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If a number is divisible by 3 and the digits are rearranged, will the new number always be divisible by 3?

1 Answer

7 votes

Answer:

yes

Explanation:

The divisibility rule for 3 says the number is divisible by 3 if the sum of its digits is divisible by 3. Rearranging the order of the digits does not change their sum.

A number that is divisible by 3 will be divisible by 3 when the digits of it are arranged in any order.

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