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Prove sum of natural numbers digits is divisible by 3

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Reference no: EM131866464

Question 1

Proof

Prove that for every natural number n ∈ N such that 3|n, the sum of the digits of n is divisible by 3.

Example

The sum of the digits of the number 4,128 is 4 + 1 + 2 + 8 = 15 = 3.5, and 4,128 = 3.1,376.

This is a useful tool for quickly determining whether a number is divisible by 3, but how can we be sure that it works for every natural number?

Reference no: EM131866464

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