Given the difficulty, reconsider: maybe the number is divisible by each 7, 11, 13âso must be multiple of 1001.

February 22, 2026

Given the difficulty, reconsider: maybe the number is divisible by **each** 7, 11, 13âso must be multiple of 1001.

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Waitâperhaps the problem says âdivisible by 7, 11, and 13â but allows smaller multiples? Noâ1001 is the smallest.
Unless the number is not required to be divisible by the product, but by **some**âbut no.
Alternatively, perhaps the problem meant: divisible by **one** of them, but says âandââhighlighting shared constraint.
Thus, **no** three-digit number qualifies.
But this is impossibleâso likely a misinterpretation.
Waitâperhaps âdivisible by 7, 11, and 13â is meant to be âdivisible by 7 and 11 and 13â, i.e., divisible by lcm=1001âbut again, too big.

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