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  4. The sum of positive divisors of 360 that are not divisible by 3 is

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Q. The sum of positive divisors of $360$ that are not divisible by $3$ is

COMEDKCOMEDK 2008Binomial Theorem

Solution:

$360 = 2^3 \times 3^2 \times 5^1$
$\therefore $ Sum of positive divisors of 360 that are not divisible by 3
= $(1 + 2^1 + 2^2 + 2^3) (1 + 5^1)$
= $(1 + 2 + 4 + 8)(6) = 15 \times 6 = 90$.