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Mathematics 15 Online
OpenStudy (anonymous):

will give medal for explanation and answer thanks Determine the prime factorization of 88. A. 2 • 32• 5 B. 22• 3 • 5 C. 22• 11 D. 23• 11

OpenStudy (anonymous):

@Owlcoffee

OpenStudy (anonymous):

First of all, we understand what prime numbers are, no?

OpenStudy (anonymous):

yea

OpenStudy (anonymous):

"Prime Factorization" is finding which prime numbers multiply together to make the original number. So if we want to find the prime factorization of 12. |dw:1437149225429:dw|

OpenStudy (anonymous):

So the prime factorization of 12 would be 2x2x3

OpenStudy (anonymous):

So in simpler terms, we are looking for the prime factors of 88

OpenStudy (anonymous):

so its A

OpenStudy (anonymous):

so now let us do 88. First of all, one significant prime number that comes to mind when looking at this is 11. So if divided by 11, 88 equals 8. So... |dw:1437149455939:dw|

OpenStudy (anonymous):

So no, A is not correct, because 32 is NOT a prime number. Are you sure you understand?

OpenStudy (anonymous):

yea must have miscalculated

OpenStudy (anonymous):

so a and b are wrong

OpenStudy (anonymous):

So when we take 8, we then get 4 and 2. 2 is a prime so we can leave that alone. So we then take 4, and we get 2 and 2. Now it is fully prime factored. So our answer is \[2^3 \times 11\]

OpenStudy (anonymous):

if that 23 x 11 is referring to 2^3 x 11, then i suppose it is D

OpenStudy (anonymous):

yeah thats what i was thinking after i new that a and b were wrong and thank you very much

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