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Problem #57 · September 22, 2026

Divisibility rules

How many three-digit numbers are multiples of 55?
  1. A200200
  2. B199199
  3. C180180
  4. D179179

WORKED EXAMPLE

Solution

The smallest three-digit multiple is 100100, and the largest is 995995. The count of the numbers is (995−100):5+1=179+1=180(995-100):5+1=179+1=180.
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