Exactly 50
There are 2,966 numbers between 100 and 9,000 that are divisible by three.
There are 98 numbers are between 1 and 100 that are divisible by five.
There are a total of 14 numbers between 0 & 100 that are divisible by 7.
There are nine numbers between 10 and 100 that are evenly divisible by 11.
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.
Exactly 50
9 of them.
There are 2,966 numbers between 100 and 9,000 that are divisible by three.
There are 98 numbers are between 1 and 100 that are divisible by five.
There are a total of 14 numbers between 0 & 100 that are divisible by 7.
There are nine numbers between 10 and 100 that are evenly divisible by 11.
There are 49 numbers between 1 and 100 that are divisible by two.
100 ÷ 4 = 25 → 24 numbers between 0 and 100 exclusive are divisible by 4 100 ÷ 6 = 16 2/3 → 16 numbers between 0 and 100 are divisible by 6 lcm(4, 6) = 12 → 100 ÷ 12 = 8 1/3 → 8 numbers between 0 and 100 are divisible by 4 and 6.
There are 14 numbers between 1 & 100 that are divisible by 7.
Since 100/4 = 25, there are 25 numbers between 0 and 100 divisible by 4.
prime numbers between 0 -100 which are divisible by 7: 7