Divisible by 7, 11 and 13

A number is divisible by ……..By 7, 11, and 13 if it consists of but four places, the first and fourth being occupied by the same
significant figures, and the second and third by ciphers.”
(A cipher is a 0.) It continues:
“Thus, 2002, 3003, and 5005 are divisible by 7, 11, and 13.”

Proof:  7×11x13 = 1001

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