There are 13: 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96.
There are 43 natural numbers between 200 and 500 that are divisible by seven.
There are 39 natural numbers between 1,000 and 1,500, inclusive, that are divisible by 13.
20 of them.
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.
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 43 natural numbers between 200 and 500 that are divisible by seven.
There are 39 natural numbers between 1,000 and 1,500, inclusive, that are divisible by 13.
20 of them.
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.
9
Exactly 50
1, 2, 4, 5, and 10
9 of them.
293 is not divisible by 5. Only numbers that end on 0 or 5 are exactly divisible by 5.No, it is not.
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 two: 90 and 108.
The smallest number which is exactly divisible by the numbers 8 9 and 10 is 360.