How do you prime factorization?

Answer 1

To find the prime factorization of a number, divide the number by each Prime number up to the greatest prime that will go into the number leaving no remainder.

As an example, this is the process for factorization of 648:

648/2=324

324/2=162

162/2=81

81/3=27

27/3=9

9/3=3

3/3=1

Listing each divisor as a prime factor, the prime factorization of 648 is 2x2x3x3x3x3 (or 23x34 in exponential form).
Keep dividing the original number by prime numbers until all the factors are prime. A large majority of the numbers you will encounter are multiples of 2, 3, 5 and/or 7. Start there.
well first of all you need to know what prime factorization means: prime factorization is the process of decomposing a number into its constituent prime numbers; the calculation of all prime factors in a number. Step 1: write your number down and draw 2 diaganal lines down on each side no w you will need to find to factors that will multiply equally to get the number. say you had 10 the two numbers would be 2 * 5= 10, 2 is prime and 5 is prime so you cirle both of them and your prime factorization would be 10=2x5 and that is how you do prime factorization. EX. BELOW

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

Prime factors are prime numbers that have only two factors which are themselves and one.

The first ten prime numbers are: 2 3 5 7 11 13 17 19 23 and 29