Prime Factorization of 30
What is the Prime Factorization of 30?
Explanation of number 30 Prime Factorization
Prime Factorization of 30 it is expressing 30 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 30.
Since number 30 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 30, we have to iteratively divide 30 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 30:
The smallest Prime Number which can divide 30 without a remainder is 2. So the first calculation step would look like:
30 ÷ 2 = 15
Now we repeat this action until the result equals 1:
15 ÷ 3 = 5
5 ÷ 5 = 1
Now we have all the Prime Factors for number 30. It is: 2, 3, 5
Prime Factor Tree of 30
We may also express the prime factorization of 30 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