2026 AMC 8 Problem 16
Attempt Problem 16 of the 2026 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2026 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
16.
Consider all positive four-digit integers consisting of only even digits. What fraction of these integers are divisible by
Answer: D
Small hint:
Divisibility by depends only on the last two digits
Big hint:
For each tens digit, the ones digit must be , , or
Video solution:
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Written solution:
There are choices for the thousands digit and choices for each other digit. Divisibility by depends only on the last two digits. Among the even digit endings, for each tens digit , the ones digit can be , so endings work. The desired fraction is .
Problem 16 in other years
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