GMAT Tip

If a question requires you to draw conclusions about expressions with even and odd numbers, consider creating a table to test the various cases.

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In the GMAT Integer Properties module, you will learn all of the concepts, techniques and strategies needed to answer integer properties questionson the GMAT. In particular, the GMAT Integer Properties module covers the following topics:

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

Additional Practice

Practice the skills and GMAT-specific strategies you learned in this module by answering the following categorized questions for GMAT Integer Properties:

Official Guide for GMAT Review (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

Official Guide for GMAT Review (12th edition)
Problem Solving: 3, 7, 23, 36, 40, 72, 82, 87, 106, 107, 110, 142, 159, 161, 182, 185, 198, 217, 219, 224

Data Sufficiency: 6, 12, 16, 17, 24, 41, 66, 73, 76, 82, 90, 106, 110, 128, 170, 171, 172

Official Guide for GMAT Quantitative Review (2nd edition)
Problem Solving: 31, 68, 78, 98, 109, 112, 125, 144, 147, 149, 164, 169, 172

Data Sufficiency: 3, 16, 20, 35, 39, 45, 64, 70, 78, 82, 86, 87, 90, 92, 110, 115
 

Track your progress by entering answers directly into our free, downloadable GMAT Prep Now Improvement Chart for the Official Guide (13th edition)

Improvement Chart for the Official Guide (12th edition)