Module · Arithmetic & Number Properties
Chapter 2: Divisibility, Factors & Multiples
Arithmetic
5 topics
What this chapter covers
The 5 topics below make up Divisibility, Factors & Multiples on the GRE. Click any topic to open its notes, examples and practice test.
Study material & tests
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Notes, worked examples and hint-guided practice for every topic.
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🎯 Topic tests
8 auto-graded questions per topic, pulled from the question bank.
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📝 Chapter test
25 fresh mixed-difficulty questions, timed, with full solutions.
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Formula Reference Sheet
This chapter
Divisibility tests
| By 2 | last digit even |
|---|---|
| By 3 | digit sum divisible by 3 |
| By 4 | last two digits divisible by 4 |
| By 5 | ends in 0 or 5 |
| By 9 | digit sum divisible by 9 |
GCD & LCM
| GCD × LCM | GCD(a,b) × LCM(a,b) = a × b |
|---|---|
| LCM from GCD | LCM = (a × b) / GCD |
| Coprime numbers | GCD = 1 ⇒ LCM = a × b |
| Divisibility by 6 | divisible by 2 AND by 3 |
GRE reference
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