Prime Factorization of 144
What is the Prime Factorization of 144?
Answer
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Explanation of number 144 Prime Factorization
Prime Factorization of 144 is expressing 144 as the product of prime factors. In other words, it is finding which prime numbers should be multiplied together to make 144.
Since number 144 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 144, we have to iteratively divide 144 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 144:
The smallest Prime Number which can divide 144 without a remainder is 2. So the first calculation step would look like:
144 ÷ 2 = 72
Now we repeat this action until the result equals 1:
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
Now we have all the Prime Factors for number 144. It is: 2, 2, 2, 2, 3, 3
Or you may also write it in exponential form: 24 × 32
Prime Factor Tree of 144
We may also express the prime factorization of 144 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