How do I improve at Number Properties questions?

Start by reviewing the Number Properties theory guide, then practice in this difficulty band and track which concepts you miss. Focus on accuracy first, then work on pacing so you finish each question in about two minutes.

Where can I learn Number Properties theory?

Our free Number Properties guide on the GMAT Sprint Quant hub explains the core concepts and formulas, with worked examples you can practice against.

Hard - 655-705 Number Properties Problem Solving GMAT Questions

Hard - 655-705 difficulty Number Properties Problem Solving GMAT practice questions. Every question below links to its own page with the full solution, community comments, and discussion.

Questions

With explanations

With comments

Total comments

Practice Hard - 655-705 Number Properties Problem Solving questions

Hard - 655-705 Number Properties Problem Solving questions measure your command of divisibility, primes, factors, parity, and how the GMAT tests properties of integers.. Here you'll find 11 free questions in this band — every one shows the correct answer, with full step-by-step solutions available once you sign in for free. Practice in this difficulty range to build speed and accuracy, then move up a tier as your scores improve.

Question Type

All types(4)Problem Solving(1710)Critical Reasoning(1023)Data Sufficiency(127)Reading Comprehension

Latest questions

11 questions

PS · Problem Solving

655-705

Number Properties

If k and x are positive integers and x is divisible by 6, which of the following CANNOT be the value of

\sqrt{288kx}

Frequently asked questions

Are these Number Properties Problem Solving questions free?▾

Yes. All 11 questions in this collection are free to practice. Each question shows the correct answer, and signing up for a free account unlocks the complete step-by-step explanations.

What does Hard - 655-705 difficulty mean on the GMAT?▾

The 655-705 band maps to the GMAT Focus scoring range. Questions in this band are hard - 655-705 — ideal for building accuracy before you move up to harder tiers.

Latest Community Comments

recent discussion across these questions

AnitaOct 5

Thanks, clear explanation. I initially forgot to use Legendre's formula and just tried multiplying 4s until I passed 26!, which was a mess lol.

onProblem Solving · Number Properties—What is the greatest value of integer n such that 4^n is a factor of 2...

Jivago JordãoOct 4@Jivago3004

This one took me a while. The trick is realizing W compares the two numbers' digit powers, not the numbers themselves. Once I wrote K and L in expanded form the rest clicked. Solid 700-level question.

Problem Solving · Number Properties