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

No, not every two-digit multiple of six is next to a prime number. A multiple of six will always be an even number, divisible by both 2 and 3. Prime numbers, on the other hand, are only divisible by 1 and themselves. Therefore, there will be even numbers that are multiples of six that are not next to prime numbers.


Is the LCM of a prime number and a composite number a multiple of the prime number?

Yes, the least common multiple (LCM) of a prime number and a composite number will always be a multiple of the prime number. This is because the LCM is the smallest number that is a multiple of both numbers. Since the prime number is a factor of itself and the LCM is a multiple of both numbers, the LCM will always be a multiple of the prime number.


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.


Can you explain to me why the multiples of any number other than 1 are not prime numbers?

Sure! The multiples of a number other than 1 will always have at least three factors: 1, the number itself, and the multiple. This means they are not prime numbers, as prime numbers only have two factors: 1 and the number itself. For example, the multiples of 2 will always be divisible by 2, making them composite numbers rather than prime.


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.


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.