What is 512 written as a power of a number?
A.
92
B.
44
C.
28
D.
29
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OpenStudy (anonymous):
please help
OpenStudy (mathstudent55):
Find the prime factorization of 512.
OpenStudy (anonymous):
i dont know how to?
OpenStudy (mathstudent55):
To do that, divide by prime numbers starting with 2 as many times as possible.
Then once it is no longer divisible by 2, move on to 3.
Keep on going until you get 1.
OpenStudy (mathstudent55):
I'll show you an example.
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OpenStudy (anonymous):
can u give me the answer?
OpenStudy (mathstudent55):
Find the prime factorization of 81.
The prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, ...
We start by dividing by the smallest prime that divided evenly into 81.
81 is not divisible by 2, so we move to 3.
81/3 = 27
27/3 = 9
9/3 = 3
3/3 = 1
Since we divided 81 4 times by 3, 81 = 3^4
OpenStudy (mathstudent55):
512 is divisible by 2.
Just divide it by 2 and keep dividing it by 2 until you get 1.
Then count how many times you divided it by 2. That is the exponent on the 2.
OpenStudy (anonymous):
its ok, i got the answer
OpenStudy (anonymous):
thanks!
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