AMC divisibility problems

102 past AMC problems use divisibility. 58 come from the AMC 10 and 44 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.

2025 AMC 10A · Problem 17
2025 AMC 10B · Problem 8
2025 AMC 10B · Problem 10
2025 AMC 10B · Problem 22
2025 AMC 12B · Problem 6
2025 AMC 12B · Problem 23
2024 AMC 10A · Problem 5
2024 AMC 10A · Problem 19
2023 AMC 10A · Problem 3
2023 AMC 10A · Problem 12
2023 AMC 12A · Problem 3
2023 AMC 12A · Problem 13
2022 AMC 10B · Problem 17
2022 AMC 12B · Problem 15
2021 AMC 10A · Problem 11
2021 AMC 10B · Problem 16
2021 Fall AMC 10A · Problem 5
2021 Fall AMC 10A · Problem 8
2021 Fall AMC 10B · Problem 7
2021 Fall AMC 12A · Problem 4
2021 Fall AMC 12A · Problem 12
2021 Fall AMC 12B · Problem 25
2020 AMC 10A · Problem 6
2020 AMC 10A · Problem 9
2020 AMC 10A · Problem 22
2020 AMC 10B · Problem 7
2020 AMC 12A · Problem 4
2019 AMC 10A · Problem 2
2019 AMC 10A · Problem 9
2019 AMC 10A · Problem 25
2019 AMC 10B · Problem 7
2019 AMC 10B · Problem 14
2019 AMC 12A · Problem 13
2019 AMC 12B · Problem 5
2018 AMC 10A · Problem 17
2018 AMC 10B · Problem 16
2018 AMC 10B · Problem 19
2018 AMC 12A · Problem 12
2018 AMC 12B · Problem 14
2018 AMC 12B · Problem 15
2018 AMC 12B · Problem 19
2017 AMC 10A · Problem 16
2017 AMC 10A · Problem 25
2017 AMC 10B · Problem 1
2017 AMC 10B · Problem 25
2017 AMC 12A · Problem 12
2017 AMC 12A · Problem 21
2017 AMC 12B · Problem 19
2017 AMC 12B · Problem 21
2017 AMC 12B · Problem 25
2016 AMC 12B · Problem 22
2015 AMC 10B · Problem 3
2015 AMC 10B · Problem 16
2015 AMC 12B · Problem 3
2014 AMC 10B · Problem 14
2014 AMC 12B · Problem 7
2014 AMC 12B · Problem 10
2013 AMC 10A · Problem 21
2013 AMC 12A · Problem 17
2012 AMC 12B · Problem 24

Use Start divisibility practice above to work through the remaining 42.

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