Number Properties GMAT Strategy Guide, 4th Edition (Manhattan GMAT Preparation Guides)
Chapter by ChapterPart I: General1. DIVISIBILITY & PRIMESIntegers, Rules of Divisibility, Multiples, Divisibility & Addition/Subtraction, Prime Factorization, Factor Foundation Rule, Prime Boxes, Greatest Common Factor, Least Common Multiple, Remainders2. ODDS & EVENSArithmetic Rules, Testing Odd & Even Cases, Sum of Two Primes3. POSITIVES & NEGATIVESAbsolute Value, Double Negative, Multiplying & Dividing Signed Numbers, Testing Positive & Negative Cases4. CONSECUTIVE INTEGERSProperties of Evenly Spaced Sets, Counting Integers in Series, Sum of Consecutive Integers, Products & Sums of Consecutive Integers & Divisibility5. EXPONENTSProperties and Rules of Exponents, Special Bases, Simplifying Exponential Expressions, Common Exponent Errors6. ROOTSGeneral 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 Cubes7. PEMDASOrder of Operations, Subtraction of Expressions, Fraction Bars and Grouping SymbolsPart II: AdvancedIncludes separate chapters on numerous Advanced Number Properties topics, as well as additional practice problems.