Number Properties are a core part of the GRE Quant section, testing your logical reasoning and efficiency. This guided path will teach you the fundamental concepts and strategic shortcuts needed for a top score.
Start with the fundamental types of numbers. This is the basic vocabulary for all Number Properties questions.
All rational and irrational numbers. They can be represented on a continuous number line.
Hover over points to see values.
Dive deeper into the most important number type—integers. Learn what makes them Prime, Even, Odd, and more with interactive examples.
Master the rules for adding, subtracting, and multiplying odd and even numbers—a key skill for GRE logic puzzles and QC.
Master the essential rules of divisibility (for 3, 4, 6, 8, 9, 11) and test your skills with our interactive checker.
Learn about prime factorization, how to find the total number of factors, and how to calculate the HCF of two numbers.
Every integer > 1 is a unique product of primes.
e.g., 12 = 2² × 3
If N = aᵖ × b^q, Total Factors = (p+1)(q+1).
Learn to solve QC number property problems by focusing on conceptual patterns instead of just picking numbers.
x is an integer greater than 1.
Explore special cases and number patterns (like ABAB or ABCABC) related to divisibility that can act as powerful shortcuts.
In any set of 'n' consecutive integers, exactly one number is divisible by 'n'. Try changing n and start.
A dedicated question set for Number Properties is currently being authored. In the meantime, test your baseline score on the full Diagnostic:
Don't just solve questions sequentially. Learn the error log method and how to use the OG for maximum score gains.
Stop calculating! Learn how to use the properties of symmetry to solve hard SD questions in seconds.
Stop calculating sums! Learn the 'Average of First & Last' rule to solve Arithmetic Progression (AP) problems in seconds.