Question

how to do prime factorization

Answer 1

Tell you what. I'll do one in detail and then one more. You can do the rest by yourself so that you actually know how to do it for the future. Cool? Alright.

To prime factorize a number, you have to use a tree-like formation. 72 would be at the top. First, you usually always use 2 as the first factor. You would find what times 2 is equivalent to 72.

72
^ ^
2 36

Alright, so you can divide 72 by 2 to find the answer which would be 36. Now you have to get all the numbers down to a prime number (a number that's divisible by only 1 and itself) hence the name PRIME factorization. 36 is not a prime number since it is divisible by numbers other than one and itself. You'll want to keep on going with 2 until you can't. Then you'd switch to a larger number.

72
^ ^
2 36
^ ^
2 18-Is 18 a prime number? No, so you've got to keep going.
^ ^
2 9-Still, not a prime number.
^ ^
3 3

Now you see that once 9 is divided by 3, you finally come to a prime number. That's the prime factorization of 72. Note that at the end, I stopped using 2 because 9 can't be divided by 2 and come out with a whole number, so you have to use 3. Never jump from 2 to another number though.

Now here's one without such detailed explanation:
100
^ ^
2 50 - Not yet prime.
^ ^
2 25 - Not yet prime.
^ ^
5 5 - Prime. Note change from 2 to 5 since 25 divided by 2 comes out with a decimal number which you don't want.

Hope you can figure out the rest!

Answer 2

Answer:

ok so to do the prime factorization of any number you first have to no water prime factors like

2, 3 ,5,7,11,13 ,17

now suppose a number is there you just have to divide it with the prime numbers only and the prime factorization will come.