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.
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.
Usually it's 1, unless the composite number is a multiple of the prime number. Then, it's the prime number.
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.