Free GRE Number Properties Questions Prep

Strong preparation in number properties forms a core pillar of a solid GRE prep course, since these concepts frequently appear both as standalone questions and as supporting logic across many quantitative reasoning topics and word problems. On this page, we provide end to end coverage of all number systems concepts required for the GRE. Make effective use of the conceptual video lessons, worked examples, and GRE style solved number properties questions here to apply the concepts and methods across your GRE quizzes, GRE sectional mock tests, and GRE full length mock tests.

The MASTERCLASS Approach for GRE Number Properties Prep

If you prefer long, comprehensive video lessons that bring all ideas together, watch the Masterclass.

The MODULAR Approach for GRE Number Properties Prep

If you prefer short, bite sized video lessons that focus on one concept at a time, work through the concept wise modules below.

Types of Numbers | GRE Number Properties

Number properties sit at the heart of GRE Quant, and a powerful starting point is learning how numbers fall into clear categories, since this foundation supports layered questions and frequent test patterns. This video explains number classification in a clean and organized way by showing that the GRE tests real numbers only, excludes complex numbers, divides real numbers into rational and irrational groups, and further splits rational numbers into fractions and integers, with integers classified into forms such as prime and non prime, even and odd, and related types. The video also brings focus to essential exception cases and repeat patterns, including 2 as the only even prime number, 0 as an even integer, 1 as not a prime number, and pi as a classic irrational value, helping you notice details that often decide the correct answer on GRE.

Even and Odd Numbers | GRE Number Properties

Even and odd numbers hold an important place in GRE Quant number properties, and a clear grasp of how these values behave builds a strong base for many interesting questions. Simple definitions expand into layered results, and steady familiarity with even and odd behavior helps you recognize patterns, follow relationships, and track parity across different setups. The video lesson explains even and odd numbers through a clean and structured approach, covers core properties and common operations, brings focus to parity patterns that often guide answer choices, and then applies these ideas to GRE style problems so you see the approach in action and carry the learning smoothly into your GRE prep and practice.

Prime and Non-Prime Numbers | GRE Number Properties

Clear grasp of prime and non-prime numbers and how these values behave creates base for solving many GRE quant problems. Simple definitions grow into layered results, and steady familiarity with prime structure helps you spot patterns, evaluate factor behavior, and reason accurately across a wide range of questions. The video lesson explains prime and non prime numbers in a clean and organized style, shows how these numbers behave within expressions, products, and conditions, and highlights patterns that often guide answer choices.

Divisibility Rules and Shortcuts | GRE Number Properties

Divisibility rules and shortcuts support GRE Quant problem solving by enabling quick checks of numerical relationships and constraints on selected questions. This video walks you through divisibility rules for values such as 2, 3, 4, 5, 9, 11, 20, 25, and 50, along with higher powers of 2 and 5 and their common combinations, and shows how these rules work within expressions and conditions so you make sound numerical choices.

Units Digit in Large Multiplication | GRE Number Properties

Units digit questions in large multiplication train you to focus only on the final digit of each factor and carry forward just that digit through the process. You identify the units digit at every step, multiply only those digits, and set aside the remaining value since it does not influence the final outcome, which brings clarity and efficiency to this question type. The video lesson explains this approach in a clear and structured way and then applies it to GRE style problems involving large products so you build speed, accuracy, and comfort with these questions in your practice.

Last Two Digits in Large Multiplication | GRE Number Properties

Last two digits questions in large multiplication train you to track only the final two digits of each factor and carry forward just those digits through the entire multiplication process. You isolate the last two digits at every step, multiply only those portions, and ignore the remaining value since it does not affect the final outcome, which keeps the work precise and efficient. The f video explains this approach in a clear and practical structure and then shows how to apply it smoothly to GRE style problems involving large products.

Units Digit of Large Exponents – Cyclicity | GRE Number Properties

Units digit questions with large exponents focus on how the final digit of a number follows a repeating cycle as the power increases, and recognizing this cycle lets you find the units digit quickly without expanding the entire expression. Simple observations lead to precise results, and strong familiarity with exponent cycles helps you track outcomes accurately in problems with large powers. This interesting video lesson explains units digit cyclicity in a clear and structured style, shows how units digits repeat across powers, teaches you how to locate the correct position within a cycle, and then applies the approach to GRE style questions.

Recurring Decimals | GRE Number Properties

Recurring decimals appear when a fraction turns into a decimal whose digits repeat in a fixed pattern. In GRE Quant questions on recurring decimals, you spot the repeating cycle, translate it into a clean form, and then solve exactly what the question asks. This video lesson shows how repeating decimals form, teaches you how to represent them neatly, and then applies the method to GRE style questions so you see the idea working in real time.

LCM and HCF | GRE Number Properties

LCM, the least common multiple, is the smallest number divisible by all numbers in a given set, and HCF, the highest common factor, also called GCD or greatest common divisor, is the greatest number that divides each number in the set. For example, for the set 9, 12, 18, and 24, the LCM is 72 and the HCF is 3. These ideas form the basis of many layered GRE Quant questions and word problems. This conceptual video defines LCM and HCF, explains how to compute them for a set of numbers, highlights how they commonly appear in the GRE Quantitative section, and applies them through multiple GRE style problems so you see how the concepts work in realistic question setups.

Finding Remainder When Divisor Changes | GRE Number Properties

Remainder questions with a changing divisor focus on understanding how a division scenario updates when you divide by a different number. You start with what the original division tells you, then link that information to the new divisor to determine the updated remainder, a skill that appears often in GRE Quant remainder and divisibility questions. The video explains this idea in a simple and engaging way, shows how to carry information forward from the original division, highlights how this pattern commonly appears in GRE Quant problems, and then applies the approach to multiple GRE style questions so you gain hands on experience using the method in practice.

LCM Based Remainder Questions | GRE Number Properties

LCM based remainder questions involve more than one divisor, and solving them revolves around spotting the least common multiple that links those divisors together. This insight brings structure and direction to the problem and helps you reach the remainder efficiently. The video lesson explains this idea in a simple and intuitive way, shows how it commonly appears in GRE Quant questions, and then applies it across varied GRE style problems so you gain direct experience using the method in practice.

Finding Remainder with Exponents | GRE Number Properties

Remainder questions with exponents focus on finding the remainder of a power expression when it is divided by a given number, where the base and exponent work together to shape the result. You track how the value behaves under division and use that behavior to reach the correct remainder with clarity and efficiency. The conceptual video explains this idea in a clear and engaging way, shows how it frequently appears in GRE Quant questions, and then applies the approach to multiple GRE style problems.

Roots and Exponents | GRE Number Properties

Exponents describe repeated multiplication, and roots reverse that process by identifying the base that produces a given value. Simple roots and exponents (also referred to as surds and indices) rules expand into layered outcomes and help you track how values shift within expressions. The video explains roots and exponents in a clear and friendly way, shows how these expressions behave under common operations, and then applies the ideas to GRE style problems so you experience the application directly.