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There are 333 of them ... way too many to list here. But you can easily
construct the list for yourself.
Just write down all the numbers from ' 3 ' to ' 999 ' on paper.
Then go like this:
-- Circle the first number.
-- Cross out the next two numbers.
-- Circle the next number.
-- Cross out the next two numbers.
-- Circle the next number.
-- Cross out the next two.
Keep going like this, all the way down the list.
When you're finished, you have 333 numbers circled.
Those are all the multiples of ' 3 ' up to 1,000.
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How many positive integers from 1 to 1000 inclusive are there such that is a multiple of 3 and the digit sum of is also a multiple of 3?
All multiples of 3 have digits that add up to a multiple of 3. There are 333 multiples of 3 between 1 and 1000.
How many positive integers n from 1 to 1000 inclusive are there such that n is a multiple of 3 and the digit sum of n is also a multiple of 3?
All multiples of 3 have digits that add up to a multiple of 3. There are 333 multiples of 3 between 1 and 1000.
The sum of all the multiples of 3 or 5 below 1000?
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
What numbers can divided by 3 up to a 100?
All the multiples of 3 from 3 to 99
What is the Sum of the positive non-multiples of three that are less than 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
