111 numbers between 5 and 1000 are divisible by 9
Any that are divisible by 9 are also divisible by 3.
There are many numbers between 500 and 1000 divisible by 3 and 9. Any number divisible by 9 is divisible by 3. How about 900?
To find the numbers between 1 and 100 inclusive that are divisible by either 9 or 4, we first determine how many numbers are divisible by 9 and how many are divisible by 4. There are 11 numbers divisible by 9 (9, 18, 27, ..., 99) and 25 numbers divisible by 4 (4, 8, 12, ..., 100). However, we must be careful not to double-count numbers divisible by both 9 and 4 (36, 72). Therefore, the total number of numbers divisible by 9 or 4 between 1 and 100 inclusive is 11 + 25 - 2 = 34.
To find numbers between 30 and 40 that are divisible by both 4 and 9, we need to find the least common multiple of 4 and 9, which is 36. The numbers between 30 and 40 that are divisible by 4 and 9 are 36.
111 numbers between 5 and 1000 are divisible by 9
Any that are divisible by 9 are also divisible by 3.
There are no such numbers. The only number in the range that is divisible by 35 is 70 and that is not divisible by 9.
There are many numbers between 500 and 1000 divisible by 3 and 9. Any number divisible by 9 is divisible by 3. How about 900?
To find the numbers between 1 and 100 inclusive that are divisible by either 9 or 4, we first determine how many numbers are divisible by 9 and how many are divisible by 4. There are 11 numbers divisible by 9 (9, 18, 27, ..., 99) and 25 numbers divisible by 4 (4, 8, 12, ..., 100). However, we must be careful not to double-count numbers divisible by both 9 and 4 (36, 72). Therefore, the total number of numbers divisible by 9 or 4 between 1 and 100 inclusive is 11 + 25 - 2 = 34.
To find numbers between 30 and 40 that are divisible by both 4 and 9, we need to find the least common multiple of 4 and 9, which is 36. The numbers between 30 and 40 that are divisible by 4 and 9 are 36.
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.
The first number in this range divisible by 9 is 9 itself...9 = 1 x 9 The last number in the range is 999 = 111 x 9 So there are 111 numbers between 1 and 1000 that are divisible by 9.
The numbers between 40 and 60 that are divisible by 9 are 45 and 54. 45/9=5 and 54/9=6. The sum of 45 and 54 is 99.
There are 5 multiples of 18 between 200 and 300. (An even number divisible by 9 is any number divisible by 18).
There are 5 such numbers.
All numbers divisible by 3 are NOT divisible by 9. As an example, 6, which is divisible by 3, is not divisible by 9. However, all numbers divisible by 9 are also divisible by 3 because 9 is divisible by 3.