Divisible Sum
Number Theory
Level
pending
What is the sum of the multiples by 3, 5 and 15 between 1 and 1000?
234168
232565
123654
102365
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1 solution
1000/3 = 333 + remainder, 1000/5 = 200 + remainder, 1000/15 = 66 + remainder and then sum multiples of 3: 3x333(333+1)/2=166833. multiples of 5: 5x200(200+1)/2=100500 and subtract multiples of 15 15x66(66+1)/2=33165 to get 234168.