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Question

Using divisibility tests, determine whether $$297144$$ is divisible by $$6.$$

Solution
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Divisibility by $$2$$
Since $$297144$$ ends with $$4$$
It is divisible by $$2$$
Divisibility by $$3$$ sum of the digits
$$=2+9+7+1+4+4$$
$$=27$$
since $$27$$ is divisible by $$3$$
so $$297144$$ is divisible by $$3$$
since $$297144$$ is divisible by both $$2 \ and \ 3$$
It is divisible by $$6$$

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