Prime Factorization of 125
What is the Prime Factorization of 125?
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Explanation of number 125 Prime Factorization
Prime Factorization of 125 it is expressing 125 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 125.
Since number 125 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 125, we have to iteratively divide 125 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 125:
The smallest Prime Number which can divide 125 without a remainder is 5. So the first calculation step would look like:
125 ÷ 5 = 25
Now we repeat this action until the result equals 1:
25 ÷ 5 = 5
5 ÷ 5 = 1
Now we have all the Prime Factors for number 125. It is: 5, 5, 5
Or you may also write it in exponential form: 53
Prime Factor Tree of 125
We may also express the prime factorization of 125 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/125">Prime factors of 125 - Calculatio</a>
Prime Factorization Table
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself