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The divisibility test for the number 9 is: Any number whose digits add up to 9 or a multiple of 9, is divisible by 9. Any other number the sum of whose digits do not add up to 9 or a multiple of 9, are not divisible by 9.
For example, the digits of 81 sum up to 9, and therefore, 81 is divisible by 9. The digits of the number 319381482 add up to 39, and therefore, 319381482 is divisible by 9.
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How many numbers are divisible by 9 between 5 and 1000?
111 numbers between 5 and 1000 are divisible by 9
Are all numbers divisible by 9 also divisible by 3?
Yes. Test a couple numbers divisible by 9--27, 81--and they are all divisible by 3.
What numbers are divisible by 621?
621 is divisible by 9?
What is the relationship between numbers divisible by 9 and 3?
Any that are divisible by 9 are also divisible by 3.
How many numbers between 1 and 100 inclusive are divisible by 9 or 4?
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.
