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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.

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

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False

If you mean factors then it is true because a composite number has more than two factors.

is every multiple of five a composite number true or false

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.

No. If you multiply any numbers, those numbers are factors of whatever product you get. Therefore, this product is a composite number; it has atleast the two factors you multiplyed before. Compposite numbers are never prime. If the two factors above were prime, you would still end up with a composite number. For example: 3 times 5 equals 15. The factors of 15 are 1, 3, 5, and 15. 15 is composite. 7 time 51 equals 357. The factors of 357 are 1, 7, 51, and 357. 357 is composite.

Related questions

False

Any two prime numbers are relatively be prime?

It is not possible to explain a false proposition.

false sometimes it contains 2 primes it always comes out to a prime number

If you mean factors then it is true because a composite number has more than two factors.

Yes. They are all divisible by '2'

is every multiple of five a composite number true or false

False. 2 x 5 = 10

False. Example, 67 x 1 = 67 (67 is prime).

It is true (as long as there are no decimal places after the ones place) because those numbers will always be divisible by 2, 5, and 10. With exception of the number zero which is neither prime nor composite.

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.

True - but the statement is also true for all prime numbers, so is not a particularly useful statement.