Yes.
Yes. Any composite number can be expressed as a product of prime factors.
Yes.
The fundamental theorem of arithmetic says any integer can be factored into a unique product of primes. The is the prime factored form.
A composite is any number that has a prime factor smaller than itself and greater than 1.
Any number that isnot a prime,not a factor of the composite numbercannot appear in the prime factorisation of a composite number.
Any factor that isn't prime.
Yes. The Fundamental Theorem of Arithmetic states that every composite number has one and only one prime factorization; the above is one expression of this fact.
The longest factor string of any composite number is its prime factorization.
Usually it's 1, unless the composite number is a multiple of the prime number. Then, it's the prime number.
There is no such number. All numbers have a common factor of 1, which is neither prime nor composite. Any composite number can be reduced to its prime factors.
Composite, because it has more than just one factor. Any number (except 5) that ends in 5 is composite.
You could try dividing by composite numbers but the number that you are testing is divisible by a composite number, then it will be divisible by a prime factor of that composite number and that prime factor will be smaller. It is always easier to work with smaller numbers.