HELPPPPPPPP! how do u do prime factorization?

Question

it says "USE FACTOR TREES TO WRITE EACH OF THE FOLLOWING COMPOSITE NUMBERS AS THE PRODUCTS THEIR PRIME FACTORS






and the number is 100. what do i do?

Answer 1

make a factor tree

start with 100 at the top

draw two lines from100 and find what you can multiply together to get 100

so you have
....100
..../...\
...2...50

so you have 2 which is prime and you have 50 that is composite

....100
..../...\
...2...50
......./...\
......25..2

so now you have another 2 which is prime so finish the chart

....100
..../...\
...2...50
......./...\
......25..2
...../...\
....5....5

so now you have 2, 2, 5, 5,

so its 2^2*5^2

4*25=100

there ya go check ya later ♥

Answer 2

start with 100 decide what number you can divide it by
you should come up with 10 * 10.
then for each of the 10's you do the same.
You get 5*2 and5*2. both 5 and 2 are prime numbers (neither one can be evenly divided by any number except one. You can rearrange the numbers to5*5*2*2, so the prime factorization is 5^2 * 2^2 or 5raised to the second power times 2 raised to the second power. hope this helps you

Answer 3

ok, what you do, is take out the highest prime number you can
then the next, till you're left with only primes.

lets see if this comes out:
100
5 20
---5 4
-----2 2
so your prime factorization is 5x5x2x2 which equals 100
you consider 2 a prime cause it cant be factored into anything smaller

Answer 4

K is right and i want to add that
u only have to check that
number smaller than sqrt(n) (n = 100 in ur case) = 10
which indicated that no prime factor is bigger than 10 for n =100

since when n is bigger, let's say 1000 is would be troublesome to every number and which also give a indicator how far you should go.

Ryan

Answer 5

This is what they mean...

200
2 · 50
2 · 25
5 · 5

So.. 5·5·2·2

Its easy to start to divide by 2's, and as the number gets smaller, you can work with it

Answer 6

2*5*2*5