Asked by Julia
What is the sum of all numbers less than 496 that devise evenly into
496
496
Answers
Answered by
Reiny
devise ----> divide
496 = 2*2*2*2*31
The 2's can be used in 5 ways, that is,
not take any
take 1
take 2
take 3
take all 4
the 31 can be used in 2 ways, either take or not take it
number of factors = 5*2 = 10
but that includes taking all or none
if we correspond to none as the factor 1 and if we take all we would get
496
the factors would be
1, 2, 4, 8, 16, 31, 62, 124, 248, and 496
Add them up
496 = 2*2*2*2*31
The 2's can be used in 5 ways, that is,
not take any
take 1
take 2
take 3
take all 4
the 31 can be used in 2 ways, either take or not take it
number of factors = 5*2 = 10
but that includes taking all or none
if we correspond to none as the factor 1 and if we take all we would get
496
the factors would be
1, 2, 4, 8, 16, 31, 62, 124, 248, and 496
Add them up
Answered by
Connor
Thank you for the answer!
Answered by
dgougdougqofuof
Thank you!!