How do you break down prime factorization?

Answer 1

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.

Answer 2

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.

Answer 3

Use a factor tree.

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.

Answer 4

You can not factor prime numbers, that is why they are prime numbers

Answer 5

Prime factorization is a common mathematical tool. One uses prime factorization to determine what prime factors of any given number are. One can practice this tool online.

Answer 6

The whole point of Prime number is that it CANNOT be factored , except by itself or '1'.

Numbers that can be factored are referred to as compound numbers.