Prime Factorization of 245
What is the Prime Factorization of 245?
or
Explanation of number 245 Prime Factorization
Prime Factorization of 245 it is expressing 245 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 245.
Since number 245 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 245, we have to iteratively divide 245 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 245:
The smallest Prime Number which can divide 245 without a remainder is 5. So the first calculation step would look like:
245 ÷ 5 = 49
Now we repeat this action until the result equals 1:
49 ÷ 7 = 7
7 ÷ 7 = 1
Now we have all the Prime Factors for number 245. It is: 5, 7, 7
Or you may also write it in exponential form: 5 × 72
Prime Factor Tree of 245
We may also express the prime factorization of 245 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/245">Prime factors of 245 - Calculatio</a>
Prime Factorization Table
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself