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4 x 25 = 100, so 100 is the 25th number divisible by 4.

If you include 100, there are 25.

If you don't include 100, there are 24.

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Q: The number of numbers exactly divisible by 4 from 1 to 100?
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The number of numbers exactly divisible by 3 from 1 to 100 is?

It is 33.


Number which is exactly divisible by all the numbers from 1-100?

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There are (500-100)/2 = 200 numbers divisible by 2 between 100 and 500 counting 100 but not 500. Of these (500-100)/8 = 50 are divisible by 8. So there are 150 numbers between 100 and 500 divisible by two but not by 8. By relative primeness exactly 50 out of these 150 are divisible by 3 and therefore these 50 are exactly the ones divisible by 6 but not by 8.


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A number that is divisible by 4 and 6 must be divisible by the LCM of 4 and 6 which is 12. 100/12 = 8.33 200/12 = 16.67 So, there are 16 numbers below 200 that are divisible by 4 and 6 and, of these, 8 are smaller than 100. That gives 16 - 8 = 8 between 100 and 200.


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