If n is the product of the integers from1 to 20 inclusive, what is the greatest integer k for which 2k is a factor of n?
A. 10
B. 12
C. 15
D. 18
E. 20
Can someone please explain this. I will post the OA.
PS Number Properties
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I'll assume the question asks 2^k, because 2*20 is definitely not the greatest factor of n.
so basically n=1*2*3*2*2...
in order for 2^k to be a factor of n, all the 2s in the denominator have to be present in the numerator. n has a total of 18 2s.
Answer D
so basically n=1*2*3*2*2...
in order for 2^k to be a factor of n, all the 2s in the denominator have to be present in the numerator. n has a total of 18 2s.
Answer D