The largest known Prime number is 17,425,170, although technically, there is no largest possible prime number. To this day, mathematicians are still searching for higher prime numbers.
The prime factorization.
When all the factors are prime.
the longest string of prime factor for 30 is 2 x 3 x 5
The prime factorization.
On Jan. 25, 2013, the largest known prime number, 257,885,161-1, was discovered on Great Internet Mersenne Prime Search (GIMPS) volunteer Curtis Cooper's computer. The new prime number, 2 multiplied by itself 57,885,161 times, less one, has 17,425,170 digits.
As of 2015, the longest prime number known ends in 1.
There is only one prime factorization string for each number, so there is not a "longest" one. Since 239 is a prime number, its prime factorization is 239.
The prime factorization.
Over/about 13 million digits! wow that's a long number! if you wanna see it, go to www.math.Utah.edu/~pa/math/largeprime.HTML
The prime factorization
The longest factor string of any composite number is its prime factorization.
It is: 99,999 and its prime factors are 3, 41 and 271
When all the factors are prime.
All of the factors are prime.
What is the longest prime factorization of 50?
For composite numbers, only one string of factors is the longest; the prime factorization.
When each one of them is a prime.