factor Tree:

Prime factors of 210 factorization tree of 210

Prime Factorization Table

NumberPrime Factors
3, 5, 13
22 × 72
197
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

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 210? (The answer is: 2, 3, 5, 7). Pick the number for factorization (e.g. '210'). 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 210?

Prime Factors of 210: 2, 3, 5, 7

How many prime factors does 210 have?

Number 210 has 4 Prime Factors