jakyfraze
  • jakyfraze
someone please help me :"( What is the prime factorization of 1,260? A. 2 × 3 × 5 × 6 × 7 B. 4 × 5 × 7 × 9 C. 2 × 2 × 3 × 3 × 5 × 7 D. 2 × 3 × 5 × 7
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
jim_thompson5910
  • jim_thompson5910
|dw:1442797970378:dw|
jim_thompson5910
  • jim_thompson5910
to find the prime factorization, we divide by small numbers. let's pick a small number like 2 what is 1260/2 equal to?
jakyfraze
  • jakyfraze
2*630

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jakyfraze
  • jakyfraze
sorry
jakyfraze
  • jakyfraze
630
jim_thompson5910
  • jim_thompson5910
yes, so because 1260 = 2*630, we draw two branches like this |dw:1442798244739:dw|
jim_thompson5910
  • jim_thompson5910
then we do the same with 630 630/2 equals ???
jakyfraze
  • jakyfraze
315
jim_thompson5910
  • jim_thompson5910
|dw:1442798355918:dw|
jim_thompson5910
  • jim_thompson5910
then we do 315/2 = 157.5 which is not a whole number so we try another small number like 3 315/3 = ???
jakyfraze
  • jakyfraze
105 :0
jakyfraze
  • jakyfraze
wow!!
jim_thompson5910
  • jim_thompson5910
|dw:1442798443090:dw|
jim_thompson5910
  • jim_thompson5910
we keep going down the line until everything is broken up into prime numbers
jim_thompson5910
  • jim_thompson5910
what would the complete factor tree look like?
jakyfraze
  • jakyfraze
so 2 2 3 3 5 7?
jim_thompson5910
  • jim_thompson5910
yeah if we keep going, we'd have 105/3 = 35 35/5 = 7 |dw:1442798627134:dw| as you can see, the tree gets big pretty fast. Luckily we're done at this point because we have nothing but primes left.
jim_thompson5910
  • jim_thompson5910
circle the primes then multiply them all out |dw:1442798698121:dw|
jakyfraze
  • jakyfraze
so why did you stop going down on the left?
jim_thompson5910
  • jim_thompson5910
because we can't break up 2 or 3 into smaller pieces. The primes are the "atomic" elements so to speak. I guess we could say 2 breaks down into 2*1, but then we'd be stuck doing that forever. The tree would never end
jim_thompson5910
  • jim_thompson5910
|dw:1442798869349:dw| and so on...
jim_thompson5910
  • jim_thompson5910
so that's why 1 is left out of the factor tree
jim_thompson5910
  • jim_thompson5910
1 is NOT a prime number
jakyfraze
  • jakyfraze
ohh so your saying that if the left side had a 3 it would go down anther step instead of 1 step like the 2?
jim_thompson5910
  • jim_thompson5910
yeah 3 is also prime so we can't break that down any further. If we include 1 as a factor, then we'd be at it forever
jakyfraze
  • jakyfraze
hmm. were can i go to learn about this a little more
jakyfraze
  • jakyfraze
i really want to learn this more because i new to this
jim_thompson5910
  • jim_thompson5910
this page has good tutorial and example http://study.com/academy/lesson/what-is-a-factor-tree-definition-example.html
jim_thompson5910
  • jim_thompson5910
That's good you want to learn more about it. Let me know if the page helps or not. If not, then I'll find another page
jim_thompson5910
  • jim_thompson5910
and if you want, we can do another example
jakyfraze
  • jakyfraze
yes pleas.
jakyfraze
  • jakyfraze
I'm going to checkout the website to
jim_thompson5910
  • jim_thompson5910
ok pick any number you like that's relatively small, but big enough to factor
jakyfraze
  • jakyfraze
composite number prime factors, what are the difference?
jim_thompson5910
  • jim_thompson5910
a composite number is a number that can be factored into smaller primes eg: 10 is composite because 10 = 2*5 2 and 5 are prime numbers. They cannot be factored into anything but 1 and themself 2 = 2*1 and that's it 5 = 5*1 and that's it
jim_thompson5910
  • jim_thompson5910
so think of "composite" as "composed of other smaller things" like composite wood
jim_thompson5910
  • jim_thompson5910
|dw:1442799855476:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1442799888145:dw|
jim_thompson5910
  • jim_thompson5910
here is a cool interactive lesson to play with http://www.mathplayground.com/factortrees.html click on the "find the prime factorization of 1 number", then you'll be led to an interactive prompt where you type in the numbers to factor various numbers
jakyfraze
  • jakyfraze
oh my god THANK YOU. so how is the circle numbers prime?
