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Infinitely many. For a start:

8 x 1

8 x 2

8 x 4

8 x 5

8 x 7

8 x 8

etc.; just replace all integers that are not multiples of 3 in the right part.

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Q: How many numbers are divisible by 8 but not 3?
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How many numbers between 1 and 1000 are divisible by 3 and 8?

There are 41 numbers between 1 and 1,000 that are divisible by 3 and 8?


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Is a number always divisible by 4 if the sum of the digits is 8?

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8 of the numbers less than 660 are divisible by 5 and 11 but not 3. All numbers divisible by 5 and 11 are multiples of their lcm; lcm(5, 11) = 55 All numbers divisibile by 5, 11 and 3 are multiples of their lcm; lcm(5, 11, 3) = 165 659 ÷ 55 = 11 54/55 → 11 numbers less than 660 are divisible by 5 and 11 659 ÷ 165 = 3 164/165 → 3 numbers less than 660 are divisible by 5, 11 and 3 → of the 11 numbers less than 660 divisible by 5 and 11, 3 are also divisible by 3 → 11 - 3 = 8 numbers less than 660 are divisible by 5 and 11 but not 3,.


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