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Relatively prime Are the following statements correct? If two integers are relatively prime, they are both prime numbers If two integers are relatively prime, at least one of them is a prime number If two integers are prime numbers, they are relatively prime If two integers are odd numbers, they are relatively prime If two integers are relatively prime, they are both odd numbers If two integers are relatively prime, at least one of them is an odd number

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00:35

Determine whether the number is prime, composite, or neither.Are all prime numbers odd? Explain.

00:37

Determine whether the number is prime, composite, or neither.Are all odd numbers prime? Explain.

01:31

NUMBER THEORY Two numbers are relatively prime if their only common factor is $1 .$ Determine whether the numbers in each pair are relatively prime. Write yes or no.20 and 25

01:30

NUMBER THEORY Two numbers are relatively prime if their only common factor is $1 .$ Determine whether the numbers in each pair are relatively prime. Write yes or no.27 and 18

01:37

NUMBER THEORY Two numbers are relatively prime if their only common factor is $1 .$ Determine whether the numbers in each pair are relatively prime. Write yes or no.7 and 8

Transcript

Here in this question, we are going to discuss about the statement, so a statement is given that, if 2 integrals are relatively prime, then that both to our prime numbers, so this statement is false, because, if 2, relatively prime numbers are those number whose common factor is 1, so it is not necessarily that both of 2 are prime number, let’s say 9 and 49 is the prime number, but 4 is not, and their common factor is 1, as they are relatively prime, so first is false. Next statement is given if 2 integers are relatively prime, at least 1 of them is a prime number, so this statement is also false. Let’S say we are having 9 and 5 both are. We can say that odd numbers so, and we can say that this is also 4 statement. Next statement is given. If 2 integers are prime, then they are relatively prime, so…

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