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AMC divisibility & primes problems

Divisibility, prime factorisation, counting factors, GCD and LCM, and perfect powers.

311 problems in the archive use these ideas — 165 from the AMC 10 and 146 from the AMC 12.

Picks a problem you have not seen, at about the difficulty you are handling.

60 most recent problems

Newest contests first. Every problem opens with its answer choices, hints and a worked solution.

Use Start divisibility & primes practice above to keep going through the remaining 251, or browse them by contest in the AMC 12 and AMC 10 archives.

Back to all number theory problems.