The expression $$\(2^{4}\)$$ can be written as the product of identical powers of 2 in two ways: $$\(2^{1} \times 2^{1} \times 2^{1} \times 2^{1}\)$$ and $$\(2^{2} \times 2^{2}\)$$. In how many ways can $$\(2^{2020}\)$$ be written as the product of identical powers of 2 ?

A.
3
B.
6
C.
11
D.
1010
Mathematics
Competition
Math League
Exam No:2020 First Round Grade 6 Year:2020 Question No:34

Answer:

C

Knowledge points:

G6 - Number Theory - Number of Divisors

Solution:

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