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Any two different prime numbers are relatively prime because relatively prime numbers are sets of two or more numbers having 1 as their greatest common factor.

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โˆ™ 2012-05-14 09:36:39
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Q: Is it true that two different prime numbers are relatively prime?
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Related questions

Are two compiosite numbers relatively prime true or false?

Any two prime numbers are relatively be prime?


Is it true that two distinct prime numbers can are relatively 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.


Is true that two composite numbers are relatively prime?

No it does not mean that.


What is the true of two numbers if one of them is their least common multiple?

They are relatively prime, or co-prime.


Is it true or false that two composite numbers are relatively prime and explain?

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 or false the greatest common factor of two relatively prime numbers is always 1?

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.


What is true about all three pairs numbers 3 and 53 and 7 and 5 and 8?

They are relatively prime.


True or false if two numbers a relatively prime one of the must be 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.


Is it true that prime numbers have to be prime and composite?

No, prime numbers are only prime.


No even numbers are prime numbers true or false?

2 is prime


Is it true that prime numbers can never be even numbers?

No, 2 is prime.


Is the greatest common factor of two different prime numbers is 1 always sometimes or never true?

always true


Is 1 and 1 relatively prime?

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.


If some numbers are Integers and some numbers are prime then all numbers are prime Is this a true or false statement?

false


Are prime numbers infinite sets?

True.


How do you find the least common multiple of two prime numbers?

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.


How Only odd numbers are prime numbers true or false?

False.


If some numbers are integers and some integers are prime then all numbers are definitely prime is this a true statement?

No.


What is true about prime number?

Prime numbers can only be divided by themselves and 1.


Is every number either prime or composite?

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.


Is it true that there are 29 prime numbers from 1 through 100?

There are 25 prime numbers from 1 through 100.


Is it true that the LCM of 2 numbers is the product of the 2 numbers?

Only if the numbers are co-prime.


Why are all prime numbers except 2 are odd?

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.


The sum of prime numbers cannot be a prime true or false?

False - 2 + 11 = 13.


Is it true that all even numbers greater than 2 are prime numbers?

No. None of them are.