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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.
What are the similarities between prime and composite numbers?
Both belong to set of whole numbers. There are infinite prime and composite numbers.
Why will a prime number times a prime number always equal a composite number?
the two prime numbers will be factors of that number, which would make that number a composite number
What is the least common factor for two numbers if there are no common factors greater than 1?
The least common factor for two numbers is always one. The least common multiple for two numbers which have no common factors greater than one is their product.
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.
