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The sum of any two prime numbers is not always a composite number. The sum of 2 and 11 is 13, and 13 is a Prime number, not a composite number.

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Q: Is the sum of any two prime numbers always a composite number?

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The product of two prime numbers is always a composite number, and it never is a prime number.

the two prime numbers will be factors of that number, which would make that number a composite number

That is correct.

Not always as for example 20+9 = 29 which is a prime number

The only prime number in the 90s is 97. So out of ten numbers one is a prime number and the remaining nine numbers are composite numbers. So 90s comprises of both prime numbers and composite numbers.

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The product of two prime numbers is always a composite number, and it never is a prime number.

the two prime numbers will be factors of that number, which would make that number a composite number

No not always because composite numbers can be the product of 2 or more prime factors

Yes

76 is a composite number. All even numbers, except for 2, are always going to be composite. A prime number is a number that can only be multiplied by 1.

You could try dividing by composite numbers but the number that you are testing is divisible by a composite number, then it will be divisible by a prime factor of that composite number and that prime factor will be smaller. It is always easier to work with smaller numbers.

No, You can't change a composite number to prime number.

No composite numbers are prime. A composite number is a number that can be made by multiplying other numbers. A prime number is made only by one and itself. Therefore no number can be both prime and composite

Prime factorization never includes a composite number. All numbers in prime factorization must be prime numbers.

That is correct.

it is a composite number because you can tell from the 8 that it is an even number, and even numbers can always be divided.

Prime factorization is writing a composite number as a product of prime numbers.