Here, we show you a step-by-step solved example of prime factor decomposition. This solution was automatically generated by our smart calculator:
To find the prime factors of , the first step is to divide it with it's smallest prime factor. The smallest prime factor of is the smallest prime which can divide it without leaving any remainder. Trying with the first few primes (2, 3, 5...), we find out that the smallest prime of is . . Then we need to repeatedly divide the quotient by until we get a number that is no more divisible by . Next, we look for the next smallest prime number which can divide it, until we reach .
Dividing by the prime factor (again) gives us
Dividing by the prime factor gives us . We do not need to proceed further as we have obtained as our result
Then, the prime factors of are
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