Prime Factorization of 75
What is the Prime Factorization of 75?
or
Explanation of number 75 Prime Factorization
Prime Factorization of 75 it is expressing 75 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 75.
Since number 75 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 75, we have to iteratively divide 75 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 75:
The smallest Prime Number which can divide 75 without a remainder is 3. So the first calculation step would look like:
75 ÷ 3 = 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 75. It is: 3, 5, 5
Or you may also write it in exponential form: 3 × 52
Prime Factor Tree of 75
We may also express the prime factorization of 75 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