jim_thompson5910
  • jim_thompson5910
well we cannot factor a number like 2 any further. When I say "factor" I mean "find two whole numbers that multiply to this number" we can say 2 = 2*1, but 1 isn't prime, so we can't break down 2 further. Any primes that you find on the factor tree are circled so you remember to go back and use them in the final multiplication (like you see below) |dw:1442800545730:dw|
jim_thompson5910
  • jim_thompson5910
3, 5 and 7 are prime for the same reasons as 2 is for 3, the only two numbers that multiply to 3 are 3 and 1. There are no other factors. So 3 is prime. Same for 5 and 7
jakyfraze
  • jakyfraze
ohhh thank you, how did you know all of this? thank you @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
Lots and lots of practice. You'll get better at it by practicing it as much as possible.
jim_thompson5910
  • jim_thompson5910
and you're welcome
jakyfraze
  • jakyfraze
i will. can i ask another question?
jakyfraze
  • jakyfraze
because i think i got the hang of it :)
jakyfraze
  • jakyfraze
@jim_thompson5910 i will. can i ask another question? i think i got the hang of it :)
jim_thompson5910
  • jim_thompson5910
go ahead
jakyfraze
  • jakyfraze
thank you :). What are the prime factors of 700? A. 350 × 2 B. 2 × 2 × 2 × 5 × 5 × 7 C. (2 × 2 × 5 × 5 × 7) My answer D. 2 × 2 × 25 × 7
jim_thompson5910
  • jim_thompson5910
2 × 2 × 5 × 5 × 7 is correct. Nice job
jakyfraze
  • jakyfraze
What are the prime factors of 625? A. 1, 5, 5, 5, 5 B. (5, 5, 25) My answer C. 5, 5, 5, 5 D. 25, 25
jakyfraze
  • jakyfraze
yes!!! I'm going to continue practicing, to be like you :)
jim_thompson5910
  • jim_thompson5910
25 is NOT prime. Why? because it can be factored further 25 = 5*5
jakyfraze
  • jakyfraze
lol sorry i meant lol
jakyfraze
  • jakyfraze
What are the prime factors of 625? A. 1, 5, 5, 5, 5 B. 5, 5, 25 C. (5, 5, 5, 5) My answer D. 25, 25
jakyfraze
  • jakyfraze
the last one was an accident hahah sorry
jim_thompson5910
  • jim_thompson5910
yep because 625 = 5*5*5*5
jim_thompson5910
  • jim_thompson5910
there are 4 copies of 5 being multiplied, we can use this shortcut \[\Large 625 = 5*5*5*5 = 5^4\]
jakyfraze
  • jakyfraze
oh my go was just doing something like that
jakyfraze
  • jakyfraze
What is the value of 7 to the fifth power? A. 2,401 B. (16,807) My answer C. 35 D. 78,125
jakyfraze
  • jakyfraze
What is the value of 5.7 × 108? A. 57,000,000 B. (570,000,000) My answer C. 5,700,000,000 D. 5.70000000
jim_thompson5910
  • jim_thompson5910
yep 7^5 = 16807
jim_thompson5910
  • jim_thompson5910
and yes, 5.7 * 10^8 = 570,000,000 570,000,000 = 570 million
jakyfraze
  • jakyfraze
oh my god I'm so happy right now :D. Thank you for everything you where a really big help for me,
jakyfraze
  • jakyfraze
im loving math right now lol
jim_thompson5910
  • jim_thompson5910
I'm glad you're loving math now
jakyfraze
  • jakyfraze
yeah! so the last question was right too?
jim_thompson5910
  • jim_thompson5910
the 570,000,000 one? yes it was
jakyfraze
  • jakyfraze
oh man thank you :'). I'm about to submit my exam :D
jakyfraze
  • jakyfraze
@jim_thompson5910 i got a 100!! thank you thank thank you. and god bless you :)

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