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Q: Is every multiple next to a multiple of six always a prime number?
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Why is every prime number greater then 2 an odd number?

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


Is there a prime number that is a multiple of 21?

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.


Is there a product of two perfect squares that is not a perfect square?

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.


Is every multiple of seven a composite number?

Yes except 7 itself which is a prime number


What happens when you find the the GCF with prime factorization but there is only one number in common?

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


Is every 2 digit multiple of 6 is next to a prime number?

Yes that is correct


Is every 2-digit multiple of 6 is next to a prime number?

Yes, they are.


Is 2008 a 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.


What prime number can you make out of 0123456789?

Every 9-digit combination of those numbers is a multiple of 3. None of them will be prime.


What is the least common multiple of 20 and 41?

LCM of a prime number and a composite number is always equal to their product if the composite number is not a multiple of the prime number. Here, 41 is a prime number and 20 is a composite number. Therefore LCM(20,41) = 20 x 41 = 820


Why is every multiple of 5 a composite number?

Not all (5 is prime) but every multiple of 5 greater than 5 is composite because they have more than two factors. Every multiple of any integer greater than one is composite.


What is a multiple of 7 that is a prime number?

There is not a multiple of 7 that is prime.