There are 29 numbers between 1 and 150 that are divisible by five.
150/8 = 18.75 so 18 numbers.
10 numbers
150 ÷ 9 = 16 r 6 → the first natural number between 150 and 300 divisible by 9 is 9 × 17 (=154)300 ÷ 9 = 33 r 3 → the last natural number between 150 and 300 divisible by 9 is 9 × 33 (=297)→ there are 33 - 17 + 1 = 17 natural numbers between 150 and 300 divisible by 9.
20 of them.
126
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.
There are 29 numbers between 1 and 150 that are divisible by five.
Every 6th number beginning with 102. There are 150 of them, and the last one is 996.
150/8 = 18.75 so 18 numbers.
10 numbers
150 ÷ 9 = 16 r 6 → the first natural number between 150 and 300 divisible by 9 is 9 × 17 (=154)300 ÷ 9 = 33 r 3 → the last natural number between 150 and 300 divisible by 9 is 9 × 33 (=297)→ there are 33 - 17 + 1 = 17 natural numbers between 150 and 300 divisible by 9.
150
There are 600 5-digit numbers divisible by 150.
20 of them.
Well, darling, you simply divide the range by the divisor and add 1 if the starting number is divisible by the divisor. In this case, you divide 1000 by 6 and subtract the result of dividing 100 by 6. So, (1000/6) - (100/6) + 1 = 166 - 16 + 1 = 151 numbers between 100 and 1000 are divisible by 6. Hope that tickles your fancy!
150