Question
Question: The sum of all positive even integral divisors of 1800 is...
The sum of all positive even integral divisors of 1800 is
A
15x13x30
B
14x13x31
C
14x12x31
D
14x12x31
Answer
14x13x31
Explanation
Solution
1800 = 23 x 32 x 52
∴ Sum of all even divisors
= (21 + 22 + 23) (30 + 31 + 32) (50 + 51 + 52)
= 14 x 13 x 31