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Why any prime numbers and composite number always be a composite number?
If you mean the product, that's by definition. A composite number has smaller factors. If you multiply two positive integers, none of which is 1, together, then it follows that the product has smaller factors - namely, the numbers you multiplied together.
Is the sum of any two prime numbers always a composite number?
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.
Is the gcf of two numbers are always composite number?
Not necessarily.
Is the sum of two composite numbers also composite?
Not always as for example 20+9 = 29 which is a prime number
When you multiply two prime numbers you always get answer with prime number?
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.
