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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