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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.

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7y ago
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7y ago

Because their product can be divided by the Prime number, the composite number as well as any factors of the composite number.

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Q: Why any prime numbers and composite number always be a composite number?
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Related questions

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.


When is product of 2 prime numbers a prime number?

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


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


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


Is the product of 2 prime numbers always a composite number?

Yes


Is 76 composite or prime?

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.


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.


Name the two composite numbers that are prime?

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


Can you change composite numbers to prime numbers?

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


Is 308 a prime or composite number?

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.


When you multiply two prime numbers the result is always a composite number?

That is correct.


Does the prime factorization of any composite number include prime and composite numbers?

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