Prime Factorization of 189
What is the Prime Factorization of 189?
or
Explanation of number 189 Prime Factorization
Prime Factorization of 189 it is expressing 189 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 189.
Since number 189 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 189, we have to iteratively divide 189 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 189:
The smallest Prime Number which can divide 189 without a remainder is 3. So the first calculation step would look like:
189 ÷ 3 = 63
Now we repeat this action until the result equals 1:
63 ÷ 3 = 21
21 ÷ 3 = 7
7 ÷ 7 = 1
Now we have all the Prime Factors for number 189. It is: 3, 3, 3, 7
Or you may also write it in exponential form: 33 × 7
Prime Factor Tree of 189
We may also express the prime factorization of 189 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