One.By definition numbers are:prime if they have only 2 distinct factors (namely 1 and the number itself);composite if they have 3 or more distinct factorsThe important thing to note is the word distinct. The number 1 has only 1 distinct factor, namely 1; thus it is neither a prime (the first prime number is 2) nor composite.
All numbers have a common factor of 1. Sometimes that's the only common factor.
It is true. Two numbers are relatively prime if they do not have any factors in common greater than 1. A prime number has only two factors - 1 and itself. Thus, two different prime numbers will only have 1 as a common factor, which means they are relatively prime.
Prime Numbers
Yes because 1 is a factor of any prime number. In fact, 1 is always the gcd (same as gcf) of any two distinct prime numbers.
Squares (or cubes or more) of prime numbers have one distinct prime factor, but if you're counting them individually, all composite numbers have at least two prime factors.
It will always be 1.
The only number with one factor is 1.
That depends on the numbers. The GCF of any two prime numbers is 1.
The difference is between factor pairs and distinct factors. With square numbers, one of the factor pairs will be the same number twice. When listing the distinct factors, that number is only listed once.
Yes.
Every whole number has at least one prime factor.With the possible exception of ' 1 ', whose only factor is ' 1 ' andisn't considered a prime number.
One.By definition numbers are:prime if they have only 2 distinct factors (namely 1 and the number itself);composite if they have 3 or more distinct factorsThe important thing to note is the word distinct. The number 1 has only 1 distinct factor, namely 1; thus it is neither a prime (the first prime number is 2) nor composite.
All numbers have a common factor of 1. Sometimes that's the only common factor.
The factors of 3 are 1 and 3.
The only common factor of these numbers is 1.
It is true. Two numbers are relatively prime if they do not have any factors in common greater than 1. A prime number has only two factors - 1 and itself. Thus, two different prime numbers will only have 1 as a common factor, which means they are relatively prime.