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.
There is no need to do prime factorization as prime numbers are already prime. You do not need to find the prime numbers that when multiplied together create the number.
77 = 7 × 11
Prime numbers are used to find the product of the prime factors of composite numbers.
prime numbers
simplify it
There is no need to do prime factorization as prime numbers are already prime. You do not need to find the prime numbers that when multiplied together create the number.
All numbers have factors. Some factors are prime numbers, some are composite numbers, one is neither. When finding the factors of a number, you find all the factors. The prime factorization is a multiplication string of just prime factors that will total the given number.
Composite numbers have more than two factors some of which are prime factors but prime numbers themselves have only two factors. A prime number has only 2 factors which are itself and one A composite number has more than 2 factors
To find the prime factorization of a number, start with any factor pair of that number and keep factoring the composite numbers until all factors are prime. 55 5 x 11 = 55 Both factors are prime, so that is the prime factorization.
When you want to find the prime factorization of a composite number.
77 = 7 × 11
There are more composite numbers than prime numbers, but there is no prime or composite number so great that you can't find a greater one of either kind.
The prime factorization of the number 33 is: 3 x 11
Prime numbers are used to find the product of the prime factors of composite numbers.
prime numbers
simplify it
To find the prime factors of 68 start with any factor pair of 68 and keep factoring the composite numbers until all factors are prime: 2 x 34 2 x 2 x 17