Divisibility & Primes in IOQM: previous year question analysis
Divisibility & Primes has appeared 41 times in IOQM between 2012 and 2025, making it the 4th most-asked of 14 chapters and about 11.5% of the bank. Over the last 5 years it has averaged 5.2 questions per year.
Total PYQs
41
Years covered
2012–2025
Weightage rank
#4 of 14
Share of bank
11.5%
How many Divisibility & Primes questions appeared each year
| Year | Questions | Relative volume |
|---|---|---|
| 2013 | 2 | |
| 2014 | 3 | |
| 2015 | 1 | |
| 2016 | 1 | |
| 2017 | 2 | |
| 2018 | 2 | |
| 2019 | 3 | |
| 2021 | 6 | |
| 2022 | 4 | |
| 2023 | 4 | |
| 2024 | 3 | |
| 2025 | 9 |
Which Divisibility & Primes sub-topics are asked most
Every question in this chapter is tagged to a sub-topic, so you can see exactly where the marks sit before you revise.
- common divisor of a product of consecutive odd numbers1 questions
- prime factorisation and perfect powers1 questions
- representing an integer as a sum of consecutive integers1 questions
- integer square root and prime factorisation1 questions
- divisibility of a rational expression1 questions
- divisor counting, smallest number with a given divisor count1 questions
- product of three related primes1 questions
- counting ordered/unordered pairs with a given LCM1 questions
- prime powers from a factorised quadratic1 questions
- gcd of factorial expressions, Wilson's theorem1 questions
Question formats used in Divisibility & Primes
- Numerical / integer answer41
How Divisibility & Primes compares with nearby chapters
- #2Triangles & Circles51
- #3Polynomials & Equations43
- #4Divisibility & Primes41
- #5Diophantine Equations39
- #6Quadrilaterals & Polygons28
Counts are computed from AcadXL’s own IOQM question bank, tagged chapter- and sub-topic-wise and checked against official answer keys. Sign in to attempt the 41 Divisibility & Primes questions with solutions.