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needhelpfastplease
Group Title
What is the prime factorization of 126?
A.
2^2 • 3 • 7
B.
2 • 3 • 7
C.
2 • 3^2 • 7
D.
2 • 3^2 • 72
 7 months ago
 7 months ago
needhelpfastplease Group Title
What is the prime factorization of 126? A. 2^2 • 3 • 7 B. 2 • 3 • 7 C. 2 • 3^2 • 7 D. 2 • 3^2 • 72
 7 months ago
 7 months ago

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theEric Group TitleBest ResponseYou've already chosen the best response.1
This is similar to the last multiple choice "what is the prime factorization of" problem. Eliminate the choices that have non prime numbers (like 72). Then you can just see which one works!
 7 months ago

needhelpfastplease Group TitleBest ResponseYou've already chosen the best response.0
im not really sure about this one i have no idea
 7 months ago

theEric Group TitleBest ResponseYou've already chosen the best response.1
I divide by 2 whenever the number is even. So \(126\div2=63\). So \(126 = 2\times63\) 63 is \(7\times9\), I remember. So \(126 =2\times7\times9\) 7 is okay, it's a prime. 9 is not prime, so we check it out. \(9=3\times3\). So \(126=2\times7\times3\times3\) \(126=2\times7\times3\times3\) is the prime factorization.
 7 months ago

needhelpfastplease Group TitleBest ResponseYou've already chosen the best response.0
oh so its C
 7 months ago

needhelpfastplease Group TitleBest ResponseYou've already chosen the best response.0
thanks!
 7 months ago

theEric Group TitleBest ResponseYou've already chosen the best response.1
You're welcome! If you want to just go through any number's prime factorization, divide by 2 when you can if you can't, divide by 3 if you can't, divide by 5 if you can't, divide by 7 if you can't, divide by 11 and if you can't divide by other primes. Or, if you see a number like \(120\), go straight for the common sense \(12\times 10\) so you can get right to the lower numbers! But going through the primes is good, too. \(120=2\times 60\) Side note: 60 is easy, too... \(120=2\times2\times30\) \(120=2\times2\times2\times15\) 2 doesn't work. \(120=2\times2\times2\times3\times5\) All primes.
 7 months ago

theEric Group TitleBest ResponseYou've already chosen the best response.1
Going the other route, \(120\\=12\times10\\=3\times4\ \times\ 2\times5\\=3\times2\times2\ \times\ 2\times5\) Same thing, of course.. Same number! :)
 7 months ago

theEric Group TitleBest ResponseYou've already chosen the best response.1
I have to go. Take care! Good luck with whatever else you have to do!
 7 months ago
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