it means to find out if the number is composite or prime
Type the words "prime numbers chart" into the search engine on your computer.
You do a factor rainbow to find a prime factorization. You compare prime factorizations to find a greatest common factor.
A number is prime when it only has one and itself as factors is prime. Therefore, to tell if a number is prime or composite simply find it's factors. If it has more than two factors than it is not a prime number, it is composite.
Factor strings are multiplication sentences. You can take any factor pair, put a multiplication symbol between them and you have a factor string. The longest factor string for any composite number is the prime factorization. All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime. 2 x 3 x 5 x 7 = 210 That's the prime factorization of 210. And the longest factor string.
to help find prime factorizations of composite numbers
When you want to find the prime factorization of a composite number.
it means to find out if the number is composite or prime
Factor it. If it has only two factors, it's prime. If it has more than two, it's composite.
Factor it. Prime numbers have two factors, composite numbers have more than two.
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.
Whatever composite number you're trying to find the prime factorization of.
Factor it. Once you find a third factor, it's composite.
GCF of a prime number and a composite number is 1 if the prime number is not a factor of the composite number. Here 103 is a prime number and 120 is a composite number. And 120 is not divisible by 103(or 103 is not a factor of 120). So, GCF(103,120) = 1
Start looking for factors; you already know that 1 is a factor, and that the number itself is a second factor (unless the number is 1). As soon as you find a factor that is neither 1 nor the number itself, the number is composite. If you find exactly two factors, the number is prime. If the number has only one factor, the number is 1, which is neither prime nor composite.
Factor it. Prime numbers have two factors, composite numbers have more than two.