Prime Factorization of 120
What is the Prime Factorization of 120?
Answer
or
Explanation of number 120 Prime Factorization
Prime Factorization of 120 is expressing 120 as the product of prime factors. In other words, it is finding which prime numbers should be multiplied together to make 120.
Since number 120 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 120, we have to iteratively divide 120 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 120:
The smallest Prime Number which can divide 120 without a remainder is 2. So the first calculation step would look like:
120 ÷ 2 = 60
Now we repeat this action until the result equals 1:
60 ÷ 2 = 30
30 ÷ 2 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1
Now we have all the Prime Factors for number 120. It is: 2, 2, 2, 3, 5
Or you may also write it in exponential form: 23 × 3 × 5
Prime Factor Tree of 120
We may also express the prime factorization of 120 as a Factor Tree:
Related Calculations
See Also
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Is a Number 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