how many factors of 26460 are of the format 2K where K is a natural number
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Given : 26460
To find : how many factors of 26460 are of the format 2K where K is a natural number
Solution:
Lets find out all the factors of
26460 /2 = 13230
Hence all such factor will be of form 2k where k is natural number
13230 = 2 x 3 x 3 x 3 x 5 x 7 x 7
=> 13230 = 2¹ x 3³ x 5¹ x 7²
Number of factors
= (1 + 1)(3 + 1) (1 + 1)(2 + 1)
= 2 * 4 * 2 * 3
= 48
48 factors of 26460 will be of form 2K where K is a natural number
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