Question : The sum of the odd divisors of 216 is:
Option 1: 16
Option 2: 14
Option 3: 40
Option 4: 600
Answer (1)
20th Jan, 2024
Correct Answer: 40
Solution :
Given that the number is 216.
$216 = 2^3 \times 3^3$
To find the odd factors, we simply remove the higher power terms of 2.
$\therefore$ Sum of odd divisors = $(2^0) (3^0 + 3^1 + 3^2 + 3^3)= 1 \times 40 = 40$
Hence, the correct answer is 40.
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