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Mathematics 21 Online
OpenStudy (anonymous):

Give the prime factorization of each number, using exponents where appropriate. 140 144 147

jimthompson5910 (jim_thompson5910):

What is 140 divided by 2?

OpenStudy (anonymous):

70?

jimthompson5910 (jim_thompson5910):

What is 70 divided by 2

OpenStudy (anonymous):

35

jimthompson5910 (jim_thompson5910):

Then we can divide 35 by 5 to get 7 So doing all this gives us this factor tree |dw:1357595996931:dw|

jimthompson5910 (jim_thompson5910):

Notice how each branch multiplies to a number above it (eg: 2 and 35 below multiply to 70 above the two)

jimthompson5910 (jim_thompson5910):

From here, circle all the prime numbers |dw:1357596297032:dw|

jimthompson5910 (jim_thompson5910):

Then multiply them out to get 2*2*5*7 Because the twos occur twice, we can rewrite it to get \[\Large 2^2*5*7\] So in the end, \[\Large 140 = 2^2*5*7\]

OpenStudy (anonymous):

Cool! Thank you! :)

jimthompson5910 (jim_thompson5910):

yw

OpenStudy (anonymous):

:D:D

jimthompson5910 (jim_thompson5910):

so do you know how to do the others given this one?

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