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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.
What composite numbers greater than fifteen?
It is 16 because a composite number always has more than 2 factors
Are all composite numbers the product of two prime number?
No not always because composite numbers can be the product of 2 or more prime factors
What do you call numbers with more than two factors?
All numbers greater than 1 have at least two factors. That is because the number can always divide by 1 and itself. If a number has only 2 factors, it is called a prime number. Otherwise, it is called a composite number.
Do greater numbers have more prime factors than lesser numbers?
Not always but on average, yes.
How do you know that the product of any two numbers greater than i must be a composite number?
Prime numbers have only two factors: one and themselves. By definition, your product would have more than that: one, the product and at least the two numbers that created the product. It has to be composite.
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.
Is any number ending in 2 is a composite?
No, not all numbers ending in 2 are composite. However, if a number ends in 2 and is greater than 2, it is always even and therefore not prime.
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.
To find a composite number why divide by prime numbers?
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.
