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15 Sep 2006, 03:53
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What is the sum of the factors of 8192?
A 16380
B 16383
C 16386
D 16389
E 16391
A 16380
B 16383
C 16386
D 16389
E 16391
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15 Sep 2006, 05:34
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What is the sum of the factors of 8192?
A 16380
B 16383
C 16386
D 16389
E 16391
factorizing 8192 = 2^13
sum of factors = (2^14 - 1 ) / (2-1) = 16383
A 16380
B 16383
C 16386
D 16389
E 16391
factorizing 8192 = 2^13
sum of factors = (2^14 - 1 ) / (2-1) = 16383
Updated on: 15 Sep 2006, 08:36
Originally posted by haas_mba07 on 15 Sep 2006, 05:59.
Last edited by haas_mba07 on 15 Sep 2006, 08:36, edited 1 time in total.
Last edited by haas_mba07 on 15 Sep 2006, 08:36, edited 1 time in total.
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B 16383
Factoring 8192 = 2^13
Factors of 8192 = 1,2,4,8,16.... 8192 (all powers of 2)
As this is a GP with r = 2 , n = 14 (including 1)
Sum = 1 x (2^14 - 1)/(2-1) = 8192 x 2 -1 = 16383
Factoring 8192 = 2^13
Factors of 8192 = 1,2,4,8,16.... 8192 (all powers of 2)
As this is a GP with r = 2 , n = 14 (including 1)
Sum = 1 x (2^14 - 1)/(2-1) = 8192 x 2 -1 = 16383
