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There cannot be such a number.

Suppose the number is P.

Then 10% of P is P/10

Their multiple is P*P/10 = P2/10

If P2/10 = 726

then P2 = 7260 so that P = sqrt(7260) = 85.2 (approx) which is not an integer and so cannot be a prime.

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12y ago

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