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Divisibility Tests for 11

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Question

Check whether 345345 is divisible by 7, 11, and 13.

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Solution

345345 can be written as,
345000 + 345 = 345(1000 + 1) = 345(1001) = 345(7 × 11 × 13)
therefore, 345345 is divisible by 7, 11, and 13 also.

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