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Using the tests for divisibility:

  • Divisible by 3:
Add the digits and if the sum is divisible by 3, so is the original number:

2 + 3 + 4 = 9 which is divisible by 3, so 234 is divisible by 3

  • Divisible by 6:
Number is divisible by 2 and 3:
  • Divisible by 2:
If the number is even (last digit divisible by 2), then the whole number is divisible by 2.

234 is even so 234 is divisible by 2.

  • Divisible by 3:
Already shown above to be divisible by 3.

234 is divisible by both 2 & 3 so 234 is divisible by 6

  • Divisible by 9:
Add the digits and if the sum is divisible by 9, so is the original number:

2 + 3 + 4 = 9 which is divisible by 9, so 234 is divisible by 9

Thus 234 is divisible by all 3, 6 & 9.

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Q: Is 234 divisible by 3 6 and 9?
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