Prime Factorization of 210
What is the Prime Factorization of 210?
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:
Related Calculations
See Also
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Is number a Prime - Find out whether a given number is Prime or not
- Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between
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Prime Factorization Table
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself