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Problem #11 · August 7, 2026

Divisibility rules

Find the remainder when 763763 is divided by 55.
  1. A0
  2. B1
  3. C2
  4. D3
  5. E4

WORKED EXAMPLE

Solution

The remainder on division by 55 is determined by the last digit of the number. The largest number below 763763 that is a multiple of 55 is 760=5⋅152760 = 5 \cdot 152. Thus, 763=5⋅152+3763 = 5 \cdot 152 + 3 and the remainder is 33.
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