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There is a method called "casting out nines" that can be used to quickly test if any positive number is divisible by 9. To perform this test add the digits of the number, if the result has more than one digit repeat the addition of the digits, when the result is a single digit if that digit is 9 then the number is divisible by nine.

Examples:

  • 99999, gives 45, gives 9, is divisible by 9
  • 12345, gives 15, gives 6, is not divisible by 9
  • 10008, gives 9, is divisible by 9
  • 50004, gives 9, is divisible by 9
  • 30303, gives 9, is divisible by 9
  • 33633, gives 18, gives 9, is divisible by 9
  • etc.
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7y ago
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7y ago

Any 5-digit number whose digits add up to 9 will do - for example, 10008. You can add 9 to that (repeatedly), to get additional numbers that are multiples of 9.

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Q: What is a 5 digit number that is divisible by 9?
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What is the least three-digit number that is divisible by both 5 and 9?

The least three-digit number that is divisible by both 5 and 9 is 135.


What is the greatest 5 digit number divisible by 9?

A number is divisible by 9 if the sum of its digits is divisible by 9. Thus, the number 99999 is divisible by 9 (the sum of its digits is 45, and it is clearly 11111 * 9), and because 99999 is the largest 5 digit number, it must be the largest 5 digit multiple of 9. 99999 is the greatest no divisible by 9.if u divide it u`ll get 11111.


What is the largest 5 digit number divisible by 11?

The largest 5 digit number is 99999. If this is divided by 11 it leaves a remainder of 9. Therefore the largest 5 digit number divisible by 11 is 99999 - 9 = 99990.


What is a three digit number that is divisible by 5 and 9?

180


What five digit number divisible by 5 and 9?

11,115


What three digit number is divisible by 9 and 5?

225


What four digit number is divisible by 5 and 9?

9000


What 4-digit number is divisible by 9 but not 5?

9999


What four digit number divisible by 9 and 5?

9000


Is 104 divisible by 9?

No. To check if a number is divisible by 9 add the digits together and if the sum is divisible by 9 then so is the original number. The check can be used on the sum so keep summing until a single digit remains. If this digit is 9, then the number is divisible by 9, otherwise it gives the remainder when the number is divided by 9. (This single digit is known as the digital root of the number.) 104 → 1 + 0 + 4 = 5 5 is not 9, so 104 is not divisible by 9; it has a remainder of 5 when divided by 9


Is the number 26 divisible by 2 3 5 or 9 How do you know?

To be divisible by 2 the number must be even, that is its last digit must be 2, 4, 6, 8, or 0; the last digit of 26 is 6 which is one of {2, 4, 6, 8, 0} so 26 is even and divisible by 2. To be divisible by 3 sum the digits of the number; if this sum is divisible by 3 then the original number is divisible by 3. The test can be repeated on the sum until a single digit remains, in which case if this single digit is 3, 6, or 9 then the original number is divisible by 3; For 26: 2 + 6 = 8 which is not one of {3, 6, 9} so 26 is not divisible by 3. To be divisible by 5 the last digit must be a 0 or 5; the last digit of 26 is a 6 which is not 0 nor 5, so 26 is not divisible by 5. To be divisible by 9 sum the digits of the number; if this sum is divisible by 9 then the original number is divisible by 9. The test can be repeated on the sum until a single digit remains, in which case if this single digit is 9 then the original number is divisible by 9; For 26: 2 + 6 = 8 which is not 9 so 26 is not divisible by 9. 26 is divisible by 2 but not divisible by 3, 5 nor 9.


What is the least 4 digit number that is divisible by 5 and 9?

1035