All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this.
Example: 210
210 Divide by two.
105,2 Divide by three.
35,3,2 Divide by five.
7,5,3,2 Stop. All the factors are prime.
2 x 3 x 5 x 7 = 210
That's the prime factorization of 210.
Prime factorization is writing a composite number as a product of prime numbers.
Expressing a composite number as a product of its prime factors
No not always because composite numbers can be the product of 2 or more prime factors
composite
A composite number.
Expressing 15 as a product of its primes is 3 x 5 = 15 Composite numbers can be broken down into a product of prime numbers.
A prime factorization is the same as expressing a composite number as the product of its prime factors. Prime numbers don't have factorizations; they're already prime.
Prime factorization is writing a composite number as a product of prime numbers.
composite
A composite number.
Yes, of course. In fact the product of any two numbers is composite unless one of them is 1.
Expressing a composite number as a product of its prime factors
Showing a composite number as a product of prime numbers is called prime factorization.
No not always because composite numbers can be the product of 2 or more prime factors
I believe it is. A composite number is a number that is the product of two other numbers multiplied, isn't it?
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.
Product of two prime numbers is a composite number. e.g. 2 x 3 = 6, 3 x 17 = 51 etc. But, why the result is a composite number? Definition of composite number makes it much clear: A number which can be expressed as the product of prime numbers is called a composite number. Also, it has more than two factors. So, product of two primes is a composite number.