Prime Factorization of 168
What is the Prime Factorization of 168?
or
Explanation of number 168 Prime Factorization
Prime Factorization of 168 it is expressing 168 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 168.
Since number 168 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 168, we have to iteratively divide 168 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 168:
The smallest Prime Number which can divide 168 without a remainder is 2. So the first calculation step would look like:
168 ÷ 2 = 84
Now we repeat this action until the result equals 1:
84 ÷ 2 = 42
42 ÷ 2 = 21
21 ÷ 3 = 7
7 ÷ 7 = 1
Now we have all the Prime Factors for number 168. It is: 2, 2, 2, 3, 7
Or you may also write it in exponential form: 23 × 3 × 7
Prime Factor Tree of 168
We may also express the prime factorization of 168 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