GMAT Integer Properties

In this module, you'll learn all of the concepts, techniques and strategies needed to answer integer properties questions on the GMAT. In particular, this module covers:

  • Divisibility and divisors
  • Prime numbers
  • Squares of integers
  • Rules of divisors
  • Odd/even numbers
  • Testing cases
  • Greatest common divisor (GCD)
  • Least common multiple (LCM)
  • The GCD-LCM formula
  • Properties of consecutive integers
  • Remainders

 

GMAT INTEGER PROPERTIES VIDEOS

  • 1. Lesson: Introduction to Divisibility (6:35)
  • 2. Question: Number of Divisors (1:21)
  • 3. Lesson: Divisibility Rules (7:03)
  • 4. Question: N=5314+k (3:28)
  • 5. Lesson: Prime Numbers (1:49)
  • 6. Lesson: Prime Factorization (7:45)
  • 7. Question: Prime Divisors (2:07)
  • 8. Question: Greatest Integer n (2:02)
  • 9. Lesson: Counting the Divisors of Large Numbers (5:08)
  • 10. Lesson: Squares of Integers (4:01)
  • 11. Question: 2520k is a Perfect Square (1:55)
  • 12. Lesson: Divisor Rules (5:26)
  • 13. Question: 6 a divisor of x (3:18)
  • 14. Lesson: Greatest Common Divisor (GCD) (6:13)
  • 15. Question: GCD of x and y is 12 (3:00)
  • 16. Lesson: Least Common Multiple (LCM) (4:58)
  • 17. Lesson: The GCD-LCM Formula (2:07)
  • 18. Lesson: Even and Odd Integers (9:09)
  • 19. Question: Is x Even (2:43)
  • 20. Lesson: Testing Possible Cases (5:44)
  • 21. Question: What Must Be True? (1:44)
  • 22. Lesson: Consecutive Integers (4:59)
  • 23. Lesson: Introduction to Remainders (6:45)
  • 24. Question: Quotient is x (3:56)
  • 25. Question: Not divisible by 6 (5:10)
  • 26. Lesson: Integer Properties Strategies (4:01)
  • 27. Question: w and k are Integers (2:44)
  • 28. Question: Is n Even? (1:45)
  • 29. Question: GCD of x and y (3:08)
  • 30. Question: 12 is a divisor of n (2:43)
  • 31. Question: Are w, x and y Consecutive? (2:24)
  • 32. Question: K Divided by 67 (4:48)
  • 33. Question: Is k Divisible by 18? (3:28)
  • 34. Question: 2N Divided by D (3:39)
  • 35. Question: Divisible by 3 (2:48)
  • 36. Question: Divisor of 86420 (2:47)
  • 37. Question: Remainder when Divided by 7 (3:32)
  • 38. Question: GCD of J and K (5:17)
Total viewing time for the GMAT Integer Properties module: 152 minutes.

Additional Practice

Each of the above video lessons features a Reinforcement Activities box containing practice questions that are specifically related to the particular concepts covered in that lesson (e.g., the lesson on Divisor Rules). On the other hand, the links below will take you to practice questions that test a wide variety of questions under the general topic of Integer Properties. Given this, you may find it beneficial to work on the questions below AFTER you’ve mastered the content in the Integer Properties module above.

- Official GMAT questions about Divisibility - Problem Solving

- Official GMAT questions about Divisibility - Data Sufficiency

- Official GMAT questions about Remainders - Problem Solving

- Official GMAT questions about Remainders - Data Sufficiency 

 

Practice from the Official Guides

Official Guide for GMAT Review (2019 edition)

Problem Solving: 15, 63, 71, 86, 93, 108, 127, 141, 154, 165, 175, 176, 178, 181, 195, 205

Data Sufficiency: 284, 285, 293, 295, 303, 320, 329, 354, 356, 357, 390

Official Guide for GMAT Review (2018 edition)

Problem Solving: 44, 46, 54, 62, 73, 81, 98, 121, 126, 136, 141, 154, 165, 175, 176, 178, 181, 195, 205

Data Sufficiency: 271, 277, 278, 285, 293, 317, 328, 329, 354, 356, 357, 390

Official Guide for GMAT Review (2017 edition)

Problem Solving: 40, 42, 48, 54, 62, 105, 108, 119, 122, 134, 149, 158, 159, 161, 168, 190, 200, 225

Data Sufficiency: 266, 270, 275, 300, 304, 314, 315, 343, 346, 347, 365, 369, 389

Official Guide for GMAT Review (2016 edition)

Problem Solving: 35, 38, 43, 48, 93, 96, 106, 108, 118, 132, 140, 141, 143, 151, 177, 190, 209, 222, 223   

Data Sufficiency: 3, 9, 31, 36, 60, 72, 99, 102, 121, 125, 149, 174

Official Guide for GMAT Review (2015/13th edition)

Problem Solving: 5, 26, 40, 44, 74, 77, 87, 95, 110, 116, 117, 118, 127, 155, 174, 204, 218, 219, 221, 225

Data Sufficiency: 7, 14, 27, 32, 58, 72, 80, 83, 111, 135, 173

 

While answering practice questions from the Official Guide for GMAT Review (2019, 2018, 2017, 2016 or 2015), you can enter your responses directly into our downloadable Improvement Chart. This will help track your progress and identify areas of weakness.

Change Playback Speed

You have the option of watching our videos at various speeds (25% faster, 50% faster, etc). To change the playback speed, click the settings icon on the right side of the video status bar.

GMAT Practice Tests

Looking for full-length practice tests? If so, check out our list of free and paid resources.

Your opinion means everything

Here's a painless way to record and submit a video testimonial in under 60 seconds

Free “Question of the Day” emails!