37 74 111 148 185 222 259 296 333 370
37, 74, 111, 148, 185, 222, 259, 296, 333, 370, 407, . . .
The multiple of 3 nearest to and below 1000 is 999. 999/3 = 333 The sum of all the multiples is 3 x 333 x 334/2 = 166833 The multiple of 5 nearest to and below 1000 is 995. 995/5 = 199 The sum of all the multiples is 5 x 199 x 200/2 = 99500
All multiples of 3 have digits that add up to a multiple of 3. There are 333 multiples of 3 between 1 and 1000.
That would be equal to the sum of all positive integers less than 1000 minus the sum of all positive multiples of three that are less than 1000. That would be equal to: (1000 + 1) * (1000 / 2) - 3 * (333 + 1) * (333 / 2) = 1001 * 500 - 1000 * 166.5 = 500500 - 166500 = 334000
333
999/3there are 333 multiples of 3
The first ten multiples of 111 are 111, 222, 333, 444, 555, 666, 777, 888, 999, and 1110.
Oh, isn't that a happy little question! Any number that ends in 0 or is a multiple of 3 can be divisible by 333. Just like painting, math can be a beautiful blend of patterns and numbers that come together in a peaceful harmony. Keep exploring and discovering the wonders of numbers, my friend!
37, 74, 111, 148, 185, 222, 259, 296, 333, 370, etc
37 74 111 148 185 222 259 296 333 370
37, 74, 111, 148, 185, 222, 259, 296, 333, 370, 407, . . .
37, 74, 111, 148, 185, 222, 259, 296, 333, 370.
The multiple of 3 nearest to and below 1000 is 999. 999/3 = 333 The sum of all the multiples is 3 x 333 x 334/2 = 166833 The multiple of 5 nearest to and below 1000 is 995. 995/5 = 199 The sum of all the multiples is 5 x 199 x 200/2 = 99500
37, 74, 111, 148, 185, 222, 259, 296, 333, 370, 407.
37, 74, 111, 148, 185, 222, 259, 296, 333, 370, 407, 444.
37, 74, 111, 148, 185, 222, 259, 296, 333, 370 . . .