A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

jakyfraze

  • one year ago

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

  • This Question is Closed
  1. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1442797970378:dw|

  2. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    to find the prime factorization, we divide by small numbers. let's pick a small number like 2 what is 1260/2 equal to?

  3. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    2*630

  4. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    sorry

  5. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    630

  6. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes, so because 1260 = 2*630, we draw two branches like this |dw:1442798244739:dw|

  7. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    then we do the same with 630 630/2 equals ???

  8. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    315

  9. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1442798355918:dw|

  10. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    then we do 315/2 = 157.5 which is not a whole number so we try another small number like 3 315/3 = ???

  11. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    105 :0

  12. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    wow!!

  13. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1442798443090:dw|

  14. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    we keep going down the line until everything is broken up into prime numbers

  15. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what would the complete factor tree look like?

  16. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so 2 2 3 3 5 7?

  17. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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.

  18. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    circle the primes then multiply them all out |dw:1442798698121:dw|

  19. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so why did you stop going down on the left?

  20. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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

  21. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1442798869349:dw| and so on...

  22. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so that's why 1 is left out of the factor tree

  23. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    1 is NOT a prime number

  24. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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?

  25. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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

  26. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    hmm. were can i go to learn about this a little more

  27. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i really want to learn this more because i new to this

  28. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    this page has good tutorial and example http://study.com/academy/lesson/what-is-a-factor-tree-definition-example.html

  29. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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

  30. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    and if you want, we can do another example

  31. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes pleas.

  32. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I'm going to checkout the website to

  33. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok pick any number you like that's relatively small, but big enough to factor

  34. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    composite number prime factors, what are the difference?

  35. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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

  36. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so think of "composite" as "composed of other smaller things" like composite wood

  37. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1442799855476:dw|

  38. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1442799888145:dw|

  39. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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

  40. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    oh my god THANK YOU. so how is the circle numbers prime?

  41. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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|

  42. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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

  43. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ohhh thank you, how did you know all of this? thank you @jim_thompson5910

  44. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Lots and lots of practice. You'll get better at it by practicing it as much as possible.

  45. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    and you're welcome

  46. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i will. can i ask another question?

  47. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    because i think i got the hang of it :)

  48. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @jim_thompson5910 i will. can i ask another question? i think i got the hang of it :)

  49. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    go ahead

  50. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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

  51. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    2 × 2 × 5 × 5 × 7 is correct. Nice job

  52. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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

  53. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes!!! I'm going to continue practicing, to be like you :)

  54. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    25 is NOT prime. Why? because it can be factored further 25 = 5*5

  55. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    lol sorry i meant lol

  56. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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

  57. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the last one was an accident hahah sorry

  58. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yep because 625 = 5*5*5*5

  59. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    there are 4 copies of 5 being multiplied, we can use this shortcut \[\Large 625 = 5*5*5*5 = 5^4\]

  60. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    oh my go was just doing something like that

  61. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    What is the value of 7 to the fifth power? A. 2,401 B. (16,807) My answer C. 35 D. 78,125

  62. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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

  63. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yep 7^5 = 16807

  64. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    and yes, 5.7 * 10^8 = 570,000,000 570,000,000 = 570 million

  65. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    oh my god I'm so happy right now :D. Thank you for everything you where a really big help for me,

  66. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    im loving math right now lol

  67. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I'm glad you're loving math now

  68. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yeah! so the last question was right too?

  69. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the 570,000,000 one? yes it was

  70. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    oh man thank you :'). I'm about to submit my exam :D

  71. jakyfraze
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @jim_thompson5910 i got a 100!! thank you thank thank you. and god bless you :)

  72. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.