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

Answer 1

A 5-digit number that is divisible by 9 must have its digits sum to a multiple of 9. The smallest 5-digit number that fits this criterion is 10,008 (1 + 0 + 0 + 0 + 8 = 9). Other examples include 10,017, 10,026, and so on, up to the largest 5-digit number that is divisible by 9, which is 99,999.

Answer 2

Oh, isn't that a lovely question! To find a 5-digit number divisible by 9, we can look for a number where the sum of its digits is also divisible by 9. If we add up the digits of a number like 45,000, we get 4+5+0+0+0 = 9, which means it is divisible by 9. How delightful to see how numbers can come together in such a harmonious way!

Answer 3

50,004

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.

Answer 4

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.