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Q: Is it true that two different prime numbers are relatively prime?

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Any two prime numbers are relatively be prime?

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.

No it does not mean that.

They are relatively prime, or co-prime.

Two composite numbers may or may not be relatively prime, depending on their factors. Relatively prime numbers are sets of two or more numbers having 1 as their greatest common factor (gcf). All even numbers have 2 as a common factor, so no even number is relatively prime with any other even number.

True. By definition for two numbers to be relatively prime they must not share any common factors. So their greatest (and only) common factor would be 1.

They are relatively prime.

False. Consider 4 and 9. Neither are prime, but they have no common factors other than 1 and are therefore relatively prime. More generally, any two numbers p^n and q^n where p, q both prime and n<>p or q and n>1 are relatively prime. This is by no means all pairs of relatively prime numbers, but it's an easy way to find examples where neither of the pair is prime.

No, prime numbers are only prime.

2 is prime

No, 2 is prime.

always true

Yes, 1 and 1 are relatively prime. Any two integers are relatively prime if their greatest common divisor is 1. This is certainly true of 1 and 1.

false

True.

Since two primes obviously have no common factors greater than 1, you find the least common multiple by multiplying them together. This is true for any pair of numbers with no common factors greater than 1., not just prime numbers. Two numbers with no common factors greater than one are called relatively prime. For example, 8 and 9 are relatively prime even though both are composite numbers.

False.

No.

Prime numbers can only be divided by themselves and 1.

No. It IS true that every whole number is either prime or composite. But there are numbers that are not whole numbers, such as 2.5, which are neither prime nor composite.

There are 25 prime numbers from 1 through 100.

Only if the numbers are co-prime.

This is because they are only two factors in that number. It may seem to you that all prime numbers odd, but it is not true. Most of them however, are prime numbers. This is why most of the odd numbers are prime numbers.

False - 2 + 11 = 13.

No. None of them are.