2 x 5 x 5 = 50
2 x 2 x 5 = 20
567
The prime factorization of a composite number is a string of prime numbers. 2 x 3 x 5 = 30
All numbers have factors. Some factors are prime numbers, some are composite numbers, one is neither. When finding the factors of a number, you find all the factors. The prime factorization is a multiplication string of just prime factors that will total the given number.
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.
A factor string consists of any factors (except 1) that multiply to equal the number. Prime factorization consists of only prime numbers that multiply to equal the number. In the case where the factors of the original number consists only of primes, there is no difference.
For composite numbers, only one string of factors is the longest; the prime factorization.
Factor strings don't necessarily have to be composed entirely of prime numbers. But the longest factor string, the one that is entirely prime numbers, that's the prime factorization.
The prime factorization.
Shorter factor strings aren't composed entirely of prime numbers.
The prime factorization
No. Any factor string of a negative number would have to include at least one negative number and there aren't any negative prime numbers.
No. Any factor string of a negative number would have to include at least one negative number and there aren't any negative prime numbers.