Ask your own question, for FREE!
Mathematics 14 Online
OpenStudy (anonymous):

what is the prime factorication of 9 and 12

OpenStudy (anonymous):

18

OpenStudy (anonymous):

ok thanks but it it says find the lcm of each pair of numbers what do i do?

OpenStudy (anonymous):

What, 18??

OpenStudy (anonymous):

For 9 is 9,18,27,36,45,54,63 and 12 is 12,24,36,48,54,63,72

OpenStudy (anonymous):

Cinty, the prime factorization of a number is writing it as the product of prime numbers. For example, 9 = 3x3, so the prime factorization of 9 is 3,3, 12 = 2x2x3, so the prime factorization of 12 is 2,2,3

OpenStudy (anonymous):

hi im the one who posted the question

OpenStudy (anonymous):

Hey

OpenStudy (anonymous):

yeah i know but here it says USE THE PRIME FACTORICATTION TO FIND THE LCM OF EACH SET OF NUMBERS 4 AND 5 AND 6 AND 7 SOMEONE PLEASE HELP EXPLAI IT TO ME HELP

OpenStudy (anonymous):

Cinty, relax. The LCM is the least common multiple. For 9 and 12, you look at the prime factorization of each (3,3, and 2,2,3) and if there is a number which appears in both, you can erase it from the one where the number appears a smaller number of times. In this case, 3 appears in the prime factorization of both 9 and 12, so we remove it from the prime factorization of 12. This gives us 3,3 and 2,2. So our answer for lcm is 3x3x2x2 which is 36

OpenStudy (anonymous):

OK THANKS HEY ARE YOU A GIRL OR GUY

OpenStudy (anonymous):

LUSMINER im sorrrrry sorrry help me omg im cring right now help me

OpenStudy (anonymous):

Cinty, what are you talking about? Relax!

OpenStudy (anonymous):

ITS BECUSE IT WAS NOT 9 AND 12 IT WAS SUPOSED TO BE 21 UGHHH

OpenStudy (anonymous):

ok.. calm down and write in lowercase, it's easier to read. You mean what is the lcm of 9 and 21?

OpenStudy (anonymous):

yes put look at the directions list the mutiples to find the lcm of 9 and 21

OpenStudy (anonymous):

Ok, well. You know how to do that now. Tell me what is the prime factorization of 9, and the prime factorization of 21

OpenStudy (anonymous):

for 3 its /33/

OpenStudy (anonymous):

you mean for 9 its 3,3. Yes

OpenStudy (anonymous):

and for 21?

OpenStudy (anonymous):

oh yeah

OpenStudy (anonymous):

21?

OpenStudy (anonymous):

i really dont know im sorry

OpenStudy (anonymous):

Ok, so let's think. To find the prime factorization of a number, you have to write it as the product of prime numbers. Can you tell me 2 numbers that if you multiply them you get 21?

OpenStudy (anonymous):

you can do this

OpenStudy (anonymous):

3 times seven

OpenStudy (anonymous):

Perfect. and both 3 and 7 are prime. So the prime factorization of 21 is 3,7

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

ok, so now we have 9 : (3,3) and 21 : (3,7)

OpenStudy (anonymous):

Do you notice any number that shows up in both sets?

OpenStudy (anonymous):

thank u hey wanna do another one

OpenStudy (anonymous):

3

OpenStudy (anonymous):

not done yet cinty!

OpenStudy (anonymous):

ok hey you see 3 two times

OpenStudy (anonymous):

good, now, do you remember what the next step is? (scroll up if you don't)

OpenStudy (anonymous):

mutiply them all together

OpenStudy (anonymous):

yes, but before you do that, you have to remove the 3 from the set which has fewer 3s

OpenStudy (anonymous):

so i erase it

OpenStudy (anonymous):

Remember, our sets right now are (3,3) and (3,7)

OpenStudy (anonymous):

yes, so which 3 are you erasing? and what do your sets look like now?

OpenStudy (anonymous):

the top one i have 3 threes right right now i have 3, 3,7

OpenStudy (anonymous):

excellent. Now you can multiply :-)

OpenStudy (anonymous):

ok now i have 3 ,3,7 correct

OpenStudy (anonymous):

yes.. go on

OpenStudy (anonymous):

ok yay were done hey do you live in tx

OpenStudy (anonymous):

we're not done cinty!! You still have to multiply these numbers so we can have an answer that is one number!

OpenStudy (anonymous):

ok so 3times 3 times 7 =

OpenStudy (anonymous):

= ...?

OpenStudy (anonymous):

63

OpenStudy (anonymous):

very good. that is the lcm of 9 and 21

OpenStudy (anonymous):

ok so wanna do one or two more

OpenStudy (anonymous):

I want to watch you do 2 more :-)

OpenStudy (anonymous):

ok sure correct me if i did it wrong ok

OpenStudy (anonymous):

sure thing

OpenStudy (anonymous):

go ahead

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

18 and 24

OpenStudy (anonymous):

step one what times what equals 18 right

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

there is a problem 2 3 689 hve 18 in them what do i do

OpenStudy (anonymous):

what do you mean?

OpenStudy (anonymous):

2 has 18 3 has 18 9 has 18 in them

OpenStudy (anonymous):

I don't understand what you mean by "has 18 in them" .. all you need is to find two numbers that multiplied by each other give you 18

OpenStudy (anonymous):

ok well2 times 9 = 18

OpenStudy (anonymous):

good. Now, 2 is prime, but 9 is not. So now you need 2 numbers that multiply by each other to give 9

OpenStudy (anonymous):

3 times 3 now what

OpenStudy (anonymous):

now, 3 is a prime number. So you now have 3 prime numbers! 2, 3, 3 What we just did looks like this: |dw:1356732459628:dw|

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!