The Number Properties Guide provides a comprehensive analysis of the properties and rules of integers tested on the GMAT. Learn, practice, and master everything from prime products to perfect squares.
Each chapter builds comprehensive content understanding by providing rules, strategies and in-depth examples of how the GMAT tests a given topic and how you can respond accurately and quickly. The Guide contains a total of 161 “In-Action” problems of increasing difficulty with detailed answer explanations. The content of the book is aligned to the latest Official Guides from GMAC (12th edition).
Chapter by Chapter
Part I: General
1. DIVISIBILITY & PRIMES
Integers, Rules of Divisibility, Multiples, Divisibility & Addition/Subtraction, Prime Factorization, Factor Foundation Rule, Prime Boxes, Greatest Common Factor, Least Common Multiple, Remainders
2. ODDS & EVENS
Arithmetic Rules, Testing Odd & Even Cases, Sum of Two Primes
3. POSITIVES & NEGATIVES
Absolute Value, Double Negative, Multiplying & Dividing Signed Numbers, Testing Positive & Negative Cases
4. CONSECUTIVE INTEGERS
Properties of Evenly Spaced Sets, Counting Integers in Series, Sum of Consecutive Integers, Products & Sums of Consecutive Integers & Divisibility
5. EXPONENTS
Properties and Rules of Exponents, Special Bases, Simplifying Exponential Expressions, Common Exponent Errors
6. ROOTS
General Rules of Roots, Roots and Fractional Exponents, Simplifying Roots, Imperfect vs. Perfect Squares, Simplifying & Estimating Roots of Imperfect Squares, Common Root Errors, Common Squares and Cubes
7. PEMDAS
Order of Operations, Subtraction of Expressions, Fraction Bars and Grouping Symbols
Part II: Advanced
Includes separate chapters on numerous Advanced Number Properties topics, as well as additional practice problems.