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Q: Is every multiple next to a multiple of six always a prime number?

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As long as the other number is not a multiple of the prime number, the GCF will always be 1.

Because if they were even they would be a multiple of 2 and thus not prime.

Yes except 7 itself which is a prime number

No, it is not possible. Every multiple of 21 is a composite number. 21 is a composite number and its factors are 1, 3, 7 and 21(4 factors). Any multiple of 21 must have all the factors of 21. So, every multiple of 21 has at least 4 factors. And a prime number has only two factors so, any multiple of 21 can't be prime.

so for example: The LCM of 2 and 3 The answer is 6 The answer is always prime numberxthe other prime number

No, you can easily see that this is an even number, so it is a multiple of 2.2 IS A PRIME NUMBER!!Any number that is a multiple of a prime number is NOT a prime.

No there isn't. every perfect square number can be factored into prime number. At their factoration you'll always have multiples of two on the primes exponent. Therefore you'll multiply a prime raised to a 2-multiple number with another prime raised to a 2-multiple number wich gives you also a number that factored gives you a product of prime numbers raised to a 2-multiple number and so, a perfect square.

No, only if the numbers are relatively prime.

There is not a multiple of 7 that is prime.

Yes, they are.

Yes that is correct

number is both a prime number and a multiple of 5 = 5

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