If the number 413283P759387 is divisible by 13, then what is the value of P?

Explanation

Group the digits in blocks of three from right to left and find the alternating sum: 387 - 759 + (830+P) - 132 + 4 = 330 + P. For 330 + P to be divisible by 13, P must be 8 (since 338 = 13 \times 26).

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