Q: How many numbers between 10 and 150 are exactly divisible by 7?

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How many numbers are divisible by 9 between 5 and 1000²

between 1 and 600 inclusive there are:300 numbers divisible by 2200 numbers divisible by 3100 numbers divisible by both 2 and 3400 numbers divisible by 2 or 3.

There are 29 numbers between 1 and 150 that are divisible by five.

There are 22 numbers between 400 and 600 that are divisible by nine.

There are 89 numbers between 1 and 180 that are divisible by two.

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Exactly 50

9 of them.

How many numbers are divisible by 9 between 5 and 1000²

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.

between 1 and 600 inclusive there are:300 numbers divisible by 2200 numbers divisible by 3100 numbers divisible by both 2 and 3400 numbers divisible by 2 or 3.

There are 29 numbers between 1 and 150 that are divisible by five.

There are 22 numbers between 400 and 600 that are divisible by nine.

There are 89 numbers between 1 and 180 that are divisible by two.

There are 89,999 numbers between 100,000 and 999,999 that are divisible by 10.

There are 66 numbers between 1 and 1,000 that are divisible by 15.

There are 25 numbers between 101 and 201 that are divisible by four.

There are 98 numbers are between 1 and 100 that are divisible by five.