Because three and nine go into 531 evenly.
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531 x 1 = 531 177 x 3 = 531 59 x 9 = 531
If a number is not divisible by 3 then it is not divisible by 9.
It is impossible since 3 can already go into 9.
To check for divisibility by 9 sum the digits of the number and if this sum is divisible by 9 then so is the original number. For 32643: 3 + 2 + 6 + 4 + 3 = 18 which is divisible by 9 so 32643 is divisible by 9. As 9 = 3 × 3, any number divisible by 9 is also divisible by 3, thus as 32643 is divisible by 9 it is also divisible by 3. However, for completeness: to check for divisibility by 3 sum the digits of the number and if this sum is divisible by 3 then so is the original number. For 32643: 3 + 2 + 6 + 4 + 3 = 18 which is divisible by 3 so 32643 is divisible by 3.
Any that are divisible by 9 are also divisible by 3.